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1 . Which of the following is an open loop control system ? (a) Metadyne( b ) Stroboscope ( c ) Fieldcontrolled d.c motor ( d ) Wardle nard control [C] 2 . In a feed back amplifier , the bandwidth ( a) D e c r e a s e by t h e s a m e a m ou nt a s t h e ga i n i nc re as e ( b ) increases by the same amount as the gain decrease (c) R e m ai n s u n e ff e c te d (d) Decrease by the same amount as the gain de c r e as e[B] 3 . With feed back system ( a) t h e t r a n s i e nt r e s p o n s e d e c ay s at a c on s t a nt r at e ( b ) t he t r a ns i e nt r e s p o n s e d e c ay s m or e qu i ck l y ( c ) the transient response decays slowly ( d ) th e t r a ns i e nt r e s p o n s e ge t s m ag n i fi e d [C] 4 . The transfer functin of the system whose input are related by t h e f ol l ow i n g d i ff e r nt i al e q uat i o n i s gi ve n by d2y/dt2 + 3dy /d t + 2y = + d x/ d t ( a) ( s + 2) / (s 2 + 3s + 2 ) ( b ) 1 /( s 2 + 3s + 2) ( c ) s / ( s 2 + 3s + 2 ) ( d ) ( s + 1) / (s 2 + 3s + 2 )[C] 5 . A unity feed back system has open - loop transfer function G ( s ) = 1 /( 1 +s ) . T h e pole of t h e c los e d l o o p s y s t e m i s l o c a te d o n t h e r e a l a x i s i n th e s - p l a n e at ( a) - 2 ( b ) 2 ( c ) - 1 (d ) - 5 [A] 6 . T h e s t at o r o f a s y n ch r os i s m ad e of ( a) p u r e s te e l ( b ) c a s t i r o n ( c ) l a m i n at e ds i l i c on s t e e l ( d ) s t a i n l e s s s t e e l [D] 7 . T h e t ra n s f e r f u n c t i on i s ( 1 +0 . 5 s ) /( 1+ s ) . I t re p re s e nt s a ( a) p r op or t i on a l c o ntro l l e r ( b ) l a g- l e ad n e two r k ( c ) l e a d n e twor k ( d ) l a g n e two r k[D] 8 . Two blocks having respective functions as G1 and G2 are connected in parallel .Their r esultant willbe ( a) G 1 o r G 2 w h i ch e ve r i s l owe r ( b ) G 1 +G 2 ( c ) G 1 o r G 2 w h i ch e ve r i s h i g h e r ( d) G 1 G 2 [B] 9 . A nod e w i t h o n l y o u tg o i n g b r a n ch e s ( a) n o d e ( b ) o u tp u t no d e ( c ) i n p u t n o de ( d ) b r an ch n o d e [C] 1 0. T h e ch ar a c t e r i s t i c e q u a t i on o f th e s e c on d or d e r s ys te m i s g i ve n by s 2 + 2¸c w0 s +w 0 2 = 0 . T h e t e r m ¸c i s c a l l e d ( a) s t a b i l i ty f ac t o r ( b ) d a m p i n g f ac t o r ( c ) f r eq u e n c y f ac t o r ( d ) p o l e f ac t o r [B] 1 1. T h e d am p i n g r a ti o o f ch ar ac te ri s ti c e q u a ti o n s 2 + 2 s +8 = 0 i s ( a) 0 . 45 3 ( b ) 1 .41 4 ( c ) 0 . 353 ( d ) 0 . 5 [C] 1 2. f o r t h e d i ff e re nt i a l e q u a t i on d 2 y /d t 2 + 2 ¸c w n d y/ d t + w n 2 y = w n 2 x t h e d amp i n g c o e ffi e c i e nt i s ( a) w n ( 1 - 2 ) ( b ) w d 1 - 2 ( c ) ¸c w n ( d ) w n [ 1 - 2 ][C] 1 3. t h e s ys te m r e s p o n s e t o a u n i t s t e p i n p u t f o r a s e rvo - m e ch an i s m i s c ( t ) =1 +0 .2e xp ( - 60 t )- 1. 2 e x p ( - 1 0t ) t h e c l os e d l o op tr a n s f e r f u n c t i on w i l l b e ( a) 1 0 0 S ( s +1 0 ) ( s + 3 0 ) ( b ) 6 0 0 S ( s + 1 0 ) ( s + 6 0 ) ( c ) 4 00 /s ( d ) 2 0 0 ( s + 3 0 ) ( s + 5 )[B] 1 4. Fo r a ny gi ve n c l os e d l o op s y s t e m ( a) o n l y on e of t h e s ta t i c e rr o r c o e ffi e c i e ntas a fi n i te n o z e r o val u e ( b ) a l l t h e c o e ffi c i e nts c a n h ave z e r o va l u ( d ) n o th i n g c a n t e l l[A] 1 5. T h e e rr o r s i g n al p r o d u c e d i n a c o ntr o l s y s t e m i s Qr =a + b t. i f on l y p r o p or t i on al a c t i on i s u s e d , t h e ou t p u t of th e c o ntr o l l e r w i l l b e ( a) K ( a +b t ) ( b ) - / ( a+ b t ) ( c )- K . b ( d ) - K (a + b t) [D] 1 6. t h e nu mb e r o f s i gn ch an g e s i n t h e e nt r i e s i n t h e fi rs t c ol u m n of R ou t h , s ar r ay de n o t e s ( a) t h e nu mb e r o f op e n - l o o p i n L H P ( b ) t h e nu mb e r o f z e r o e s o f th e s y s te m i n t h e L H P ( c ) t h e nu mb e r r o o ts o f ch a r ac t e r i s t i c p ol y n o m i al i n R H P ( d ) t h enu mb e r o f op e n - l o op z e r o e s i n RH P[C] 1 7. G i ve n , t h e ch a r ac t e r i s t i c e q u at i o n a s F ( S ) = 3 (S ) ( S ) +1 0 (S ) ( S ) +5 S +5 S + 2= 0, Th e n t h e s y s t e m i s ( a) c o n d i t i on a l l y s t ab l e ( b ) s t a b l e ( c ) u n s t a b l e ( d ) m a rg in a l l y s t ab l e [B] 1 8. W h i ch o f t h e f o l l ow i n g i s e x h i b i te d by r o ot l o c u s d i ag r am s ( a) t h e b a n d w i d th o f t h e s y s t e m ( b ) t h e p ol e s o f t h e T . F f o r a s e t of p ar a m e t e r va l u e s ( c ) t h e r e sp on s e o f a s y s te m t o a s t e p i n p u t ( d ) t h e f re qu e n c y r e s p o n s e of a s y s t e m[B] 1 9. T h e b re ak away p oi nt s o f t h e r o o t l o c u s o c c u r a t ( a) ( +) ve i m ag i n ar y a x i s ( b ) re a l a xi s ( c ) ( - ) ve i m a gi n a r y ax i s ( d ) mu l t i p l e r o ot s of ch ar a c t e r i s t i c e q u a t i on[D] 2 0. A d d i n g of p o l e s i n t h e t r a ns f e r f u n c ti o n c au s e s t o ( a) ove r s h o o t ( b ) i n c r e as e th e s t a bi l i ty ( c ) n o o s c i l l a to r y ( d ) d e g r ad e s t h e r e l a t i ve s t ab i l i ty[D]

2 . t h e c l os e d l o op tr a n s f e r f u n c t i on of t h e o p e n l o o p t r an s f e r f u n ct i o n , G s = K S ( 1 + S T ) o f a u n i ty f e e d b a ck s y s t e m i s ( a) K ( 1 + s T ) S (b ) K S 2T + s + k ( c ) K s ( T + s T ) ( d ) K / S B 3 . T h e s e n s i t i v i ty of a c l o s e d - l o o p s y s t e m to g a i n ch a n ge s a nd l oa dd i s tu r b a n c e s d e p e n d s u p o n ( a) l o op ga i n ( b ) f o r war d g ai n ( c ) f o rwar d g ai n , l o op ga i n a n d f r e q u e n c y ( d ) f r e q u e n cyC 4 . I n th e f o l l ow i n g , p i ck o u t t h e n o n l i n e ar s ys te m s ( i ) d 3 y( t ) /d t 3 +t 3 d 2 y ( t) / d t 2 + t d y ( t )/ d t + y 2 = 2 0 s i n w T ( i i ) d 2 y ( t) / d t 2 + ( 1/ t ) d y/d t + y = 4 ( i i i ) d 2 y ( t) / d t 2 ] + d y / d t + y (t ) = 5 ( a) ( I I ) an d (I I I ) ( b ) ( I ) a n d ( I I ) ( c ) ( I ) a n d ( I I I ) ( d ) I I o n l yC 5 . Tra n s f e r f u n c t i on of a s y s t e m i s u s e d t o c al c u l at e ( a) t h e o r d e r o t h e s y s t e m ( b ) t h e o u t p u t f o r any g i ve n i n p u t ( c ) t h e m a i n c o n s ta n t ( d ) t h e s te ad y s ta t e g ai n . B 6 . O n e o f t h e d i s ad vant a ge s o f a s e rvo m ot o r i s th a t ( a) i t c a n h a n d l eo n l y l i g ht l oa d s ( b ) i t h a s l ow s ta r ti n g t o r qu e ( c ) i t h a s l ow r e l i a b i li t y ( d ) i t d e ve l o p s c o m mu n i c a ti o n p r o b l e m B 7 . A n e two r k h as a p o l e a t s = - 1 a n d a z e r o a t s = - 2. i f t h i s n e two r k i s exc it e d by s i nu s o i d al i n p ut , th e o u tp u t ( a) i s i n p h a s e w i t h i n p u t ( b ) la gs t h e i n p u t ( c ) d e c ay s e x p o n e nt i al l y t o z e ro ( d)leadstheinputB 8 . T wo b l o ck s h avi n g r e s p e c t i ve f u n c t i o n s a s G 1 ab d G 2 a r e c o n n e ct e d i n p a ra l l e l . T h e i r r e s u l t ant w i l l b e ( a) G 1 G 2 ( b ) G 1 o r G 2 w h i che ve r i s h i g h e r ( c ) G 1 o r G 2 w h i ch e ve r i s l owe r ( d ) G 1 +G 2 D 9 . A f e e d b a ck l o o p c on s i s ti n g o f on l y o n e b r a n ch i s ( a) i n p u t l o op (b ) s e l f l o op ( c ) f o r war d l o o p ( d ) o u tp u t l o o p B 1 0. T h e ch ar a c t e r i s t i c e q u a t i on o f th e s e c on d or d e r s ys te m i s g i ve nby s 2 + 2 ¸c w 0 s +w 0 2 = 0 . I f ¸c =1 , t h e s y s t e m e x h i b i t s ( a) n o ove r s h oot ( b ) l a rg e ove rs h o o t ( c ) s m a l l ove r s h o o t ( d ) l a rg e u n de rs h o o t A 1 1. T h e ch ar a c t e r i s t i c e q u a t i on o f th e s e c on d or d e r s ys te m i s g i ve nby s 2 + 2¸c w 0s + w 0 2 = 0 . I f = 0 1 , t h e p o l e s a r e ( a) + o r - j ¸c w 0 ( b ) +o r - j w 0 ( c ) + o r - j w 0 2 ( d ) + o r - j ¸c w 0 2 B 1 2. A s e c o n d o r d e r s y s t e m w i t h n o z e r os h a s i t s p o l e s l o c at e d at -3+ j 4 a n d - 3- j 4 i n th e s - p l an e t h e un d a m p e d n at u r a l f r e q u e n c y a n d th e d am p i n g f a c t o r of t h e s ys te m ar e r e s p e c ti ve l y ( a) 5 ra d / s e c an d 0 . 6 0 ( b ) 3 ra d / s e c a nd 0. 6 0 ( c ) 4 ra d / s e c a nd 0. 7 5 ( d ) 5 ra d / s e c an d 0 .8 0 A 1 3. Ve l os i ty e r r o r c o ns t ant o f a s y s t e m i s m e as u r e d w h e n t h e i n p u t to th e s y s t e m i s u n i f u n c t i o n ( a) I m p u l s e ( b ) S t e p ( c ) p a ra b o l i c (d ) R am p D 1 4. I n a c ont r ol s y s t e m i nt e g ra l e rr o r c o m p e n s a t i on s t e a d y s t a te e rr or ( a) d e c r e a s e s ( b ) n o th i n g c a n t e l l ( c ) i n c r e a s e s ( d ) d o e s n oth ave any e ff e c t o n A 1 5. T h e e rr o r s i gn a l p r o d u c e d i n a c ont r ol s y s t e m i s Q r= a +b t . i f o n l yp ro p o rt i o n al a c t i o n i s u s e d , t h e i n p u t i s gi ve n t o t h e fi n a l c o nt ro l e le m e nt w h e n P I D a c t i on i s u s e d , w i l l b e ( a) - ( K a + K 1b t + K 2 a+ K 2 b t) ( b ) ( ( K a+ K 1 ( a+ b t )+ K 2 (a t +b t 2 ) ) ( c ) - K (a + b tK 1( a t+ b t 2K 2 b ) ) ) ( d ) ( ( Ka+ K 1 ( a+ b t )+ K 2 (a t +b t 2 ) ) C1 6. i n R - H c r i t e r i on , i f t h e r e a r e ch a n ge s o f s i n gs i n t h e E l e m e nt s oft h e fi r s t c ol u m n , th e n t h e nu mb e r of s i g n ch a n ge s i n d i c a t e ( a) T h enu mb e r of r o ot s w i t h p o s i t i ve r e al p ar t ( b ) T h e nu mb e r of p a i r of r o o ts o f p os i ti ve s i gn ( c ) t h e nu mb e r o f ro o t s w i t h ne ga t i ve r e al p ar t ( d ) Th e nu mb e r of p a i r of r o o t s o f s am e s i g n A 1 7. A s te p f u n c t i o n i s ap p l i e d t o th e i n p u t o f s y s t e m an d ou t p u t i s oft h e f or m y = t, t h e s y s t e m i s ( a) u n s t a b l e ( b ) n o t n e c e s s ar i l y s ta b l e( c ) c o n d i t i on a l l y s t ab l e ( d ) s t a b l e A1 8. A s ys te m h a s l o o p g ai n a s G ( s ) H ( s ) = K /s (s +1 ) (s +2 ) (s +3 ) . t h e nu mbe r of p ol e s a n d z e ro s re s p e c t i ve l y a re ( a) 4 , 0 ( b ) 2 , 2 ( c ) 1 , 3 ( d ) 1 , 4C 1 9. I n ro o t l o c u s p l o t d i ff e r e nt r o ot s h ave t h e s am e ( a) g ai n m ar gi n and p h as e m a rg i n ( b ) p h a s e ( c ) g ai n ( d ) p h a s e a n g l eA 2 0. A d d i n g i n t h e z e r os i n t h e t ra n s f e r f u n c t i on c a u s e s ( a) n o c o mp e n s a t i on ( b ) l e a d c o m p e n s a t i on ( c ) l a g - c om p e n s at i o n ( d ) l e ad - l a g c om p e n s a ti o n C

o nt r o l s y s t e m ? ( a) I n p u t c om m a n d i s th e s o l e f ac t o r r e s p o n s i b l e f or p rovi d i n g t h e c o nt r ol ac ti o n ( b ) l e s s e x p e n s i ve ( c ) G e n e ra l l y f r e e f r om p r ob l e m s o f n o n l i n e a r i ti e s ( d ) P r e s e n c e o f n o n - l i n e ar i t i e s c au s e s m a l - f u n c ti o n i n g D 2 . I n a s y s t e m , i f f o rwa r d g ai n i s 7 6 an d on e f o u rt h of th e vol t a ge i s f e e d b ack , th e o u tp u t e rr o r i s ( a) 5 p e r c e nt o f th e e r r or w i th o u t f e e d b ack ( b ) 1 5 p e r c e nt o f t h e e r ro r w i t h o u t f e e d b a ck ( c ) 1 0 p e r c e nt o f t h e e r ro r w i t h o u t f e e d b a ck ( d ) 2 0 p e r c e nt o f t h e e r ro r w i t h o u t f e e d b a ck A 3 . R e ge n e r at i ve f e e d b ack i m p l i e s f e e d b ack w i th ( a) n e g at i ve s ig n ( b ) s t e p i n p u t ( c ) o s c i l l a ti o n s ( d ) p o s i t i ve s i g n D 4 . T h e d e s c r i b i n g e q u a ti o n o f a m a s s d am p e r s p r i n g s y s t e m is g i ve n by 2 d 2 x /d t 2 + d x /d t + 0 . 5 x = f ( t ) W h e r e f ( t ) i s t h e e xt e r n a l f or c e ac ti n g on t h e s ys te m a n d x i s th e d i s p l a c e m e nt of m a s s . T h e s te ad y s t at e d i s p l ac e m e nt c o r re s p o n d i ng t o a f o r c e of 2 N e w t on s i s gi ve n b y ( a) 2 m ( b ) 0 . 25 m ( c ) 4 m ( d ) 0 . 5m C 5 . T h e p o l e s o f F ( s ) = 1/ ( 1 - e 5) ar e l o c a t e d a t ( a) n o p o l e s ( b ) s = 1 on l y ( c ) s = 0 an d 1 ( d ) s = +- j 2n p i ( n = 0 , 1 , 2 . . . . . . . . ) D 6 . W h i ch o f th e f o l l ow i n g d e v i c e c a n b e u s e d to c o nt ro l t h e p o s i t i on o f ve r y s m al l l oa d ( a) D C s e r vo m o to r ( b ) s y n ch r o ( c ) P M M C m ove m e nt ( d ) AC s e r vo m o t or B 7 . T h e tr a n s f e r f u nc ti o n o f a s i m p l e R- C n e twor k f u n c t i o n i n g as a c ont ro l l e r i s G ( s ) = ( s +Z 1) / ( s +P 1) . T h e c on d i t i o n f o r R - C n e two r k t o ac t as a p h as e l e a d c o nt ro l l e r i s ( a) P 1 < Z 1 ( b ) P 1 = Z 1 ( c ) P 1 = 0 ( d ) P 1 > Z 1 D 8 . T wo b l o ck s h avi n g r e s p e c t i ve f u n c t i o n s a s G 1 an d G 2 a re c o n n e c t e d i n s e r i e s c a s c a d e . T h e i r re s u l ta nt w i l l b e ( a) G 2 /G 1 ( b ) G 1 + G 2 ( c ) G 1 /G 2 ( d ) G 1 G 2 D 9 . A p a t h f r o m i n p u t n o d e to o u t p u t n o d e i s c a l l e d ( a) f o r war d p a t h ( b ) f e e d b a ck p at h ( c ) o u tp u t p at h ( d ) s e l f p a th A 1 0. T h e ch ar a c t e r i s t i c e q u a t i on f or t h e s e c o n d o r d e r d i ff e r e nt i a l e q u at i o n o f t h e f or m d 2 y /d t 2 + 2 ¸c w n d y/ d t + w n 2 y = w n 2 x ( a) S 2 + ¸c w n S + w n 2 = 0 ( b ) S 2 + 2 ¸c w n + w n 2 = 0 ( c ) S 2 + 2 ¸c w n S + w n 2 = 0 ( d ) S 2 + 2 w n S + w n 2 = 0 C 1 1. Fo r t h e f ol l ow i n g d i ff e r e nt i al e q u at i o n 2 d 2 y /d t 2 + 4 d y /d t + 8 y = 8 x, th e d a m p i n g ra t i o i s ( a) 0 . 7 ( b ) 1 ( c ) 0 . 5 ( d ) 2 C 1 2. T h e ou t p u t y ( t ) of t h e s ys te m w h e n i n p u t x (t ) = ( t ) an d al l i n i ti a l c on d i t i on s a re z e r o i s d e fi n e d by ( a) u n i t r a m p r e s p o n s e ( b ) u n i t p a r ab o l i c r e s p on s e ( c ) u nitstepresponse(d)unitimpulseresponseD 1 3. I n c as e o f ty p e - 1 s y s t e m s t e a d y s t a te a c c e l e r a ti o n i s ( a) i n fi n i ty ( b ) u n i ty ( c ) Z e ro ( d ) 1 0 A 1 4. T h e ve l o c ity e r r o r c o e ffi e c i e nt f or a u n i ty f e e d b a ck s y s t e m i s d e fi n e d as ( a) L i m S 2 G ( s ) s 0 ( b ) L i m G (s ) s 0 ( c ) L i m S * G ( s ) s 0 ( d ) L i m G (s )/ s s 0 C 1 5. i n a f or c e b al a n c e ty p e p n e u m at i c c o nt r ol l e r , t h e nu mb e r of b e l l ow s r e q u i r e d f or P - a c t i on ( a) 3 ( b ) 4 ( c ) 2 ( d ) 1 C 1 6. I f t h e s y s t e m h as mu l t i pl e p o l e s on th e j w a xi s , t h e s ys te m i s ( a) u n s t a b l e ( b ) m a rg i n a l ly s t ab l e ( c ) c o n d i t i on a l l y s t ab l e ( d ) s t a b l e 1 7. G i ve n , t h e ch a r ac t e r i s t i c e q u at i o n a s F ( S ) = 3 (S ) ( S ) +1 0( S ) ( S ) +5 S +5 S +2 = 0, T h e n t h e nu mb e r of r o o t s t h a t a re o n t h e R . H . S o f t h e S - P l an e ar e ( a) 4 ( b ) 2 ( c ) 3 ( d)1 1 8. w h i ch of t he f o l l ow i n g s ta t e m e nt s i s n ot tr u e f o r r o o t l o c u s te ch n i qu e ( a) i t i s u s e d to o b t ai n c l os e d - l o o p p o l e c o n fi g u ra t i on f r om op e n - l o op p ol e s a n d z e ro s ( b ) i t p r ov i d e s t h e p a t te rn of m ove m e nt o f c l os e d - l o op p ol e s w h e n o p e n - l o o p g ai n var i e s ( c ) c a n t t e l l f r o m t h e op t i o ns g i ve n ( d ) i t i s m os t u s e f u l f o r s i n gl e - i n putandsingle -outp utsystem 1 9. A f e e d b ack s y s t e m h a s i t s ch a r ac t e r i s t i c e qu a t i on a s 1 + K s ( s + 1 ) ( s + 2 ) = 0 t h e p e ri o d o f t h e a s y m p to t e s w i l l b e e q u e l ( a) - 1 ( b ) - 2 ( c ) - 4 ( d ) - 3 2 0. A d d i n g o f p o l e s i n t h e t r a n s f e r f u n c ti o n c au s e s t o ( a) i n c r e a s e th e s t ab i l i ty ( b ) n o o s c i l l a to r y ( c ) d e g r ad e s t h e r e l a t i ve s t ab i l i ty ( d ) ove r s h o o T KEY: 1d 2a 3d 4c 5d 6b 7d 8d 9a 10c 11c 12d13a 14c 15c

) o u tp u t i s i n d e p e n d ant o n c o ntr o l i n p u t ( c ) i n p u t i s i n d e p e n d a nton c ont r ol l e r ( d ) o n l y s y s t e m p a r am e t e r s h ave e ff e c t o n t h e c ont r ol ou t p u t B 2 . T h e c l o s e d l o o p tr a n s f e r f u n c t i on o f t h e o p e n l o o p t r a n s f e r f u n c t i on , G ( s )= K / [ s ( 1+ s T ) ] o f a u n i ty f e e db a ck s ys te m i s ( a) K ( 1 + S T ) S 2 ( b ) k /s (T +s T ) ( c ) k (1+ s T ) / s ( d ) k /( s T +s + k ) D 3 . I n c l os e d l o op c ont r ol s y s t e m w i t h p os i ti ve val u e o f f e e d b ack g a i n t h e ove r a l l gai n of t h e s y s te m ( a) b e u n e ff e c t e d ( b ) i n c r e a s e ( c ) N o th i n g c an t e l l ( d ) d e c r ea s e B 4 . T h e p o s i t i on y of a m ov i n g o b j e c t o f c o n s t a nt ma s s M i s r e l a t e d t o t h e t o t al f orc e f a p p l ie d t o t h e o b j e c t by d i ff e r e nt i al e q u at i o n M d 2 y /d t 2 = f i ts t ra n s f e r f un c t i o n w i l l b e ( a) F ( s ) = M s ( b ) F ( s ) = 1 /M s 2 ( c ) F ( s ) = 1 /M s 3 ( d ) F ( s ) = 1 /M s B 5 . T h e t r an s f e r f u n c t i o n o f t h e s ys te m w h o s e i n p u t a n d ou t p u t a r e r e l a t e d by th e f ol l ow i n g d i ff e r e nt i al e q u at i o n i s g i ve n by d 2 y /d t 2 + 3 d y /d t + 2 y = x + d x /d t (a) ( s + 2) / (s 2 + 3s + 2 ) ( b ) s / ( s 2 + 3s + 2 ) ( c ) ( s + 1) / (s 2 + 3s + 2 ) ( d ) 1 /( s 2 + 3s + 2 )C 6 . W h i ch o f th e f o l l ow i n g s t a t e m e nts i s n ot c or r e c t f or s e r vo m e ch a n i s m s ? ( a) As e r vo w i t h b e t te r f r e q u e n c y r e s p on s e n e e d n ot b e s ta b l e ( b ) s t e a d y s t a te a c c ur ac y of a s e r vo is b e t t e r t h a n t h a t of a r e gu l a t or ( c ) A m o t or m ay b e ad d e d t o c onve rt a r e g u l at or i nt o a s e rvo ( d ) S o m e s e rvo s d o n o t n e e d to b e s t a b l e , s i n c e t h e y a r ei nt e n d e d f or u s e w i t h s t e ad y s i gn a l s D 7 . T h e t ra n s f e r f u n c t i on i s ( 1 +0 . 5 s ) /( 1+ s ) . I t re p re s e nt s a ( a) l e a d n e twor k ( b ) la g- l e ad n e two r k ( c ) l a g n e two r k ( d ) p r op or t i on a l c o nt ro l l e r C 8 . T wo b l o ck s h avi n g r e s p e c t i ve f u n c t i o n s a s G 1 an d G 2 a re c o n n e c t e d i n s e r i e sc a s c a d e . T h e i r re s u l ta nt w i l l b e ( a) G 1 G 2 ( b ) G 2 /G 1 ( c ) G 1 + G 2 ( d ) G 1 /G 2A 9 . A f e e d b a ck l o op c on s i s ti n g o f on l y o n e b r a n ch i s ( a) s e l f l o op ( b ) o u tp u t l o o p ( c ) i n p u t l o op ( d ) f o r war d l o o p A 1 0. N a tu r a l f r e q u e n c y of a u n i ty f e e d b a ck c o nt r ol s y s t e m o f tr a n s f e r f u n c t i on G ( s ) = 1 0 /s ( s + 1 ) i s ( a) 4 . 6 ra d / s e c ( b ) 0 . 5 ra d / s e c ( c ) 3 . 16 r a d /s e c ( d ) 4 . 16 r a d /s e c C 1 1. T h e ty p e - 2 s y s t e m h a s ( a) n o n e t p o l e at t h e or i g i n ( b ) s i m p l e p o l e a t t h e o r i gi n ( c ) two p ol e s a t t h e o r i gi n ( d ) n e t p ol e at t h e or i g i n C 1 2. I n c ont r ol s y s t e m e xc e s s i ve b a n d w i d t h s h o u l d b e avo i d e d b a c au s e ( a) n o i s e i s p r op or t i on a l t o b a n d w i d t h ( b ) i t l e a d s to h i g h s p e e d o f re s p o n s e ( c ) i t l e a d s to s l ow s p e e d of r e s p o n s e ( d ) i t l e a d s to l ow r e l a t i ve s t ab i l i ty A 1 3. Ve l os i ty e r r o r c o ns t ant o f a s y s t e m i s m e as u r e d w h e n t h e i n p u t t o th e s y s t e m i s u n i f u n c t i o n ( a) I m p u l s e ( b ) R am p ( c ) p a ra b o l i c ( d ) S t e p B 1 4. T h e p o s i t i on e rr o r c o e ffi e c i e nt f or a u n i ty f e e d b ack s y s t e m i s d e fi n e d a s ( a) L i m S 2 G ( s ) s 0 ( b ) L i m S * G ( s ) s 0 ( c ) L i m G ( s )/ s s 0 ( d ) L i m G ( s ) s 0 D 1 5. T h e e rr o r s i gn a l p r o d u c e d i n a c ont r ol s y s t e m i s Q r= a +b t . i f o n l y p ro p o rt i o n al a c t i o n i s u s e d , t h e i n p u t i s gi ve n t o t h e fi n a l c o nt ro l e l e m e nt w h e n P I D a c t i on i s u s e d , w i l l b e ( a) - K (a + b tK 1( a t+ b t 2K 2 b ) ) ) ( b ) ( ( K a+ K 1 ( a+ b t )+ K 2 (a t +b t 2 ) ) ( c ) - ( K a + K 1b t + K 2 a+ K 2 b t) ( d ) ( ( K a+ K 1 ( a+ b t )+ K 2 (a t +b t 2 ) ) A 1 6. t h e t r a n s f e r f u n c ti o n o f a u ni ty f e e d b ack s y s t e m i s G ( s ) = K / s ( s + s ) ( s +5 ) . th e r an g e of K f or s ta b l e o p e r a t i on i s ( a) K = 0 ( b ) 0 < K < 3 0 ( c ) K = 10 ( d ) K > 4 0 B 1 7. G i ve n , G ( s ) = ( 1 - s ) /( s ( s + 2) ) . T h e s y s t e m w i t h t h e t r a n s f e r f u n c ti o n i s op e ra t e d i n a C l o s e d - l o op w i th u n i ty f e e d b ack . T h e c l os e d - l o op s y s t e m i s ( a) u n s t a b l e ( b ) c o n d i t i on a l l y s t ab l e ( c ) m a rg i n a ll y s t ab l e ( d ) s t a b l e BD 1 8. T h e r o o t l o c u s p l ot i s s y m m e t r i c a l ab ou t t h e r e al ax i s b e c a u s e ( a) a l l r o ot s o c c u r i n p a i r s ( b ) c o m p l e x r o ot s o c c u r i s c on j u ga te p a i rs ( c ) r o ot s o c c u r s i mu l t an e o u s l y i n l e f t h a n d a n d r i g ht h a n d p l a n e ( d ) r o ot s ar e re a l B 1 9. G ( s ) H ( s ) = K /s (s +1 ) (s +2 ) (s +3 ) t h e r o ot l o c i l y i n g on th e r e al ax i s ar e b e twe e n ( a) s = - 1 a n d s = - 2 ; s =- 2 a n d s =- 3 ( b ) s = - 1 an d s = 0; s = - 2 a n d s = - 3 ( c ) s = - 1a n d s = 0 ; s = - 1 a n d s =- 2 ( d ) s = - 2 a n d s = - 3; s = - 1 an d s = - 2 B 2 0. T h e e ff e c t of ad d i n g p ol e s a nd z e r o s c a n b e d e t e r m i n e d qu i ck l y by w h i ch of t h e f o l l ow i n g ( a) b o d e p l ot ( b ) r o ot l o c u s ( c ) N i ch o l as ch ar t ( d ) ny qu i s t p l ot A 1B 2D 3B 4B 5C 6D 7C 8A 9A 10C 11C 12A 13B 14D 15A 16B 17D 18B 19B 20A

o nt r o l s y s t e m ? ( a) l e s s e x p e n s i ve ( b ) G e n e ra l l y f r e e f r om p r ob l e m s o f n o n - l i n e a r i ti e s ( c ) P r e s e n c e o f n o n - l i n e ar i t i e s c au s e s m a l - f u n c ti o n i n g ( d ) I n p u t c om m a n d i s th e s o l e f ac t o r r e s p o n s i b l e f or p rovi d i n g t h e c o nt r ol ac ti o n C 2 . I nt r o d u c ti o n o f n e ga t i ve f e e d b a ck i n a s ys te m d o e s n o t l e a d t o r e d u c t i o n i n ( a) i n s t a b i l i ty ( b ) ove r a l l ga i n ( c ) b a n d w i d th ( d ) d i s t o rt i o n C 3 . I n c l os e d l o op c ont r ol s y s t e m w i t h p os i ti ve v al u e o f f e e d b ack g a i n t h e ove r a l l g ai n of t h e s y s te m ( a) N o th i n g c an t e l l ( b ) i n c r e a s e ( c ) d e c r e a s e ( d ) b e u n e ff e ct e d B 4 . T h e d e s c r i b i n g e q u a ti o n o f a m a s s d am p e r s p r i n g s y s t e m is g i ve n by 2 d 2 x /dt 2 + d x /d t + 0 . 5 x = f ( t ) W h e r e f ( t ) i s t h e e xt e r n a l f or c e ac ti n g on t h e s ys te m a n d x is th e d i s p l a c e m e nt of m a s s . T h e s te ad y s t at e d i s p l ac e m e nt c o r re s p o n d i ng t o a fo r c e of 2 N e w t on s i s gi ve n by ( a) 2 m ( b ) 4 m ( c ) 0 . 5m ( d ) 0 . 25 m B 5 . T h e p o l e s o f F ( s )( s 2 - 1 6 )/ ( s 5 - 7 s 4 - 3 0 s 3 ) a r e l o c a te d a t ( a) s = 0 (t r i p l e p ol e) , - 3 a n d 10 ( b ) s = 0 (t r i p l e p ol e ) , - 3 a n d 10 ( c ) s = 4, 4 ( d ) s = 0, 4, 16 A 6 . T h e fi e l d of a d . c s e r vo - m o t or i s s e p ar a t e l y e x c i t e d by a d . c a m p l i fi e r o f ga i nK = 9 0. I f t h e fi e l d h a s a n i n d u c t an c e o f 2 H an d a r e s i s t an c e o f 5 0 oh m s t h e val u e of t h e fi e l d c o n s t ant w i l l b e ( a) 0 . 04 s e c ( b ) 0 . 01 s e c ( c ) D 0. 5 s e c ( d ) 0 . 02 s e A 7 . T h e tr a n s f e r f u nc ti o n o f a s i m p l e R- C n e twor k f u n c t i o n i n g as a c ont ro l l e r i s G (s ) = ( s +Z 1) / ( s +P 1) . T h e c on d i t i o n f o r R - C n e two r k t o ac t as a p h as e l e a d c o nt ro l l er i s ( a) P 1 < Z 1 ( b ) P 1 = 0(c)P1>Z 1(d)P1=Z1C 8 . T wo b l o ck s h avi n g r e s p e c t i ve f u n c t i o n s a s G 1 ab d G 2 a r e c o n n e c t e d i n p a ra l le l . T h e i r r e s u l t ant w i l l b e ( a) G 1 +G 2 ( b ) G 1 o r G 2 w h i ch e ve r i s l owe r ( c ) G 1 o r G 2 w h i ch e ve r i s h i g h e r ( d)G1G2A 9 . A n o d e w i t h o n l y i n c o m i n g b ra n ch e s i s c a l l e d as ( a) n o d e ( b ) s i n k n o d e ( c ) in p u t n o d e ( d ) b r an ch n o d e B 1 0. T h e ch ar a c t e r i s t i c e q u a t i on of th e s e c on d or d e r s ys te m i s g i ve n by s 2 + 2¸c w 0s+ w 0 2 = 0 . I f ¸c = 1 , t h e p ol e s o f t h e tr a n s f e r f u n c t i on w i l l b e ( a) e q u a l t o - 1 ( b ) r ea l a n d e q u al ( c ) i m a gi n a r y an d e q u al ( d ) c o m l e x c o n j u g at e B 1 1. T h e ch ar a c t e r i s t i c e q u a t i on of th e s e c on d or d e r s ys te m i s g i ve n by s 2 + 2¸c w 0s +w 0 2 = 0 . I f ¸c < 1 , t h e p ol e s ar e ( a) c o m p l e x c o n j u g at e ( b ) i m a gi n a r y an d e q u al( c ) r e a l a n d u n e q u al ( d ) r e a l a n d e q u al B 1 2. A u n i ty f e e d b ack s ys te m h a s t r an s f e r f u n c t i o n G ( s ) = 9 S ( s + 3 ) ( a) d a m p i n gr a t i o= 0. 8 ( b ) n a tu r a l f r e q u e n c y = 9 ( c ) n a tu r a l f r e q u e n c y = 3 ( d ) d a m p i n g r a ti o= 0 . 6 C 1 3. T h e ty p e 0 s y s t e m h a s a t t h e o ri g i n ( a) two p ol e s ( b ) n e t p ol e ( c ) n o p o l e ( d) s i m p l e p o l e C 1 4. T h e s t e a d y s t at e ac c e l e r at i o n e r r or f or a ty p e 1 s ys te m i s ( a) B e twe e n 0 an d 1 (b ) I n fi n i t e (c)0(d)1B 1 5. i n a f or c e b al a n c e ty p e p n e u m at i c c o nt r ol l e r , t h e nu mb e r of b e l l ow s r e q u i re d f or P I - a c t i on ( a) 3 ( b ) 2 ( c ) 4 ( d ) 1 A 1 6. t h e ch a r ac t e r i s t i c e q u at i o n o f a u n i ty f e e d b ack s y s t e m i s g i ve n by s 3 + s 2 +4s + 4 =0 ( a) t h e s ys te m h a s two p ol e s i n th e R H s - p l an e ( b ) t h e s ys te m i s as y m p t ot ic a l l y s t a b l e ( c ) n o t s t ab l e ( d ) t h e s ys te m h a s n o p o l e s i n t h e R H s - p l an e D 1 7. G i ve n , t h e ch a r ac t e r i s t i c e q u at i o n a s F ( S ) = 3 (S ) ( S ) +1 0( S ) ( S ) +5 S +5 S +2 = 0, T h e n t h e nu mb e r of r o o t s t h a t a re o n t h e R . H . S o f t h e S - P l an e ar e ( a) 1 ( b ) 3 ( c ) 2 ( d)4C 1 8. w h i ch of t he f o l l ow i n g s ta t e m e nt s i s n ot tr u e f o r r o o t l o c u s te ch n i qu e ( a) c a n t t e l l f r o m t h e op t i o ns g i ve n ( b ) i t i s m os t u s e f u l f o r s i n gl e - i n p u t a n d s i n g l e - o u t p u t s y s t e m ( c ) i t i s u s e d to o b t ai n c l os e d - l o o p p o l e c o n fi g u ra t i on f r om op e n - l o op p ol e s a n d z e ro s ( d ) i t p r ov i d e s t h e p a t te rn of m ove m e nt o f c l os e d - l o op p ol e s w h e n o p e n - l o o p g ai n var i e s A 1 9. G ( s ) H ( s ) = K /s (s +1 ) (s +2 ) (s +3 ) T h e n , t h e a n gl e o f a s y m p t ot e s w i t h r e a l a xi s r e s p e c t i ve l y a r e ( a) 4 5 0 , 1 35 0 , 2 25 0 , 3 1 5 0 ( b ) 4 5 0 , 1 35 0 ( c ) 4 5 0 , 1 35 0 , 2 25 0 (d)340,450A 2 0. A d d i n g a z e r o ve r y c l o s e t o o ri g i n i n t h e T . F h as i m p ac t on ( a) i m p u l s e r e s p o n s e ( b ) t r an s i e nt re s p o ns e ( c ) s t e a d y s t a te r e s p o n s e ( d ) n o e ff e c t on r e s p o n s eB CCBBAACABBBCCBADCAAB

m ( c ) P r o c e s s c o ntr o l s y s t e m ( d ) O u tp u t C ont r ol st e m VC 2 . T h e c l o s e d l o o p tr a n s f e r f u n c t i on o f t h e o p e n l o o p t r a n s f e r f u n c ton , G ( s ) = K / [ s ( 1+ s T ) ] o f a u n i ty f e e db a ck s ys te m i s ( a) k /s (T +s T ) ( b ) K (+ S T ) S 2 ( c ) k ( 1+ s T ) / s ( d ) k /( s T +s + k ) D 3 . W i t h f e e d b a ck s y s t e m ( a) t h e t r an s i e nt r e s p o n s e d e c ay s at a c on s tnt r at e ( b ) t h e t r a ns i e nt r e s p o n s e d e c ay s s l ow l y ( c ) t h e t r a ns i e nt r e so n s e ge t s m ag n i fi e d ( d ) t h e t r a ns i e nt r e s p o n s e d e c ay s m or e qu i c k l yB 4 . T h e t ra n s f e r f u n c t i on of t h e s ys te m w h o s e i n p u t ar e r e l a t e d by t h e fl ow i n g d i ff e r nt i al e q u at i o n i s gi ve n by d 2 y /d t 2 + 3 d y /d t + 2 y = + d x/ d t (s / ( s 2 + 3s + 2 ) ( b ) ( s + 2) / (s 2 + 3s + 2 ) ( c ) 1 /( s 2 + 3s + 2 ) ( d ) ( s + 1) / (s 2 + 3s2 ) A 5 . Tra n s f e r f u n c t i on of a s y s t e m i s u s e d t o c al c u l at e ( a) t h e s te ad y s ta tg ai n . ( b ) t h e o u t p u t f o r any g i ve n i n p u t ( c ) t h e o r d e r o f t h e s y s t e m ( dt h e m a i n c o n s t a nt B 6 . T h e s t at o r of a s y n ch r os i s m ad e of ( a) s t a i n l e s s s t e e l ( b ) p u r e s te ec ) l a m i n at e d s i l i c on s teel(d)castironA 7 . T h e t ra n s f e r f u n c t i on i s ( 1 +0 . 5s ) /( 1+ s ) . I t re p re s e nt s a ( a) p r op or t i oa l c o nt ro l l e r ( b ) l a g n e two r k ( c ) l e a d n e twor k ( d ) l a g - l e ad n e two r kB 8 . T wo b l o ck s h avi n g r e s p e c t i ve f u n c t i o n s a s G 1 ab d G 2 a r e c o n n e c t e dn p a ra l l e l . T h e i r r e s u l t ant w i l l b e ( a) G 1 o r G 2 w h i ch e ve r i s l owe r ( b ) Go r G 2 w h i ch e ve r i s h i g h e r ( c ) G 1 +G 2 ( d )G1G2C 9 . A f e e d b a c k l o o p c on s i s ti n g o f on l y o n e b r a n ch i s ( a) o u tp u t l o o p ( b )n p u t l o op ( c ) s e l f l o op ( d ) f o r war d l o o p C 1 0. T h e ch ar a c t e r i s t i c e q u a t i on o f th e s e c on d or d e r s ys te m i s g i ve n by s+ 2 ¸c w 0 s +w 0 2 = 0 . I f ¸c =1 , t h e s y s t e m e x h i b i t s ( a) l a rg e ove rs h o o t ( b )m a l l ove r s h o o t ( c ) n o ove r s h o o t ( d ) l a rg e u n de rs h o o t C 1 1. T h e ty p e - 2 s y s t e m h a s ( a) n e t p ol e at t h e or i g i n ( b ) n o n e t p ol e at tor i g i n ( c ) s i m p l e p o l e a t t h e o r i gi n ( d ) two p ol e s a t t h e o r i gi n D 1 2. Fo r t h e s e c o n d o rd e r d i ff e r e nt i al e q u at i o n i f th e d am p i n g r a t io n i st h e n ( a) T h e p o l e s a r e i m a gi n a r y a nd c o m p l e x c o n j u ga t e ( b ) T h e p o la r e e q u a l , n e g a ti ve a n d r e a l ( c ) T h e p o l e s a r e i n th e r i ght o f t h e S p l a nd ) b o t h p o l e s ar e n e ga t i ve an d re al B 1 3. T h e p o s i t i on a n d ve l o c i ty e r r or s of a ty p e 2 s y s t e m ar e ( a) Z e ro , c ona nt ( b ) c o n s t ant , i n fi n i ty ( c ) Z e ro , z e r o ( d ) c o n s t ant , c on s t a nt C1 4. Ve l o c i ty e rr o r c o n s t a nt o f a s ys te m i s m e as ur e w h e n th e i n p u t t o t h ey s t e m i s ( a) u n i t p a r ab o l i c f u n c t i on ( b ) U n i t s t e p f u n c t i on ( c ) u n i t ip u l s e f u n c t i o n ( d ) u n i t r a mp f u n c t i o n D1 5. w h i ch of f ol l ow i n g s e q u e n c e s i s c o rr e c t f o r a t h re e t e r m c ont r ol l e r( a) P I D as we l l a s P I D c o nt ro l l e r ( b ) P D I c ont r ol l e r ( c ) I D P c ont r ol l e r ( d)I P D c ont r ol l e r A 1 6. a n e l e c tr o m e ch an i c al c l os e d l o op c o nt r o l s y s t e m as t he f o l l ow i n g ca r ac t e r i s t i c e q u a t i o n s ( 3 )+ 6 K s ( 2) + (K +2) s + 8= 0 w h e r e K i s t h e f or warga i n o f t h e s y s t e m . T h e c o n d it i o n f o r c l o s e d l o op s ta b i l i ty i s ( a) K = 0 (K = 5 ( c ) K = 0. 5 2 8 ( d ) K = - 2 .52 8 C 1 7. G i ve n , G ( s ) = K /s (1 + s T ) . t h i s s ys te m i s op e ra t e d i n a c l os e d - l o o p w iu n i ty f e e d b ack . T h e c l o s e d - l o o p s y s t e m i s ( a) u n s t a b l e ( b ) m a rg i n aly s t ab l e ( c ) c o n d i t i on a l l y s t ab l e ( d ) s t ableD 1 8. t h e r o o t l o c i o f s y s t e m h as f o u r s e p a r at e l o c i . T h e s y s t e m c a n h avea) f o u r p o l e s an d f ou r z e r os ( b ) two p ol e s a n d two z e r os ( c ) f o u r p o l e s oo u r z e ro s ( d ) fi ve p o l e s an d f ou r z e r os C 1 9. T h e as ym p t o te s a n d t h e b re ak p o i nt c o i n c i d e at s = - 2 . t r an s f e r f u n co n c a n b e ( a) K / ( s +2 ) 3 ( b ) K ( s + 2) / ( s +1 ) ( s +3 ) ( c ) K / ( s +1 ) ( s +2 ) ( d ) K /+1 ) ( s +2 ) ( s =3 ) A 2 0. A d d i n g o f p o l e s i n t h e t r a n s f e r f u n c ti o n c au s e s ( a) l e a d - c o m p e n a t i on ( b ) l e a d - l a g c om p e n s a ti o n ( c ) l a g c o m p e n s a t i on ( d ) n o c o m p n s a t i on A /*1.C,2.D,3.B,4.A,5.B,6.A,7.B,8.C,9.C,10.C,11.D,12.B,13.C,14.D,15.A,16.C,17.D,18. C,19.A,20.A*/

1 . A c l os e d l o op s y s t e m i s d i s t i n gu i s h e d f r o m o p e n l o o p s y s t e m by w h i ch o f t h ef o l l ow i n g ( a) S e r vom e ch a n i s m ( b ) Fe e d b ack ( c ) I n p u t p a t te rn ( d ) O u tp u t p a t te r n b 2 . s a t u ra t i on i n a s t a b l e c o nt ro l s ys te m c a n c a u s e ( a) h i g h l e ve l o s c i l l a t i on ( b )ove r d a mp i n g ( c ) c o n d i t io n a l s t a b i l i ty ( d ) l ow l e ve l o s c i l l a t i onC 3 . R e ge n e r at i ve f e e d b ack i m p l i e s f e e d b ack w i th ( a) p o s i t i ve s i g n ( b ) s t e p i n pu t ( c ) n e g at i ve s ig n ( d ) o s c i l l a ti o n s A 4 . I n th e f o l l ow i n g , i n d i c a t e t h e l i n e ar s y s t e m s ( i ) d 2y ( t) / d t 2 + a 1 d y( t ) /d t + a 2y ( t) = u ( t ) ( i i ) y d y( t ) /d t + a 1 y ( t) = a2 u ( t ) ( i i i ) 2 d y /d t + t d y / d t + t 2y ( t ) = 5 ( a) ( I I )an d (I I I ) ( b ) ( I ) o n l y ( c ) (I)and(III)(d)(I)and(II)C 5 . I n f or c e c u r r e nt A n al o g y, i n d i c a t e t h e tr u e s t at e m e nt ( a) f o r c e i s a n al o go u st o vol t a ge ( b ) v i s c o u s f ri c ti o n c o e ffi e nt i s a n al o go u s to r e c i p ro c a l o f r e s i s t an c e ( c ) p r i n g c on s ta nt i s an a l og o u s t o r e c i p r o c al of c a p ac i t a n c e ( d ) m a s s i s a n al ogo u s to i n d u c t a n c e B 6 . T h e s t at o r o f a s y n ch r os i s m ad e of ( a) p u r e s te e l ( b ) l a m i n at e d s i l i c on s t e e l( c ) s t a i n l e s ssteel(d)c astironC 7 . T h e tr a n s f e r f u nc ti o n o f a s i m p l e R - C n e twor k f u n c t i o n i n g as a c ont ro l l e r i s G (s ) = ( s +Z 1) / ( s +P 1) . T h e c on d i t i o n f o r R - C n e two r k t o ac t as a p h as e l e a d c o nt r o l l er i s ( a) P 1 = 0 ( b ) P 1 < Z 1(c)P1=Z1(d)P1>Z1D 8 . T wo b l o ck s h avi n g r e s p e c t i ve f u n c t i o n s a s G 1 an d G 2 a re c o n n e c t e d i n s e r i e sc a s c a d e . T h e i r re s u l ta nt w i l l b e ( a) G 1 + G 2 ( b ) G 1 G 2 ( c ) G 1 /G 2 ( d ) G 2 /G 1B 9 . A s ys te m va r i ab l e t h at e qu a l s th e s u m of al l th e i n c o m i n g s i gn a l s i s d e fi n e d a s (a) i n p u t n o d e ( b ) n o d e ( c ) b r an ch ( d ) o u tp u t no d eB 1 0. T h e ch ar a c t e r i s t i c e q u a t i on o f th e s e c on d or d e r s ys te m i s g i ve n by s 2+ 2 ¸c w 0s +w 0 2= 0 . I f ¸c =1 , t h e s y s t e m e x h i b i t s ( a) l a rg e ove rs h o o t ( b ) l a rg e u n de rs h o o t( c ) s m a l l o ve r s h o o t ( d ) n o ove r s h o ot D 1 1. T h e ty p e - 1 s y s t e m h a s a fi n i te n o n z e r o va l u e of ( a) e i t h e r o f t h e s e ( b ) K v ( c) K p ( d ) K a B 1 2. b a n d w i d t h i s u s e d as a m e a n s o f s p e c i f y i n g p e r f o r m an c e o f a c o nt ro l s ys tem r e l at e d t o ( a) T h e va r i ab l e ga i n ( b ) t h e s p e e d of re s p o n s e ( c ) t h e c on s t a nt ga in ( d ) r e l a ti ve s t ab i l i ty of s y s t e m B 1 3. I n c l os e d - l o o p s y s t e m i n w h i ch t h e ou t p u t i s t h e s p e e d o f a r o t or , t h e o u t put ra t e c ont r ol c an b e u s e d t o ( a) l i m i t t h e s p e e d of m ot o r ( b ) l i m i t t h e a c c e l e r at io n o f t h e s ys te m ( c ) l i m i t t h e t o r qu e o u tp u t o f m ot o r ( d ) r e d u c e t he d a m p i n g ofth e s y s t e m B 1 4. I n a c ont r ol s y s t e m i nt e g ra l e rr o r c o m p e n s a t i on s t e a d y s t a te e r r or ( a) d o e sn o t h ave any e ff e c t o n ( b ) d e c r e a s e s ( c ) i n c r e a s e s ( d ) n o th i n g c a n t e l l B 1 5. I n a f or c e b a l an c e ty p e p n e u m a ti c c o ntr o l l e r , t h e nu mb e r of b e l l ow s re qu i r ed f o r P D - a c t i on ( a) 4 ( b ) 2 ( c ) 1 ( d ) 3 D 1 6. t h e ch ar a c t e r i s t i c e qu a t i on o f a s y s t e m h as r o ot s w i t h n e ga t i ve r e a l p a r ts i fa n d o n l y if e l e m e nts o f t h e fi r s t c o l u m n o f t h e Ro u t hs t ab l e h ave ( a) A l t e r n at e pos i t ive an d n e ga t i ve s i g n ( b ) S a m e s i g n . ( c ) p o s i t i ve s i g n . ( d ) n e g at i ve s i gn .B 1 7. A s te p f u n c t i o n i s ap p l i e d t o th e i n p u t o f s y s t e m an d ou t p u t i s of t h e f or m y =t, t h e s y s t e m i s ( a) u n s t a b l e ( b ) s t a b l e ( c ) n o t n e c e s s ar i l y s ta b l e ( d ) c o n d i t ion a l l y s t ab l e A 1 8. i n th e t r an s f e r f u n c t i on of a s y s t e m , t h e r e i s z e r o i n t h e m i rr o r i m a ge p o s i t io n f o r e ve r y p o le i n t h e l e f t h a l f p l an e . s u ch a s y s t e m i s c a l l e d ( a) a l l - s t o p s y s t e m ( b ) n o n - m i n i mu m p h a s e s ys te m ( c ) m i n i mu m p h a s e s ys te m ( d ) a l l - p a s s s ys te m D 1 9. T h e b r e ak away p oi nt s o f th e r o o t l o c u s o c c u r a t ( a) r e a l a xi s ( b ) ( +) ve i m ag i n ar y a x i s ( c ) ( - ) ve i m a gi n a r y ax i s ( d ) mu l t i p l e r o ot s of ch ar a c t e r i s t i c e q u a t i on D 2 0. A d d i n g a z e r o f a r away f r o m or i g i n i n th e T . F h a s i m p ac t on ( a) s t e a d y s t a te r e s p o n s e ( b ) i m p u l s e r e s p o n s e ( c ) t r an s i e nt re s p on s e ( d ) n o e ff e c t on r e s p o n s eA b,c,a,c,b,c,d,b,b,d,b,b,b,b,d,b,a,d,d,a

p u t i s kn ow n a s ( a) c l o s e d l o o p s y s te m ( b ) o p e n l o o p s y s t e m ( c ) s e m i c l os e d l o op s y s t e m ( d ) S e m i op e n l o op s y s t e m A 2 . T h e op e n l o op t ra n s f e r f u n c t i on of a u n i ty f e e d b a ck s y s t e m i s G ( s ) = K S ( 1 + S T ) t h e ch a r ac t e r i s t i c e q u at i o n o f t h e c l os e d l o o p s y s t e m i s ( a) s 2 + s T = 0 ( b ) S + K = 0 ( c ) s 2 + k= 0 ( d ) s 2 + s T + K D 3 . I n a c ont r ol s y s t e m n o i s e c an b e avoi d e d by w h i ch o f t h e f ol l ow i n g m e t h o d s ? ( a) R e d u c i n g t h e b a n d w i d t h ( b ) a tt e nu a ti n g t h o s e f r e q u e n c i e s at w h i ch e x t e r n al s i gn a l s ge t c ou p l e d i nto t h e s y s t e m ( c ) o s c i l l a ti o n s ( d ) At te nu a t i n g t ho s e f r e q u e n c i e s a t w h i ch e xt e r n a l s i g n a ls g e t c o u p l e d i nt o t h e s ys te m a n d R e d u c i n gthebandwidthD 4 . s p r i n g f or c e i s a n on - l i n e ar f u n c t i o n o f t h e d i s p l a c e m e nt x m e a s u r e d f r om t h e r e s t p o s i t i on . T h e e qu a t i on o f m ot i o n o f m a s s M i s ( a) M d 2 x /d t 2 + f s ( x ) = 0 ( b ) M d 2 x /d t 2 + d x /d t = 0 ( c ) M d x/ d t + f s (x ) = 0 ( d ) d x d t + x = 0 A 5 . T h e p o l e s o f F ( s ) = 1/ ( 1 - e 5) ar e l o c a t e d a t ( a) n o p o l e s ( b ) s = 1 on l y ( c ) s = 0 an d 1 ( d ) s = +- j 2n p i ( n = 0 , 1 , 2 . . . . . . . . ) B 6 . T h e ou t p u t o f a s yn ch r o e r r or d e t e c t or i s a ( a) s u p p r e s s e d c a r r i e r m o d u l at i o n s i g n al ( b ) vol t a ge s i g na l o f th e r e c i e ve r ( c ) a n gu l a r d i s p l a c e m e nt o f c ont ro l t r a n s f o m e r r ot o r ( d ) vol t a ge s i g na l o f c on s ta nt a m pl i t u d e B 7 . A n e two r k h as a p o l e a t s = - 1 a n d a z e r o a t s = - 2. if t h i s n e two r k i s e xc i te d by s i nu s o i d al i n p ut , th e o u tp u t ( a) i s i n p h a s e w i th i n p u t ( b ) l a gs t h e i n p u t ( c ) d e c ay s e x p o n e nt i al l y t o z e ro ( d ) l e a d s t h e i n p u t C 8 . T wo b l o ck s h avi n g r e s p e c t i ve f u n c t i o n s a s G 1 an d G 2 a re c o n n e c t e d i n s e r i e s c a s c a d e . T h e i r re s u l ta nt w i l l b e ( a) G 2 /G 1 ( b ) G 1 G 2 ( c ) G 1 + G 2 ( d ) G 1 /G 2 C 9 . A p a t h f r o m i n p u t n o d e to o u t p u t n o d e i s c a l l e d ( a) s e l f p a th ( b ) o u tp u t p at h ( c ) f o r war d p a t h ( d ) f e e d b a ck p at h D 1 0. T h e ch ar a c t e r i s t i c e q u a t i on of th e s e c on d or d e r s ys te m i s g i ve n by s 2 + 2¸c w 0s + w 0 2 = 0 . I f ¸c = 1 , t h e p ol e s o f t h e tr a n s f e r f u n c t i on w i l l b e ( a) i m a gi n a r y an d e q u al ( b ) e q u a l t o - 1 ( c ) r e a l a n d e q u al ( d ) c o m l e x c o n j u g at e D 1 1. T h e ch ar a c t e r i s t i c e q u a t i on of th e s e c on d or d e r s ys te m i s g i ve n by s 2 + 2¸c w 0s + w 0 2 = 0 . ¸c < 1 , t h e t h e p ol e s a r e ( a) i m a gi n a r y an d e q u al ( b ) r e a l a n d e q u al ( c ) r e a l a n d e q u al ( d ) c o m p l e x c o n j u g at e s C 1 2. Fo r u n d e r d a m p e d s e c o n d o rd e r s y s t e m , t h e p ol e s a r e ( a) n e g at i ve a n d r e a l ( b ) i m a gi n a r y an d c om p l e x ( c ) p o s i t i ve a n d r e al ( d ) c o m p l e x c o n j u g at e w i t h n e g at i ve r e a l p a rt s D 1 3. T h e ou t p u t y ( t ) of t h e s ys te m w h e n i n p u t x (t ) =d e l (t ) a n d a l l i n i t i a l c o n d i t i on s ar e z e r o i s d e fi n e d by ( a) u n i t s t e p r e s p o n s e ( b ) u n i t p a r ab o l i c ( c ) u n i t i m pulseresponse(d)unitrampresponseC 1 4. T h e ve l o c ity e r r o r c o e ffi e c i e nt f or a u n i ty f e e d b a ck s y s t e m i s d e fi n e d as ( a) L i m G (s )/ s s 0 ( b ) L i m G (s ) s 0 ( c ) L i m S 2 G ( s ) s 0 ( d ) L i m S * G ( s ) s 0 B 1 5. T h e t ra n s f e r f u n c t i on of a r at e c ont r ol l e r i s o f th e ty p e ( a) K c ( b ) 1 /T s ( c ) T s( d ) 1 /T s +1 A 1 6. t h e t r a n s f e r f u n c ti o n o f a u n ity f e e d b ack s y s t e m i s G ( s ) = K / s ( s + s ) ( s +5 ) . th e r an g e of K f or s ta b l e o p e r a t i on i s ( a) K = 0 ( b ) 0 < K < 3 0 ( c ) K = 10 ( d) K > 4 0 A 1 7. A s ys te m w h i ch h as s o m e r o ot s w i t h r e a l p a rt s e q u al to z e r o, b ut n on e w i t h p o si t i ve r e a l p a rt s , i s ( a) M a r gi n a l l y s t a b l e ( b ) R e l at i ve l y s t a b l e ( c ) A b s o l u t e l yu n s t a b l e ( d ) A b s o l u t elystableB 1 8. t h e t r a n s p o rt a ti o n d e l ay o c c u r i n g i n d i s tr i b u t e d s ys t e m s a r e d e t e r m e nt al t o s t ab i l i ty b e c au s e t h e y p r o d u c e ( a) t r an s i e nt s ( b ) a p h a s e l o g ( c ) a tt e nu a t ion ( d ) b o t h a tt e nu a ti o n a n d p h a s e l og B 1 9. T h e as ym p t o te s a n d t h e b re ak p o i nt c o i n c i d e at s = - 2 . t r an s f e r f u n c ti o n c a n be ( a) K / ( s +1 ) ( s +2 ) ( b ) K / ( s +2 ) 3 ( c ) K / ( s +1 ) ( s +2 ) ( s =3 ) ( d ) K ( s + 2) / ( s +1 ) ( s +3 ) B 2 0. A d d i n g o f p o l e s i n t h e t r a n s f e r f u n c ti o n c au s e s ( a) l a g c o m p e n s a t i on ( b ) le a d - l a g c om p e n s a ti o n ( c ) l e a d - c o m p e n s a t i on ( d ) n o c o m p e n s a t i onC 1.A2.D3.D4.A5.B6.B7.C8.C9.D10.D11.C12.D13.C14.B15.A16.A17.B18.B19.B20.C

r ol s y s t e m ( c ) S e r vom e ch a n i s m ( d ) A u t om a t i c r e g u l at i n g s y s t e m 1C 2 . I n a f e e d b ack a m p l i fi e r , t h e b a n d w i d t h ( a) R e m ai n s u n e ff e c te d ( b ) D e c r e a s e by t h e s a m e a m ou nt a s t h e ga i n i n c re as e ( c ) D e c r e a s e by t h e s a m e a m ou nt a s t h e ga i n d e c r e as e ( d ) i n c r e a s e s by th e s a m e a m o u nt as t he g ai n d e c r e a s e D 3 . I n a n e ga t i ve f e e d b ack s y s t e m w i t h l o o p g ai n T , t h e n oi s e ( N ) a s i n p u t t o t h e a m p l i fi e r l e a d s to ( S =S i g n a l ) ( a) d e c r e a s e i n S / N r at i o by ( 1 +T ) ( b ) N o e ff e c t o n S /N r at i o ( c ) d e c r e a s e i n S / N r at i o by ( 1 - T ) ( d ) i n c r e a s e i n S /N r at i o by ( 1- T )A 4 . T h e l i n e ar e q u at i o n d e s c ri b i n g t h e m ot i o n of p e n d u l u m f o r s m al l va l u e s of d i s p l a c e m e nt ( t h e t a) i s g i ve n by ( a) d 2 / d t 2 + ( g/ l ) s i n = 0 ( b ) d 2 / d t 2+ ( g/ l ) = 0( c ) d 2 / d t 2 + ( l /g ) = 0 ( d ) d 2 / d t 2 + ( l /g ) s i n = 0 B 5 . T h e p o l e s o f F ( s ) = 1/ ( 1 - e 5) ar e l o c a t e d a t ( a) s = +- j 2n p i ( n = 0 , 1 , 2 . . . . . . . . ) ( b )s = 1 on l y ( c ) s = 0 an d 1 ( d ) n o p o l e s A 6 . T h e ou t p u t o f a s yn ch r o e r r or d e t e c t or i s a ( a) vol t a ge s i g na l o f th e r e c i e ve r ( b) s u p p r e s s e d c a r r i e r m o d u l at i o n s i g n al ( c ) a n gu l a r d i s p l a c e m e nt o f c ont ro l tr a n s f o m e r r ot o r ( d ) vol t a ge s i g na l o f c on s ta nt a m pl i t u d e B 7 . A n e two r k h as a p o l e a t s = - 1 a n d a z e r o a t s = - 2. i f t h i s n e two r k i s e xc it e d by s i nus o i d al i n p ut , th e o u tp u t ( a) l e a d s t h e i n p u t ( b ) i s i n p h a s e w i th i n p u t ( c ) l a gs th e i n p u t ( d ) d e c ay s e x p o n e nt i al l y t o z e ro C 8 . T wo b l o ck s h avi n g r e s p e c t i ve f u n c t i o n s a s G 1 ab d G 2 a r e c o n n e c t e d i n p a ra l le l . T h e i r r e s u l t ant w i l l b e ( a) G 1 +G 2 ( b ) G 1 G 2 ( c ) G 1 o r G 2 w h i ch e ve r i s h i g h e r( d ) G 1 o r G 2 w h i ch e ve r i s l owe r A 9 . T h e p r o d u c t of t h e b r a n ch ga i n s of t h e l o o p i s ( a) l o op ga i n ( b ) f e e d b a ck p at hg a i n ( c ) Fo r war d p at h g ai n ( d ) p a th ga i n A 1 0. T h e ch ar a c t e r i s t i c e q u a t i on o f th e s e c on d or d e r s ys te m i s g i ve n by s 2+ 2¸c w 0 s+w 0 2 = 0 . T h e t e r m ¸c i s c a l l e d ( a) s t a b i l i ty f ac t o r ( b ) p o l e f ac t o r ( c ) f r e q u e n cy f ac t o r ( d ) d a m p i n g f ac t o r D 1 1. T h e ty p e - 2 s y s t e m h a s ( a) n e t p ol e at t h e or i g i n ( b ) two p ol e s a t t h e o r i gi n ( c) n o n e t p o l e at t h e or i g i n ( d ) s i m p l e p o l e a t t h e o r i gi n B 1 2. A s e c o n d o r d e r s y s t e m w i t h n o z e r os h a s i t s p o l e s l o c at e d at - 3+ j 4 a n d - 3- j 4 in th e s - p l an e t h e un d a m p e d n at u r a l f r e q u e n c y a n d t h e d am p i n g f a c t o r of t h e sys te m ar e r e s p e c ti ve l y ( a) 5 ra d / s e c an d 0 . 6 0 ( b ) 4 ra d / s e c a nd 0. 7 5 ( c ) 5 ra d / s ec an d 0 . 8 0 ( d ) 3 ra d / s e c a nd 0. 6 0A 1 3. w h i ch i n p ut yi e l d s n a t u ra l r e s p on s e ? ( a) r am p i n p u t ( b ) s t e p i n p u t ( c ) i m p u l s e i n p u t ( d ) s i nu s o i d al i n p u t C 1 4. E r r or c on s ta nt of t h e s ys te m a re a m e a s u r e o f ( a) t r an s i e nt s t at e r e s p on s e ( b) s t e a d y s t a te r e s p o n s e ( c ) r e l a ti ve s t ab i l i ty ( d ) s t e a d y s t a te a s we l l tr a n s i ent r e s p on s e B 1 5. T h e t ra n s f e r f u n c t i on of a n i nte gr a l c o nt r o l l e r i s of t h e ty p e ( a) 1 /T s ( b ) K c ( c) 1 /T s +1 ( d ) TsA 1 6. I n th i s s - p l an e , t h e u n s t a b l e r e g i on i s ( a) s e c on d an d f ou r t h q u a d ra nts i n c l ud i n g r e a l a xi s e x c e p t th e r e g i on . ( b ) s e c on d an d t h i r d q u a d r ant s i n c l u d i n g i m ag i n ar y a xi s . ( c ) fi r s t a n d s e c on d qu a d r ant s i n c l u d i n g re al ax i s . ( d ) fi r s t a n d f o u rth q u ad r a nt s i n c l u d i n g i m ag i n a ry a x i s e xc e p t t h e r e g i on . D 1 7. G i ve n , G ( s ) =1 /s (1 +6 s ) t h e s y s t e m i s ( a) s t a b l e ( b ) u n c o n d i ti o n a l l y s t ab l e( c ) u n s t a b l e ( d ) m a rg i n a l ly s t ab l e D 1 8. w h i ch of th e f o l l ow i n g s ta t e m e nt s i s n ot tr u e f o r ro o t l o c u s te ch n i qu e ( a) i t i su s e d to o b t ai n c l os e d - l o o p p o l e c o n fi g u ra t i on f r om op e n - l o op p ol e s a n d z e ro s (b ) i t p r ov i d e s t h e p a t te rn of m ove m e nt o f c l os e d- l o op p ol e s w h e n op e n - l o o p g ain var i e s ( c ) i t i s m os t u s e f u l f or s i n gl e - i n p u t a n d s i n g l e - o u t p u t s y s t e m ( d ) c an t t e l l f r o m t h e op t i o ns g i ve n D 1 9. I n ro o t l o c u s p l o t d i ff e r e nt r o ot s h ave t h e s am e ( a) g ai n ( b ) g ai n m ar gi n an d p h as e m a rg i n ( c ) p h a s e a n g l e ( d ) p h a s e B 2 0. A d d i n g o f p o l e s i n t h e t r a n s f e r f u n c ti o n c au s e s t o ( a) n o o s c i l l a to r y ( b ) ove r s h o o t ( c ) i n c r e a s e th e s t ab i l i ty ( d ) D r i ve t h e s y s t e m towar d s i n s t ab i l i ty D KEY: 1C2D3A4B5A6B7C8A9A10D11B12A13C14B15A16D17D18D19B20D

ow n a s ( a) S e m i op e n l o op s y s t e m ( b ) o p e n l o o p s y s t e m ( c ) c l o s e d l o op s y s te m ( d ) s e m i c l os e d l o op s y s t e m C 2 . I n a f e e d b ack a m p l i fi e r , t h e b a n d w i d t h ( a) i n c r e a s e s by th e s a m e a m o u nt asth e g ai n d e c r e a s e ( b ) R e m ai n s u n e ff e c te d ( c ) D e c r e a s e by t h e s a m e a m ou nt a st h e ga i n i n c re as e ( d ) D e c r e a s e by t h e s a m e a m ou nt a s t h e ga i n d e c r e as e A 3 . I n a n e ga t i ve f e e d b ack s y s t e m w i t h l o o p g ai n T , t h e n oi s e ( N ) a s i n p u t t o t h e am p l i fi e r l e a d s to ( S =S i g n a l ) ( a) d e c r e a s e i n S / N r at i o by ( 1 +T ) ( b ) d e c r e a s e i n S/ N r at i o by ( 1 - T ) ( c ) N o e ff e c t o n S /N r at i o ( d ) i n c r e a s e i n S /N r at i o by ( 1 - T )A 4 . I n th e f o l l ow i n g , p i ck o u t t h e n o n l i n e ar s ys te m s ( i ) d 3 y( t ) /d t 3 + t 3 d 2 y ( t) / d t2 + t d y ( t )/ d t + y 2 = 2 0 s i n w T ( i i ) d 2 y ( t) / d t 2 + ( 1/ t ) d y /d t + y = 4 ( i i i ) d 2 y ( t) / d t 2] + d y / d t + y (t ) = 5 ( a) ( I I ) an d (I I I ) ( b ) ( I ) a n d ( I I ) ( c ) I I o n l y ( d ) ( I ) a n d ( I I I ) D 5 . T h e p o l e s o f F ( s ) = 1/ ( 1 - e 5) ar e l o c a t e d a t ( a) s = 1 on l y ( b ) n o p o l e s ( c ) s = + - j2n p i ( n = 0 , 1 , 2 . . . . . . . . ) ( d ) s = 0 an d 1 C 6 . T h e ou t p u t o f a s yn ch r o e r r or d e t e c t or i s a ( a) vol t a ge s i g na l o f th e r e c i e ve r ( b) s u p p r e s s e d c a r r i e r m o d u l at i o n s i g n al ( c ) vol t a ge s i g na l o f c on s ta nt a m pl i t ud e ( d ) a n gu l a r d i s p l a c e m e nt o f c ont ro l t r a n s f o m e r r ot o r B 7 . T h e t ra n s f e r f u n c t i on i s ( 1 +0 . 5 s ) /( 1+ s ) . I t re p re s e nt s a ( a) l a g - l e ad n e two r k (b ) p r op or t i on a l c o nt ro l l e r ( c ) l e a d n e twor k ( d ) l a g n e two r k D 8 . T wo b l o ck s h avi n g r e s p e c t i ve f u n c t i o n s a s G 1 ab d G 2 a r e c o n n e c t e d i n p a ra l le l . T h e i r r e s u l t ant w i l l b e ( a) G 1 +G 2 ( b ) G 1 G 2 ( c ) G 1 o r G 2 w h i ch e ve r i s h i g h e r( d ) G 1 o r G 2 w h i ch e ve r i s l owe r A 9 . A s i gn a l tr ave l s a l on g a b r an ch f r om o n e n o d e t o a n ot h e r i n t h e d i r e c t i on i n d ic a te d by th e b r a nch a rr ow a n d th e s i g n al ge ts mu l t ip l i e d by t h e ( a) Fo r war d p at h g ain ( b ) Tra n s m i t t an c e ( c ) f e e d b a ck p at h g a i n ( d ) S e l f ga i n B 1 0. T h e ch ar a c t e r i s t i c e q u a t i on o f th e s e c on d or d e r s ys te m i s g i ve n by s 2 + 2¸c w0 s +w 0 2 = 0 . T h e t e r m ¸c i s c a l l e d ( a) d a m p i n g f ac t o r ( b ) f r e q u e n c y f ac t o r ( c )p o l e f ac t o r ( d ) s t a b i l i ty f ac t o r A 1 1. T h e ty p e - 1 s y s t e m h a s a fi n i te n o n z e r o va l u e of ( a) e i t h e r o f t h e s e ( b ) K v ( c) K p ( d ) K a B 1 2. A s e c o n d o r d e r s y s t e m w i t h n o z e r os h a s i t s p o l e s l o c at e d at - 3+ j 4 a n d - 3- j 4i n th e s - p l an e t h e un d a m p e d n at u r a l f r e q u e n c y a n d t h e d am p i n g f a c t o r of t h e sys te m ar e r e s p e c ti ve l y ( a) 5 ra d / s e c an d 0 . 6 0 ( b ) 4 ra d / s e c a nd 0. 7 5 ( c ) 3 ra d / s ec and 0.6 0 ( d ) 5rad /sec and 0.8 0 A 1 3. T h e ty p e 1 s y s t e m h a s a t t h e o r i gi n ( a) i m p l e p ol e ( b ) n e t p ol e ( c ) two p ol e s (d) o n e p o l e D 1 4. T h e ve l o c i ty e r r o r c o e ffi e c i e nt f or a u n i ty f e e d b a ck s y s t e m i s d e fi n e d as ( a) L i m S 2 G ( s ) s 0 ( b ) L i m G ( s ) s 0 ( c ) L i m S * G ( s ) s 0 ( d ) L i m G ( s )/ s s 0 C 1 5. I nt r o d u c ti o n o f i nt e g r al ac t i o n ch a n ge s a s y s t e m ( a) f r o m typ e - 1 t o ty p e - 2 ( b ) f r o m typ e - 0 t o ty p e - 1 ( c ) f r o m typ e - 2 t o ty p e - 1 ( d ) f r o m typ e - 1 t o ty p e - 0 A 1 6. t h e ch a r ac t e r i s t i c e q u at i o n o f a u n i ty f e e d ba ck s y s t e m i s g i ve n by s 3 + s 2 + 4s + 4 =0 ( a) n o t s t ab l e ( b ) t h e s ys te m h a s n o p o l e s i n t h e R H s - p l an e ( c ) t h e s ys te m h a s two p ol e s i n th e R H s - p l an e ( d ) t h e s ys te m i s as y m p t ot i c a l l y s t a b l e B 1 7. A s te p f u n c t i o n i s ap p l i e d t o th e i n p u t o f s y s t e m an d ou t p u t i s of t h e f or m y = t, t h e s y s t e m i s ( a) n o t n e c e s s ar i l y s ta b l e ( b ) u n s t a b l e ( c ) s t a b l e ( d ) c o n d i t i on a l l y s t ab l e B 1 8. T h e r o o t l o c u s p l ot i s s y m m e t r i c a l ab ou t t h e r e al ax i s b e c a u s e ( a) c o m p l e x r o ot s o c c u r i s c on j u ga te p a i rs ( b ) r o ot s ar e re a l ( c ) r o ot s o c c u r s i mu l t an e o u s l y i n l e f t h a n d a n d r i g ht h a n d p l a n e ( d ) a l l r o ot s o c c u r i n p a i r s A 1 9. G ( s ) H ( s ) = K /s (s +1 ) (s +2 ) (s +3 ) t h e r o ot l o c i l y i n g on th e r e al ax i s ar e b e twe e n ( a) s = - 2 a n d s = - 3; s = - 1 an d s = - 2 ( b ) s = - 1 a n d s = - 2 ; s =- 2 a n d s =- 3 ( c ) s = - 1 an d s = 0; s = - 2 a n d s = - 3 ( d ) s = - 1a n d s = 0 ; s = - 1 a n d s =- 2 C 2 0. A d d i n g i n t h e z e r os i n t h e t ra n s f e r f u n c t i on c a u s e s ( a) l a g - c om p e n s at i o n ( b ) l e a d - l a g c om p e n s a ti o n ( c ) n o c o m p e n s a t i on ( d ) l e a d c o m p e n s a t i on A KEY 1. C2. A3. A4. D5. C6. B7. D8. A9. B10. A11. B12. A13. D14. C15. A16. B17. B18. A19. C20. A

n l o o p c o nt r o l s y s t e m ? ( a) l e s s e x p e n s i ve ( b ) I n p u t c om m a n d i s th e s o l e f ac t o r r e s p o n s i b l e f or p rovi d i n g t h e c o nt r ol ac ti o n ( c ) G e n e ra l l y f r e e f r om p r ob l e m s o f n o n - l i n e a r i ti e s ( d ) P r e s e n c e o f n o n - l i n e ar i t i e s c au s e s m a l - f u n c ti o n i n g D 2 . I n a s y s t e m , i f f o rwa r d g ai n i s 7 6 an d on e f o u rt h of th e vol t a ge i s f e e d b ack , th e o u tp u t e rr o r i s ( a) 1 0 p e r c e nt o f t h e e r ro r w i t h o u t f e e d b a ck ( b ) 2 0 p e r c e nt o f t h e e r ro r w i t h o u t f e e d b a ck ( c ) 1 5 p e r c e nt o f t h e e r ro r w i t h o u t f e e d b a ck ( d ) 5 p e r c e nt o f th e e r r or w i th o u t f e e d b ack D 3 . T h e b an d w i d t h of a c o nt r ol s y s t e m c an b e i n c r e a s e d by ( a) p h a s e l e ad c om p e n s at o r ( b ) p h a s e l a g - l e a d c o m p e n s a t or ( c ) p h a s e o s c i l l a t or s ( d ) p h a s e l a g c o m p e n s a t or A 4 . T h e p o s i t i on y of a m ov i n g o b j e c t o f c o n s t a nt ma s s M i s r e l a t e d t o t h e t o t al f or c e f a p p l ie d t o t h e o b j e c t by d i ff e r e n t i al e q u at i o n M d 2 y /d t 2 = f i ts t ra n s f e r f u n c t i o n w i l l b e ( a) F ( s ) = 1 /M s ( b ) F ( s ) = M s ( c ) F ( s ) = 1 /M s 3 ( d ) F ( s ) = 1 /M s 2 D 5 . T h e l ap l a c e tr a n s f o r m o f u n i t s t e p f u n c t i o n a nd r am p f u n c t i on s r e s p e c ti ve l y a r e ( a) 1 /s 3 , 1 / s ( b ) 1 /s , 1/ s 2 ( c ) 1 /s , 1/ s 3 ( d ) 1 /s 2 , 1 / s B 6 . T h e D ra g C u p r o t or i s u s e d i n two - p h as e i n d u c t i o n m ot o r t o p r ov i d e ( a) l ow i n e r t i a ( b ) h i g h t or q u e ( c ) h i g h i n e r t i a ( d ) l ow t or q u e C 7 . A n e two r k h as a p o l e a t s = - 1 a n d a z e r o a t s = - 2. i f t h i s n e two r k i s e xc it e d by s i nu s o i d al i n p ut , th e o u tp u t ( a) d e c ay s e x p o n e nt i al l y t o z e ro ( b ) l e a d s t h e i n p u t ( c ) i s i n p h a s e w i th i n p u t ( d ) l a gs t h e i n p u t D 8 . T wo b l o ck s h avi n g r e s p e c t i ve f u n c t i o n s a s G 1 an d G 2 a re c o n n e c t e d i n s e r i e s c a s c a d e . T h e i r re s u l ta nt w i l l b e ( a) G 1 + G 2 ( b ) G 1 /G 2 ( c ) G 1 G 2 ( d ) G 2 /G 1 C 9 . i s a c ont i nu ou s , u n i d i r e c t i on a l s u c c e s s i on o f b ra n ch e s al o n g w h i ch n o n o d e i s t r ave r s e d m or e th a n o n c e . ( a) n o d e ( b ) p a th ( c ) g ai n ( d ) b r an ch B 1 0. T h e ch ar a c t e r i s t i c e q u a t i on o f th e s e c on d or d e r s ys te m i s g i ve n by s 2 + 2 ¸c w 0 s +w 0 2 = 0 . I f ¸c =1 , t h e s y s t e m e x h i b i t s ( a) l a rg e ove rs h o o t ( b ) s m a l l ove r s h o o t ( c ) l a rg e u n de rs h o o t ( d ) n o ove r s h o ot D 1 1. T h e d am p i n g r a ti o o f ch ar ac te ri s ti c e q u a ti o n s 2 + 2 s +8 = 0 i s ( a) 0 . 4 5 3 ( b ) 0 . 35 3 ( c ) 1 . 41 4 ( d ) 0 . 5 B 1 2. T h e ove r s h o o t of t h e s ys te m 1 6K / s ( s 2 + 2s + 1 6) f or s te p i n p u t a p p l i e d wo u l d b e ( a) 4 0% ( b ) 2 0% ( c ) 1 0% ( d ) 6 0% 1 3. T h e ty p e 2s ys t e m h a s a t t h e o ri g i n ( a) n e t p ol e ( b ) n o p o l e ( c ) two p ol e s ( d ) s i m p l e p o l e A 1 4. I n a c ont r ol s y s t e m i nt e g ra l e rr o r c o m p e n s a t i on s t e a d y s t a te e r r or ( a) d o e s n ot h ave any e ff e c t o n ( b ) i n c r e a s e s ( c ) n o th i n g c a n t e l l ( d ) d e c r e a s e s D 1 5. W h e n d e r i va ti ve a c t i o n i s i n c l u d e d i n p ro p o r ti o n al c o nt r o l l e r , t h e p r o p or t i o n al b a n d ( a) r e m a i n s u n a ff e c t e d ( b ) d e c r e a s e s ( c ) d e p e n d s u p o n d e r i vat i ve t i m e c on s t a nt ( d ) i n c r e a s e s A 1 6. a n e l e c tr o m e ch an i c al c l os e d l o op c o nt r o l s y s t e m as t he f o l l ow i n g ch a r ac t e r i s t i c e q u at i o n s ( 3 )+ 6 K s ( 2) + ( K +2 ) s + 8= 0 w h e r e K i s t h e f or war d ga i n o f t h e s y s t e m . T h e c o n d it i o n f o r c l o s e d l o op s ta b i l i ty i s ( a) K = 0. 5 2 8 ( b ) K = 5 ( c ) K = - 2 . 52 8 ( d)K=0A 1 7. G i ve n , t h e ch a r ac t e r i s t i c e q u at i o n a s F ( S ) = 3 (S ) ( S ) +1 0( S ) ( S ) +5 S +5 S +2 = 0, T h e n t h e nu mb e r of r o o t s t h a t a re on t h e R . H . S o f t h e S - P l an e ar e ( a) 2 ( b ) 4 ( c ) 3 ( d)1A 1 8. T h e t r an s f e r f u n c ti o n of t r an s p or t at i o n l a g i s e x p ( - s t) . I f t h e l ag i s s m al l as c om p a re d w i th t h e ti m e c o n s t a nt of t h e s ys te m , i t c an b e a p p r ox i m at e d by ( a) 1 +s T ( b ) 1 /1 +s T ( c ) 1 - s T ( d ) s T C 1 9. A f e e d b a ck s y s t e m h as i t s ch a r ac t e r i s t i c e q u at i o n a s 1 + K s ( s + 1 ) ( s + 2 ) = 0 T h e n , t h e a n g l e o f t h e as ym p t o te s w i t h th e r e al ax i s i s ( a) 6 0 0 , 1 80 0 , 3 0 0 0 ( b ) 4 5 0,900,1800,2000(c)600,750,900(d)450,600A 2 0. A d d i n g o f p o l e s i n t h e t r a n s f e r f u n c ti o n c au s e s ( a) l e a d - c o m p e n s a t i on ( b ) l a g c o m p e n s a t i on ( c ) n o c o m p e n s a t i on ( d ) l e a d - l a g c om p e n s a ti o n A KEY1.D2.D3.A4.D5.B6.C7.D8.C9.B10.D11.B12.A13.C14.D15.A16.A17.A18.C19.A20.A

c y ( b ) g o o d s t ab i l i ty ( c ) s u ffi c i e nt p owe r h a n d l i n g c a p ac i ty ( d ) s l ow r e s p on s eD 2 . T h e c l o s e d l o o p tr a n s f e r f u n c t i on o f t h e o p e n l o o p t r a n s f e r f u n c t i on , G ( s )= K / [ s ( 1+ s T ) ] o f a u n i ty f e e db a ck s ys te m i s ( a) k /s (T +s T ) ( b ) k /( s T +s + k ) ( c ) k ( 1+s T ) / s ( d ) K ( 1 + S T ) S 2 B 3 . T h e s e n s i t i v i ty of a c l o s e d - l o o p s y s t e m to g a i n ch a n g e s a nd l oa d d i s tu r b a n ce s d e p e n d s u p o n ( a) l o op ga i n ( b ) f o r war d g ai n , l o op ga i n a n d f r e q u e n c y ( c ) f or war d g ai n ( d ) f r e q u e n cyB 4 . I n th e f o l l ow i n g , i n d i c a t e t h e l i n e ar s y s t e m s ( i ) d 2 y ( t) / d t 2 + a 1 d y( t ) /d t + a2 y ( t) = u ( t ) ( ii) y d y( t ) /d t + a 1 y ( t) = a2 u ( t ) ( iii) 2 d y /d t + t d y / d t + t 2y ( t ) = 5 ( a) ( I ) o nl y ( b ) ( I I ) an d (I I I ) ( c ) ( I )and(II)(d )(I)and(III)D 5 . I n f or c e c u r r e nt A n al o g y, m a s s i s a n al o g ou s to ( a) c a p ac i ta n c e ( b ) c u r r e nt (c ) r e s i s t a n c e ( d ) vol t a ge A 6 . W h i ch o f th e f o l l ow i n g i s d i s a d va nt a ge of a d c s e r vo m o t or ? ( a) I t d r aw s l a r ge cu r r e nts ( b ) I t s s p e e d r e gu l a t i on i s p o o r ( c ) I t r e q u i r e s h i gh s t ar t i n g t or q u e ( d) I t r e q u i r e s h i gh s t or i n g f o r qu e , d r aw s l ar g e c u rr e nt s an d i t s s p e e d r e g u l at i o ni s p o o r D 7 . A n e two r k h as a p o l e a t s = - 1 a n d a z e r o a t s = - 2. i f t h i s n e two r k i s e xc it e d by s i nus o i d al i n p ut , th e o u tp u t ( a) l a gs t h e i n p u t ( b ) l e a d s t h e i n p u t ( c ) i s i n p h a s e w ith i n p u t ( d ) d e c ay s e x p o n e nt i al l y t o z e ro A 8 . T wo b l o ck s h avi n g r e s p e c t i ve f u n c t i o n s a s G 1 an d G 2 a re c o n n e c t e d i n s e r i e s c a s c a d e . T h e i r re s u l ta nt w i l l b e ( a) G 2 /G 1 ( b ) G 1 G 2 ( c ) G 1 /G 2 ( d ) G 1 + G 2 B 9 . A f e e d b a ck l o op c on s i s ti n g o f on l y o n e b r a n ch i s ( a) o u tp u t l o o p ( b ) i n p u t l oop ( c ) f o r war d l o o p ( d ) s e l f l o op D 1 0. T h e ch ar a c t e r i s t i c e q u a t i on f or t h e s e c o n d o r d e r d i ff e r e nt i a l e q u at i o n o f t h e f or m d 2 y /d t 2 + 2 ¸c w n d y/ d t + w n 2 y = w n 2 x ( a) S 2 + 2 ¸c w n + w n 2 = 0 ( b ) S 2 +2 ¸c w n S + w n 2 = 0 ( c ) S 2 + ¸c w n S + w n 2 = 0 ( d ) S 2 + 2 w n S + w n 2 = 0 B 1 1. T h e ty p e - 0 s y s t e m h a s s t e ad y s t at e e r ro r f o r u n i t s t e p f u n c t i on e q u al t o ( a)1 /K a ( b ) 1 /K p ( c ) 1 /( 1 +K p ) ( d ) 1 /K v C 1 2. I n f e e d b a ck s y s t e m th e t ra n s i e nt r e s p on s e ( a) g e t s m a gn i fi e d ( b ) d e c ay s low l y ( c ) d e c ay m or e q u i ckl y ( d ) d e c ay a t a c on s ta nt r at e C 1 3. T h e p o s i t i on a n d ve l o c i ty e r r or s of a ty p e 2 s y s t e m ar e ( a) c o n s t ant , c on s t a nt( b ) Z e ro , z e r o ( c ) c o n s t ant , i n fi n i ty ( d ) Z e ro , c on s t a nt B 1 4. I n a c ont r ol s y s t e m i nt e g ra l e rr o r c o m p e n s a t i on s t e a d y s t a te e r r or ( a) n o th i n g c a n t e l l ( b ) d o e s n ot h ave any e ff e c t o n ( c ) i n c r e a s e s ( d ) d e c r e a s e s D 1 5. t h e nu mb e r o f op e ra t i on a l a m p l i fi e r r e q u i r e d t o d e s i g n a n e l e c t ri c P I D - c ont r ol l e r i s ( a) 4 ( b ) 1 ( c ) 3 ( d ) 2 B 1 6. i n R - H c r i t e r i on , i f a l l e l e m e nts i n o n e row a r e z e ro , t h e n t h e r e a r e ( a) p a i r of e q u al r o o t s w i th op p o s i t e s i gn . ( b ) p a i r of e q u a l r o ot s w i t h o p p o s i t e s i gn , p a i r o f c on j u g a te r o ot s on i m ag i n a ry ax i s an d c o n j u ga t e r o o ts f o r m i n g a q u ad r a t e i n t h e s - p l a n e ( c ) C o n j u g at e r o o ts f o r m i n g a q u a d r at e i n t h e S - p l an e . ( d ) Pa i r of c o n j u ga t e r o o ts o n i m ag i n a ry ax i s . B 1 7. G i ve n , G ( s ) = ( 1 - s ) /( s ( s + 2) ) . T h e s y s t e m w i t h t h e t r a n s f e r f u n c ti o n i s op e ra t e d i n a C lo s e d - l o op w i th u n i ty f e e d b ack . T h e c l os e d - l o op s y s t e m i s ( a) u n s t a b l e ( b ) m a rg i n a ll y s t ab l e ( c ) s t a b l e ( d ) c o n d i t i on a l l y s t ab l e C 1 8. W h i ch o f th e f o l l ow i n g i s e x h i b i te d by r o ot l o c u s d i ag r am s ( a) t h e p ol e s o f t h e T . F f o r a s e t of p ar a m e t e r va l u e s ( b ) t h e r e s p on s e o f a s y s t e m t o a s t e p i n p u t ( c ) t h e b a n d w i d t h o f t h e s y s t e m ( d ) t h e f re qu e n c y r e s p o n s e of a s ystemA 1 9. G ( s ) H ( s ) = K /s (s +1 ) (s +2 ) (s +3 ) T h e n , t h e a n gl e o f a s y m p t ot e s w i t h r e a l a xi s r e s p e c t i ve l y a r e ( a) 3 4 0 , 4 5 0 ( b ) 4 5 0 , 1 35 0 , 2 25 0 ( c ) 4 5 0 , 1 35 0 , 2 25 0 , 3 1 5 0 ( d ) 4 5 0 , 1 35 0 C 2 0. A d d i n g a z e r o f a r away f r o m or i g i n i n th e T . F h a s i m p ac t on ( a) t r an s i e nt re s p on s e ( b ) n o e ff e c t on r e s p o n s e ( c ) s t e a d y s t a te r e s p o n s e ( d ) i m p u l s e r e s p o n seC key: 1D2B3B4D5A6D7A8B9D10B11C12C13B14D15B16B17C18A19C20C

t e m ? ( a) I n p u t c om m a n d i s th e s o l e f ac t o r r e s p o n s i b l e f or p rovi d i n gt h e c o nt r ol ac ti o n ( b ) l e s s e x p e n s i ve ( c ) G e n e ra l l y f r e e f r om p r ob l e m s o f n o n -l i n e a r i ti e s (d) Presence o f n o n - l i n e ar i t i e s c au s e s m a l - f u n c ti o n i n g D 2 . I n a s y s t e m , i f f o rwa r d g ai n i s 7 6 an d on e f o u rt h of th e vol t a ge i s f e e d b ack , th e o u t p u te rr o r i s ( a) 5 p e r c e nt o f th e e r r or w i th o u t f e e d b ack ( b ) 1 5 p e r c e nt o f t h e e r ro r w i t h ou t f e e d b a ck ( c ) 1 0 p e r c e nt o f t h e e r ro r w i t h o u t f e e d b a ck ( d ) 2 0 p e r c e nt o f t h e e r ror w i t h o u t f e e d b a ck A 3 . R e ge n e r at i ve f e e d b ack i m p l i e s f e e d b ack w i th ( a) p o s i t i ve s i g n ( b ) s t e p i n p u t ( c) o s c i l l a ti o n s ( d ) n e g at i ve s ig n A 4 . T h e d e s c r i b i n g e q u a ti o n o f a m a s s d am p e r s p r i n g s y s t e m is g i ve n by 2 d 2 x /d t 2 +d x /d t + 0 . 5 x = f ( t ) W h e r e f ( t ) i s t h e e xt e r n a l f or c e ac ti n g on t h e s ys te m a n d x i s th e d i sp l a c e m e nt of m a s s . T h e s te ad y s t at e d i s p l ac e m e nt c o r re s p o n d i ng t o a f o r c e of 2 N e wt on s i s gi ve n by ( a) 0 . 25 m ( b ) 4 m ( c ) 0 . 5m ( d ) 2 mB 5 . T h e p o l e s o f F ( s )( s 2 - 1 6 )/ ( s 5 - 7 s 4 - 3 0 s 3 ) a r e l o c a te d a t ( a) s = 4, 4 ( b ) s = 0, 4, 16 (c ) s = 0 (t r i p l e p ol e ) , - 3 a n d 10 ( d ) s = 0 (t r i p l e p ol e ) , - 3 a n d 10 D 6 . W h i ch o f th e f o l l ow i n g d e v i c e c a n b e u s e d to c o nt ro l t h e p o s i t i on o f ve r y s m al l l oad ( a) s y n ch r o ( b ) P M M C m ove m e nt ( c ) D C s e r vo m o to r ( d ) AC s e r vo m o t or A 7 . T h e t ra n s f e r f u n c t i on i s ( 1 +0 . 5 s ) /( 1+ s ) . I t re p re s e nt s a ( a) p r op or t i on a l c o n t ro l l er ( b ) l a g n e two r k ( c ) l e a d n e twor k ( d ) l a g - l e ad n e two r k B 8 . T wo b l o ck s h avi n g r e s p e c t i ve f u n c t i o n s a s G 1 ab d G 2 a r e c o n n e c t e d i n p a ra l l e l . Th e i r r e s u l t ant w i l l b e ( a) G 1 G 2 ( b ) G 1 o r G 2 w h i ch e ve r i s l owe r ( c ) G 1 o r G 2 w h i ch eve r i s h i g h e r ( d ) G 1 +G 2 D 9 . A s ys te m va r i ab l e t h at e qu a l s th e s u m of al l th e i n c o m i n g s i gn a l s i s d e fi n e d a s ( a ) o u tp u t no d e ( b ) i n p u t n o d e ( c ) b r an ch ( d ) n o d e D 1 0. T h e ch ar a c t e r i s t i c e q u a t i on o f th e s e c on d or d e r s ys te m i s g i ve n by s 2 + 2 ¸c w 0 s +w 0 2 = 0 . I f ¸c =1 , t h e s y s t e m i s ( a) a b s ol u t e l y da m p e d ( b ) ove r d a m p e d ( c ) u n d e r d a m p e d ( d ) c r i t i c a l l y d am p e d D 1 1. Fo r t h e f ol l ow i n g d i ff e r e nt i al e q u at i o n 2 d 2 y /d t 2 + 4 d y /d t + 8 y = 8 x, th e d a m p i n g ra t i o i s ( a) 2 ( b ) 0 . 7 ( c ) 1 ( d ) 0 . 5 D 1 2. I n c ont r ol s y s t e m e xc e s s i ve b a n d w i d t h s h o u l d b e avo i d e d b a c au s e ( a) n o i s e i s p r op or t i on a l t o b a n d w i d t h ( b ) i t l e a d s to h i g h s p e e d o f re s p o n s e ( c ) i t l e a d s to s l ow s p e e d of r e s p o n s e ( d ) i t l e a d s to l ow r e l a t i ve s t ab i l i ty A 1 3. T h e ty p e 0 s y s t e m h a s a t t h e o ri g i n ( a) s i m p l e p o l e ( b ) n o p o l e ( c ) two p ol e s ( d ) n e t p ol e B 1 4. E r r or c on s ta nt of t h e s ys te m a re a m e a s u r e o f ( a) s t e a d y s t a te r e s p o n s e ( b ) r e l a ti ve s t ab i l i ty ( c ) s t e a d y s t a te a s we l l tr a n s i e nt r e s p on s e ( d ) t r an s i e nt s t at e r e s p on s eA 1 5. I nt r o d u c ti o n o f i nt e g r al ac t i o n ch a n ge s a s y s t e m ( a) f r o m typ e - 1 t o ty p e - 0 ( b ) f r o m typ e - 0 t o ty p e - 1 ( c ) f r o m typ e - 1 t o ty p e - 2 ( d ) f r o m typ e - 2 t o ty p e - 1 C 1 6. i n R - H c r i t e r i on , i f t h e r e a r e ch a n ge s o f s i n gs i n t h e E l e m e nt s of t h e fi r s t c ol u m n , th e n t h e nu mb e r of s i g n ch a n ge s i n d i c a t e ( a) T h e nu mb e r of p a i r of r o o t s o f s am e s i g n ( b ) T h e nu mb e r of r o ot s w i t h p o s i t i ve r e al p ar t ( c ) t h e nu mb e r o f ro o t s w i t h ne ga t i v e r e al p ar t ( d ) T h e nu mb e r of p a i r of r o o t s o f p os i ti ve s i gn B 1 7. G i ve n , t h e ch a r ac t e r i s t i c e q u at i o n a s F ( S ) = 3 (S ) ( S ) +1 0( S ) ( S ) +5 S +5 S +2 = 0, T h e n t h e nu mb e r of r o o t s t h a t a re on t h e R . H . S o f t h e S - P l an e ar e ( a) 3 ( b ) 4 ( c ) 1 ( d ) 2D 1 8. w h i ch of th e f o l l ow i n g s ta t e m e nt s i s n ot tr u e f o r ro o t l o c u s te ch n i qu e ( a) i t p r ov i d e s t h e p a t te rn of m ove m e nt o f c l os e d - l o op p ol e s w h e n op e n - l o o p g ai n var i e s ( b ) i t i s m os t u s e f u l f or s i n gl e - i n p u t a n d s i n g l e - o u t p u t s y s t e m ( c ) i t i s u s e d to o b t ai n c l os e d - l o o p p o l e c o n fi g u ra t i on f r om op e n - l o op p ol e s a n d z e ro s ( d ) c a n t t e l l f r o m t h e op t i o ns g i ve n D 1 9. T h e as ym p t o te s a n d t h e b re ak p o i nt c o i n c i d e at s = - 2 . t r an s f e r f u n c t i o n c a n b e ( a) K / ( s +1 ) ( s +2 ) ( s =3 ) ( b ) K ( s + 2) / ( s +1 ) ( s +3 ) ( c ) K / ( s +1 ) ( s +2 ) ( d ) K / ( s +2 ) 3 D 2 0. A d d i n g o f p o l e s i n t h e t r a n s f e r f u n c ti o n c au s e s t o ( a) n o o s c i l l a to r y ( b ) ove r s h o o t ( c ) d e g r ad e s t h e r e l a t i ve s t ab i l i ty ( d ) i n c r e a s e th e s t ab i l i ty C KEY:1(D).2(A).3(A).4(B).5(D).6(A).7(B).8(D).9(D).10(D).11(D).12(A).13(B).14(A).15(C).16(B).17(D).18(D).19(D).20(C).

a n d e a s e o f m ai nt e n a n c e ( b ) L e s s e x p e n s i ve ( c ) To m ai nt ai n th e r e q u i re d q u al i ty i n t p u t , r c a l i b e r a ti o n i s n o t r e q ui r e d ( d ) D i s t u r b an c e s c a u s e e r ro r s C 2 . I n a s y s t e m , i f f o rwa r d g ai n i s 7 6 an d on e f o u rt h of th e vol t a ge i s f e e d b ack , th e o u tp u r i s ( a) 5 p e r c e nt o f th e e r r or w i th o u t f e e d b ack ( b ) 2 0 p e r c e nt o f t h e e r ro r w i t h o u t f a ck ( c ) 1 5 p e r c e nt o f t h e e r ro r w i t h o u t f e e d b a ck ( d ) 1 0 p e r c e nt o f t h e e r ro r w i t h o d b a ck A 3 . I n a n e ga t i ve f e e d b ack s y s t e m w i t h l o o p g ai n T , t h e n oi s e ( N ) a s i n p u t t o t h e a m p e a d s to ( S =S i g n a l ) ( a) N o e ff e c t o n S /N r at i o ( b ) i n c r e a s e i n S /N r at i o by ( 1 - T ) ( c ) d e e i n S / N r at i o by ( 1 +T ) ( d ) d e c r e a s e i n S / N r at i o by ( 1 - T ) C 4 . T h e d e s c r i b i n g e q u a ti o n o f a m a s s d am p e r s p r i n g s y s t e m is g i ve n by 2 d 2 x /d t 2 + t + 0 . 5 x = f ( t ) W h e r e f ( t ) i s t h e e xt e r n a l f or c e ac ti n g on t h e s ys te m a n d x i s th e d i s p l a c nt of m a s s . T h e s te ad y s t at e d i s p l ac e m e nt c o r re s p o n d i ng t o a f o r c e of 2 N e w t on s i s gi by ( a) 4 m ( b ) 2 m ( c ) 0 . 25 m ( d ) 0 . 5m A 5 . A r o t at i o n al s y s t e m i s d e s c r i b e d by t h e fi r s t o r d e r d i ff e r e nt i al e q u at i o n 2 d w / d 5 w h e r e th e ri g ht h an d s i d e g i ve s t h e c o n s t ant t or q u e a c t i n g on t h e s ys te m an d w r e nt s t h e a n g u l ar ve l o c i ty. T h e s o l u ti o n f o r w i s g i ve n by ( a) 5 e - t/ 2 ( b ) 5 ( 1 - e t /2 ) ( c ) 5 - t/ 2 ) ( d ) 5 B 6 . W h i ch o f th e f o l l ow i n g i s d i s a d va nt a ge of a d c s e r vo m o t or ? ( a) I t r e q u i r e s h i gh s t g t or q u e ( b ) I t r e q u i r e s h i gh s t or i n g f o r qu e , d r aw s l ar g e c u rr e nt s an d i t s s p e e d r e g o n i s p o o r ( c ) I t d r aw s l a r ge c u r r e nts ( d ) I t s s p e e d r e gu l a t i on i s p o o r 7 . T h e t ra n s f e r f u n c t i on i s ( 1 +0 . 5 s ) /( 1+ s ) . I t re p re s e nt s a ( a) l e a d n e twor k ( b ) p r op on a l c o nt ro l l e r ( c ) l a g - l e ad n e two r k ( d ) l a g n e two r k D 8 . T wo b l o ck s h avi n g r e s p e c t i ve f u n c t i o n s a s G 1 an d G 2 a re c o n n e c t e d i n s e r i e s c a s . T h e i r re s u l ta nt w i l l b e ( a) G 2 /G 1 ( b ) G 1 /G 2 ( c ) G 1 G 2 ( d ) G 1 + G 2 C 9 . T h e p r o d u c t of t h e b r a n ch ga i n s of t h e l o o p i s ( a) f e e d b a ck p at h g a i n ( b ) Fo r war d g ai n ( c ) p a th ga i n ( d ) l o op ga i n D 1 0. N a tu r a l f r e q u e n c y of a u n i ty f e e d b a ck c o nt r ol s y s t e m o f tr a n s f e r f u n c t i on G ( s ) /s ( s + 1 ) i s ( a) 3 . 16 r a d /s e c ( b ) 4 . 16 r a d /s e c ( c ) 0 . 5 ra d / s e c ( d ) 4 . 6 ra d / s e c 1 1. T h e ch ar a c t e r i s t i c e q u a t i on o f th e s e c on d or d e r s ys te m i s g i ve n by s 2 + 2¸c w 0s + w 0 . I f = 0 1 , t h e p o l e s a r e ( a) + o r - j w 0 ( b ) + o r - j ¸c w 0 2 ( c ) + o r - j w 0 2 ( d ) + o r - j ¸c w 0 A 1 2. A u n i ty f e e d b ack s ys te m h a s t r an s f e r f u n c t i o n G ( s ) = 9 S ( s + 3 ) ( a) d a m p i n g r a t i 6 ( b ) d a m p i n g r a t i o= 0. 8 ( c ) n a tu r a l f r e q u e n c y = 9 ( d ) n a tu r a l f r e q u e n c y = 3 D 1 3. T h e ty p e 0 s y s t e m h a s a t t h e o ri g i n ( a) s i m p l e p o l e ( b ) n o p o l e ( c ) two p ol e s ( d p ol e B 1 4. E r r or c on s ta nt of t h e s ys te m a re a m e a s u r e o f ( a) s t e a d y s t a te a s we l l tr a n s i e nt r e s e ( b ) t r an s i e nt s t at e r e s p on s e ( c ) r e l a ti ve s t ab i l i ty ( d ) s t e a d y s t a te r e s p o n s e D 1 5. T h e nu mb e r of o p e r at i o n al am p l i fi e r re qu i r e d to d e s i gn an e l e c t r i c P I D - c o ntr o l l a) 4 ( b ) 1 ( c ) 2 ( d ) 3 B 1 6. A s ys te m h a s s o m e ro o t s w i t h r e a l p a r t s e q u a l t o z e r o , b u t n o n e w i t h p os i ti ve re t i s ( a) a b s ol u t e l y un s ta b l e ( b ) a b s ol u t e l y s t ab l e ( c ) m a rg i n a ll y s t ab l e ( d ) r e l a ti v ta b l e C 1 7. G i ve n , G ( s ) =1 /s (1 +6 s ) t h e s y s t e m i s ( a) u n s t a b l e ( b ) m a rg i n a l ly s t ab l e ( c ) u n c ti o n a l l y s t ab l e ( d ) s t a b l e B 1 8. w h i ch of th e f o l l ow i n g s ta t e m e nt s i s n ot tr u e f o r ro o t l o c u s te ch n i qu e ( a) i t i s m os f u l f or s i n gl e - i n p u t a n d s i n g l e - o u t p u t s y s t e m ( b ) i t p r ov i d e s t h e p a t te rn of m ove m f c l os e d- l o op p ol e s w h e n op e n - l o o p g ai n var i e s ( c ) i t i s u s e d to o b t ai n c l os e d - l o o p p o n fi g u ra t i on f r om op e n - l o op p ol e s a n d z e ro s ( d ) c a n t t e l l f r o m t h e op t i o ns g i ve nD 1 9. T h e t ra n s f e r f u n c t i on i s K /( s + 1) ( s + 2) ( s + 3) t h e n , t h e b r e a k away p o i nt w i l l b e b e ( a) B e yo n d - 3 ( b ) - 1 a n d - 2 ( c ) 0 a n d - 1 ( d ) - 2 a n d - 3 B 2 0. A d d i n g a z e r o ve r y c l o s e t o o r i gi n i n t h e T . F h as i m p ac t on ( a) i m p u l s e r e s p o n s e r an s i e nt re s p on s e ( c ) s t e a d y s t a te r e s p o n s e ( d ) n o e ff e c t on r e s p o n s e B KEY1 C2 A3 C4 A5 B6 B7 D8 C9 D10 A11 A12 D13 B14 D 15 B16 C17 B18 D19 B20 B

ol ( b ) S t r ob o s c o p e ( c ) M e t a d y n e ( d ) F i e l d c ont r ol l e d d . c m o t or D 2 . s a t u ra t i on i n a s t a b l e c o nt ro l s ys te m c a n c a u s e ( a) c o n d i t io n a l s t a b i l i ty ( b ) l ow l e ve l o s c i l l a t i on ( c ) h i g h l e ve l o s c i l l a t i on ( d ) ove r d a mp i n g A 3 . I n a n e ga t i ve f e e d b ack s y s t e m w i t h l o o p g ai n T , t h e n oi s e ( N ) a s i n p u t t o t h e a m p l i fi e r l e a d s to ( S =S i g n a l ) ( a) i n c r e a s e i n S /N r at i o by ( 1 - T ) ( b ) d e c r e a s e i n S / N r at i o by ( 1 - T ) ( c ) d e c r e a s e i n S / N r at i o by ( 1 +T ) ( d ) N o e ff e c t o n S /N r at i o C 4 . T h e d e s c r i b i n g e q u a ti o n o f a m a s s d am p e r s p r i n g s y s t e m is g i ve n by 2 d 2x /d t 2 + d x /d t + 0 . 5 x = f ( t ) W h e r e f ( t ) i s t h e e xt e r n a l f or c e ac ti n g on t h e s ys te m a n d x i s th e d i s p l a c e m e nt of m a s s . T h e s te ad y s t at e d i s p l ac e m e nt c o r re s p o n d i ng t o a f o r c e of 2 N e w t on s i s gi ve n by ( a) 0 . 5m ( b ) 0 . 25 m ( c ) 2 m ( d ) 4 m D 5 . Tra n s f e r f u n c t i on of a s y s t e m i s u s e d t o c al c u l at e ( a) t h e m a i n c o n s t a nt ( b ) t h e s te ad y s ta t e g ai n . ( c ) t h e o u t p u t f o r any g i ve n i n p u t ( d ) t h e o r d e r o f t h e s y s te m C 6 . A s c om p a r e d t o o rd i n a r y m o to r s , s e r vo m o to r s h ave s m a l l m o to r d i a m e t e r b ec au s e i n s e r vo m o t or s ( a) s m a l l s i z e i s m ai n c on s i d e r at i o n ( b ) t or q u e an d i n e rt i a a r e p r op or t i on a l t o s q u a re o f d i a m e t e r ( c ) t or q u e an d i n e rt i a a r e p r op or t i on al t o d i a m e t e r ( d ) t or q u e an d i n e rt i a a r e p r op or t i on a l t o s q u a re o f d i a m e t e r a nd i n e r t i a i s p r o p or t i o n al to d i a m e t e r D 7 . T h e tr a n s f e r f u nc ti o n o f a s i m p l e R - C n e twor k f u n c t i o n i n g as a c ont ro l l e r i s G (s ) = ( s +Z 1) / ( s +P 1) . T h e c on d i t i o n f o r R - C n e two r k t o ac t as a p h as e l e a d c o nt ro l l er i s ( a) P 1 = Z 1 ( b ) P 1 < Z1(c)P1>Z1(d)P1=0C 8 . T wo b l o ck s h avi n g r e s p e c t i ve f u n c t i o n s a s G 1 an d G 2 a re c o n n e c t e d i n s e r i e sc a s c a d e . T h e i r re s u l ta nt w i l l b e ( a) G 1 + G 2 ( b ) G 2 /G 1 ( c ) G 1 G 2 ( d ) G 1 /G 2C 9 . i s a c ont i nu ou s , u n i d i r e c t i on a l s u c c e s s i on o f b ra n ch e s al o n g w h i ch n o n o d e is t r ave r s e d m or e th a n o n c e . ( a) p a th ( b ) n o d e ( c ) b r an ch ( d ) g ai n A 1 0. T h e ch ar a c t e r i s t i c e q u a t i on o f th e s e c on d or d e r s ys te m i s g i ve n by s 2+ 2 ¸c w 0s +w 0 2= 0 . I f ¸c =1 , t h e s y s t e m e x h i b i t s ( a) l a rg e u n de rs h o o t ( b ) l a rg e ove rs h o o t( c ) n o ove r s h o ot ( d ) s m a l l ove r s h o o t C 1 1. T h e ch ar a c t e r i s t i c e q u a t i on o f th e s e c on d or d e r s ys te m i s g i ve n by s 2+ 2¸c w 0s+ w 0 2= 0 . ¸c = 0 , t h e s y s t e m r e s p o n s e w i l l b e ( a) c r i t i c a l l y d am p e d o s c i l l a to r y (b ) c o n s t ant a m p l i t u d e s i nu s o i d a l ( c ) d a m p e d o s c i l l a t or ( d ) z e r o B 1 2. b a n d w i d t h i s u s e d as a m e a n s o f s p e c i f y i n g p e r f o r m an c e o f a c o nt ro l s ys tem r e l at e d t o ( a) t h e c on s t a nt ga i n ( b ) T h e va r i ab l e ga i n ( c ) r e l a ti ve s t ab i l i ty of sy s t e m ( d ) t h e s p e e d of re s p o n s e D 1 3. I n c l os e d - l o o p s y s t e m i n w h i ch t h e ou t p u t i s t h e s p e e d o f a r o t or , t h e o u t put ra t e c ont r ol c an b e u s e d t o ( a) l i m i t t h e t o r qu e o u tp u t o f m ot o r ( b ) r e d u c e t he d a m p i n g of th e s y s t e m ( c ) l i m i t t h e s p e e d of m ot o r ( d ) l i m i t t h e a c c e l e r at i o n o f the system D 1 4. T h e ve l o c i ty e r r o r c o e ffi e c i e nt f or a u n i ty f e e d b a ck s y s t e m i s d e fi n e d as ( a) L i m G (s ) s 0 ( b ) L i m S * G ( s ) s 0 ( c ) L i m G ( s )/ s s 0 ( d ) L i m S 2 G ( s ) s 0 B 1 5. i n a f or c e b a l an c e typ e p n e u m a t i c c o nt ro l l e r , t h e nu mb e r of b e l l ow s r e q u i r ed f or P I D a c t i on i s ( a) 3 ( b ) 2 ( c ) 4 ( d ) 1 C 1 6. t h e ch ar a c t e r i s t i c e qu a t i on o f a s y s t e m h as r o ot s w i t h n e ga t i ve r e a l p a r ts i f a n d o n l y if e l e m e nts o f t h e fi r s t c o l u m n o f t h e Ro u t hs t ab l e h ave ( a) n e g at i ve s i gn . ( b ) S a m e s i g n . ( c ) p o s i t i ve s i g n . ( d ) A l t e r n at e p os i t ive an d n e ga t i ve s i g n B 1 7. G i ve n , t h e ch a r ac t e r i s t i c e q u at i o n a s F ( S ) = 3 (S ) ( S ) +1 0 (S ) ( S ) +5 S +5 S +2 = 0, T h e n t h e s y s t e m i s ( a) m a rg i n a ll y s t ab l e ( b ) s t a b l e ( c ) u n s t a b l e ( d ) c o n d i t i on a l l y s t ab l e B 1 8. t h e r o o t l o c i o f a s y s t e m h as t h r e e a s y m p t ot e s . T h e s ys te m c a n h ave ) t h r e e p o l e s . ( a) t h r e e p ol e s . ( b ) Fo u r p o l e s an d on e z e r o ( c ) c a n t t e l l f r o m t h e op t i on s g i ve n ( d ) F i ve p o l e s an d f ou r z e r os . C 1 9. Fo r r o ot l o c i w h i ch o f th e f o l l ow i n g a r e t h e s ta r t i n g p oi nt s ? ( a) c l o s e d l o o p p o l e s ( b ) o p e n l o o p p o l e s ( c ) c l o s e d l o o p z e ro s ( d ) o p e n l o o p z e r o s B 2 0. A d d i n g o f p o l e s i n t h e t r a n s f e r f u n c ti o n c au s e s ( a) l e a d - l a g c om p e n s a ti o n ( b ) l a g c o m p e n s a t i on ( c ) n o c o m p e n s a t i on ( d ) l e a d - c o m p e n s a t i on D KEY1. D2. A3. C4. D5. C6. D7. C8. C9. A10. C11. B12. D13. D14. B15. C16. B17. B18. C19. B20. D

m ( c ) C a s c a d e c o nt ro l s ys te m s ( d ) P r o c e s s c o ntr o l s y s t e m D 2 . T h e c l o s e d l o o p tr a n s f e r f u n c t i on o f t h e o p e n l o o p t r a n s f e r f u n c t i on , G ( s ) = K / [ s T ) ] o f a u n i ty f e e db a ck s ys te m i s ( a) k /s (T +s T ) ( b ) k ( 1+ s T ) / s ( c ) k /( s T +s + k ) ( d ) K ( 1 +2 C 3 . R e ge n e r at i ve f e e d b ack i m p l i e s f e e d b ack w i th ( a) p o s i t i ve s i g n ( b ) o s c i l l a ti o n s ( g at i ve s ig n ( d ) s t e p i n p u t A 4 . T h e t ra n s f e r f u n c t i on of t h e d i ff e re nt i a l e q u a ti o n y ( t ) = x (t - T ) i s gi ve n by ( a) Y ( s ) = S ( s ) = e - T / (s +1 ) ( c ) Y ( s ) = e - 1/ ( s + 1) ( d ) Y ( s ) = e - S T / (s +1 ) B 5 . I n a s y s t e m w i t h ro t at i n g m a s s , t h e t i m e c o n s t ant o f th e s y s t e m c an b e d e c r e as e d b e d u c i n g f r i c t i o n ( b ) o u tp u t ra t e f e e d b ack ( c ) i n c r e a s i n g t h e i n e r t i a o f t h e s ys t e m ncreasinginputtosystemB 6 . I f a c o nve nt i on a l s e rvo - m o to r i s u s e d f or s e r vo a p p l i c a ti o n s , t h e s y s t e m b e c o m e s ta b l e b e c a u s e ( a) t h e r o t or d i a m e t e r i s l ar g e ( b ) t h e r o t or r e s i s ta n c e i s l ow ( c ) t h e e d vo l ta g e s a re a l way s t o b e b al a n c e d ( d ) t h e r o t or r e s i s ta n c e i s h i g h B 7 . T h e t ra n s f e r f u n c t i on i s ( 1 +0 . 5 s ) /( 1+ s ) . I t re p re s e nt s a ( a) l e a d n e twor k ( b ) p r op o a l c o nt ro l l e r ( c ) l a g n e two r k ( d ) l a g - l e ad n e two r k C 8 . T wo b l o ck s h avi n g r e s p e c t i ve f u n c t i o n s a s G 1 ab d G 2 a r e c o n n e c t e d i n p a ra l l e l . T e s u l t ant w i l l b e ( a) G 1 +G 2 ( b ) G 1 o r G 2 w h i ch e ve r i s l owe r ( c ) G 1 G 2 ( d ) G 1 o r G 2 w h i rishigherA 9 . T h e p r o d u c t of t h e b r a n ch ga i n s of t h e l o o p i s ( a) f e e d b a ck p at h g a i n ( b ) l o op ga i n r war d p at h g ai n ( d ) p a th ga i n B 1 0. T h e ch ar a c t e r i s t i c e q u a t i on o f th e s e c on d or d e r s y s te m i s g i ve n by s 2 + 2¸c w 0 s +w 0 2 . T h e t e r m ¸c i s c a l l e d ( a) d a m p i n g f ac t o r ( b ) f r e q u e n c y f ac t o r ( c ) p o l e f ac t o r ( d ) s i ty f ac t o r A 1 1. T h e t ra n s f e r f u n c t i on of a fi r s t o rd e r c o nt r o l s y s t e m is o f t h e ty p e ( a) T s ( b ) 1 /T s ( /T s +1 ( d ) 1 /T s 2 + 1 C 1 2. A s e c o n d o r d e r s y s t e m w i t h n o z e r os h a s i t s p o l e s l o c at e d at - 3+ j 4 a n d - 3- j 4 i n th e an e t h e un d a m p e d n at u r a l f r e q u e n c y a n d t h e d am p i n g f a c t o r of t h e s ys te m ar e r e s p e l y ( a) 3 ra d / s e c a nd 0. 6 0 ( b ) 5 ra d / s e c an d 0 . 8 0 ( c ) 5 ra d / s e c an d 0 . 6 0 ( d ) 4 ra d / s e c a nd 5C 1 3. T h e p o s i t i on a n d ve l o c i ty e r r or s of a ty p e 2 s y s t e m ar e ( a) Z e ro , c on s t a nt ( b ) c o n s c on s t a nt ( c ) c o n s t ant , i n fi n i ty ( d ) Z e ro , z e r o D 1 4. Ty p e 1 s y s t e m u n d e r p a r ab ol i c i n p u t w i l l h ave w h i ch o f th e f o l l ow i n g ? ( a) p a ra b o t p u t ( b ) A c t u a ti n g s i gn a l w h i ch w i l l i n c r e a s e w i t h t i m e ( c ) A c t u a ti n g s i gn a l w h i ch e c r e a s e w i t h t i m e ( d ) s t e p ou t p u t B 1 5. W h e n d e r i va ti ve a c t i o n i s i n c l u d e d i n p ro p o r ti o n al c o nt r o l l e r , t h e p r o p or t i o n a d ( a) r e m a i n s u n a ff e c t e d ( b ) d e c r e a s e s ( c ) i n c r e a s e s ( d ) d e p e n d s u p o n d e r i vat i e c on s t a nt A 1 6. T h e b e s t m e th o d f or d e t e r mi n i n g t h e s t i b i l i ty an d t r a n s i e nt r e s p o n s e i s ( a) r o ot ( b ) b o d e p l ot ( c ) ny qu i s t p l ot ( d ) n i ch o l as ch ar t A 1 7. A s te p f u n c t i o n i s ap p l i e d t o th e i n p u t o f s y s t e m an d ou t p u t i s of t h e f or m y = t, t h e s m i s ( a) n o t n e c e s s ar i l y s ta b l e ( b ) s t a b l e ( c ) u n s t a b l e ( d ) c o n d i t i on a l l y s t a b l e C 1 8. A s ys te m h a s l o o p g ai n a s G ( s ) H ( s ) = K /s (s +1 ) (s +2 ) (s +3 ) . t h e nu mb e r of p ol e s a n d z e s p e c t i ve l y a re ( a) 1 , 4 ( b ) 1 , 3 ( c ) 2 , 2 ( d ) 4 , 0 B 1 9. I n ro o t l o c u s p l o t d i ff e r e nt r o ot s h ave t h e s am e ( a) g ai n m ar gi n an d p h as e m a rg i n ( a s e ( c ) p h a s e a n g l e ( d ) g ai n A 2 0. T h e e ff e c t of ad d i n g p ol e s a nd z e r o s c a n b e d e t e r m i n e d qu i ck l y by w h i ch of t h e f o l g ( a) N i ch o l as ch ar t ( b ) r o ot l o c u s ( c ) ny qu i s t p l ot ( d ) b o d e p l ot D KEY: 1(d)2(c)3(a)4(b)5(b)6(b)7(c)8(a)9(b)10(a)11(c)12(c)13(d)14(b)15(a)16(a)17(c) 18(b)19(a)20(d)

ol ( c ) F i e l d c ont r ol l e d d . c m o t or ( d ) S t r ob o s c o p e C 2 . I nt r o d u c ti o n o f n e ga t i ve f e e d b a ck i n a s ys te m d o e s n o t l e a d t o r e d un i n ( a) d i s t o rt i o n ( b ) ove r a l l ga i n ( c ) i n s t a b i l i ty ( d ) b a n d w i d th D 3 . I n a n e ga t i ve f e e d b ack s y s t e m w i t h l o o p g ai n T , t h e n oi s e g e n e r at e dh i n t h e b a s i c am p l i fi e r ( a) r e m a i n s u n a ff e c t e d by th e f e e d b a ck ( b ) i na s e by a f ac t o r o f ( 1 - T ) ( c ) d e c r e a s e s by a f a c t or o f (1 - T ) ( d ) d e c r e a s e ac to r o f ( 1 +T ) C 4 . s p r i n g f or c e i s a n on - l i n e ar f u n c t i o n o f t h e d i s p l a c e m e nt x m e a s u f r om t h e r e s t p o s i t i on . T h e e qu a t i on o f m ot i o n o f m a s s M i s ( a) M d 2 x /+ d x /d t = 0 ( b ) d x d t + x = 0 ( c ) M d 2 x /d t 2 + f s ( x ) = 0 ( d ) M d x/ d t + f s (x ) = C 5 . T h e p o l e s o f F ( s )( s 2 - 1 6 )/ ( s 5 - 7 s 4 - 3 0 s 3 ) a r e l o c a t e d a t ( a) s = 0 (te p ol e ) , - 3 a n d 10 ( b ) s = 0 (t r i p l e p ol e ) , - 3 a n d 10 ( c ) s = 4, 4 ( d ) s = 0, 4, 16 A 6 . T h e fi e l d of a d . c s e r vo - m o t or i s s e p ar a t e l y e x c i t e d by a d . c a m p l i fi ega i n K = 9 0. I f t h e fi e l d h a s a n i n d u c t an c e o f 2 H an d a re s i s t an c e o f 5 0 oh me val u e of t h e fi e l d c o n s t ant w i l l b e ( a) 0 . 04 s e c ( b ) D 0. 5 s e c ( c ) 0 . 01 s e c0 . 02 s e c A 7 . T h e tr a n s f e r f u nc ti o n o f a s i m p l e R - C n e twor k f u n c t i o n i n g as a c ont roi s G ( s ) = ( s +Z 1) / ( s +P 1) . T h e c on d i t i o n f o r R - C n e two r k t o ac t as a p h as e lc o nt ro l l e r i s ( a) P 1 > Z 1 ( b ) P 1 < Z 1 ( c ) P 1 = Z 1 ( d ) P 1 = 0A 8 . T wo b l o ck s h avi n g r e s p e c t i ve f u n c t i o n s a s G 1 an d G 2 a re c o n n e c t e dr i e s c a s c a d e . T h e i r re s u l ta nt w i l l b e ( a) G 1 + G 2 ( b ) G 1 /G 2 ( c ) G 2 /G 1G 1 G 2 D 9 . A s ys te m va r i ab l e t h at e qu a l s th e s u m of al l th e i n c o m i n g s i gn a l s i s d ed a s ( a) i n p u t n o d e ( b ) n o d e ( c ) b r an ch ( d ) o u tp u t no d e B1 0. T h e ch ar a c t e r i s t i c e q u a t i on o f th e s e c on d or d e r s ys te m i s g i ve n by2 ¸c w 0 s +w 0 2 = 0 . I f ¸c =1 , t h e s y s t e m e x h i b i t s ( a) l a rg e u n de rs h o o t ( b )l l ove r s h o o t ( c ) n o ove r s h o ot ( d ) l a rg e ove rs h o o t C 1 1. T h e t ra n s f e r f u n c t i on of a fi r s t o rd e r c o nt r o l s y s t e m is o f t h e ty p e (( b ) 1 /T s 2 + 1 ( c ) 1 /T s +1 ( d ) 1 /T s C 1 2. A u n i ty f e e d b ack s ys te m h a s t r an s f e r f u n c t i o n G ( s ) = 9 S ( s + 3 ) ( a) p i n g r a t i o= 0 . 6 ( b ) n a tu r a l f r e q u e n c y = 9 ( c ) n a tu r a l f r e q u e n c y = 3 ( d ) m p i n g r a t i o= 0. 8 C 1 3. I n c as e o f ty p e - 1 s y s t e m s t e a d y s t a te a c c e l e r a ti o n i s ( a) u n i ty ( b )ro ( c ) 1 0 ( d ) i n fi n i ty D 1 4. T h e s t e a d y s t at e ac c e l e r at i o n e r r or f or a ty p e 1 s ys te m i s ( a) I n fi n i t) 0 ( c ) 1 ( d ) B e twe e n 0 an d 1 A1 5. t h e nu mb e r o f op e ra t i on a l a m p l i fi e r r e q u i r e d t o d e s i g n a n e l e c t ri - c ont r ol l e r i s ( a) 3 ( b ) 4 ( c ) 1 ( d ) 2 C 1 6. a t t h e p o i nt w h e r e 18 0 0 l o c u s c r os s e s t h e j - a x i s , th e s y s t e m i s ( a)d a m p e d ( b ) a b s ol u t e l y un s ta b l e ( c ) u n d e r d a m p e d ( d ) a b s ol u t e l y se B 1 7. T h e s y s t e m w i th tr a n s f e r f u n c t i on K / S 2 ( 1+ s T ) i s o p e r a te d i n c l o so op w i th u n i ty f e e d b a ck. T h e c l os e d - l o op s y s t e m i s ( a) s t a b l e ( b ) m a rgl ly s t ab l e ( c ) u n s t a b l e ( d ) c o n d i t i on a l l y s t ab l e C 1 8. w h i ch of th e f o l l ow i n g s ta t e m e nt s i s n ot tr u e f o r ro o t l o c u s te ch n i qua) i t i s m os t u s e f u l f or s i n gl e - i n p u t a n d s i n g l e - o u t p u t s y s t e m ( b ) i t pd e s t h e p a t te rn of m ove m e nt o f c l os e d - l o op p ol e s w h e n op e n - l o o p g ai ns ( c ) c a n t t e l l f r o m t h e op t i on s g i ve n ( d ) i t i s u s e d to o b t ai n c l os e d - l oo l e c o n fi g u ra t i on f r om op e n - l o op p ol e s a n d z e ro s C 1 9. G ( s ) H (s) = K /s (s +1 ) (s +2 ) (s +3 ) T h e n , t h e a n gl e o f a s y m p t ot e s w i t h rxi s r e s p e c t i ve l y a r e ( a) 3 4 0 , 4 5 0 ( b ) 4 5 0 , 1 35 0 , 2 25 0 ( c ) 4 5 0 , 1 35 0 (5 0 , 1 35 0 , 2 25 0 , 3 1 5 0 D 2 0. A d d i n g a z e r o ve r y c l o s e t o o r i gi n i n t h e T . F h as i m p ac t on ( a) t r an s ire s p on s e ( b ) n o e ff e c t on r e s p o n s e ( c ) i m p u l s e r e s p o n s e ( d ) s t e a d y te r e s p o n s e A 1.C 10.C 19.D2.D 11.C 20.A3.C 12.C4.C 13.D5.A 14.A6.A 15.C7.A 16.B8.D 17.C9.B 18 .CKEY :

1 . A t e m p e r at u r e c o nt ro l s ys te m i s kn ow n a s ( a) S e r vom e ch a n i s m ( b ) P r o c e s s co ntr o l s y s t e m ( c ) O u tp u t C ont r ol s y s t e m ( d ) C a s c a d e c o nt ro l s ys te m sB 2 . n o i s e i n c o nt r ol s y s t e m c an b e avo i d e d by ( a) a tt e nu a ti n g t h o s e f r e q u e n c i e sat w h i ch e x t e r n al s i gnal g e t c ou p l e d i nt o t h e s y s t e m ( b ) R e d u c i n g t h e b a n d w idt h a n d a t t e nu at i n g t h o s e f r e q u e n c i e s a t w h i ch e xt e r n a l s i gn a l ge t c o u p l e d i nto th e s y s t e m ( c ) R e d u c i n g t h e b a n d w i d t h ( d ) B y i n c r e as i ng frequen yB 3 . W i t h f e e d b a ck s y s t e m ( a) t h e t r a ns i e nt r e s p o n s e d e c ay s m or e qu i ck l y ( b ) th e t r a ns i e nt r e s p o n s e ge t s m ag n i fi e d ( c ) t h e t r a ns i e nt r e s p o n s e d e c ay s s l ow ly ( d ) t h e t r a ns i e nt r e s p o n s e d e c ay s at a c on s t a nt r at e C 4 . T h e t ra n s f e r f u n c t i on of t h e s ys te m w h o s e i n p u t ar e r e l a t e d by t h e f ol l ow i n gd i ff e r nt i al e q u at i o n i s gi ve n by d 2y /d t 2 + 3 d y /d t + 2 y = + d x/ d t ( a) 1 /( s 2+ 3s + 2 ) ( b )( s + 1) / (s 2+ 3s + 2 ) ( c ) s / ( s 2+ 3s + 2 ) ( d ) ( s + 2) / (s 2+ 3s + 2 ) C 5 . I n f or c e c u r r e nt A n al o g y, i n d i c a t e t h e tr u e s t at e m e nt ( a) p r i n g c on s ta nt i s ana l og o u s t o r e c i p r o c al of c a p ac i t a n c e ( b ) m a s s i s a n al o go u s to i n d u c t a n c e ( c ) vi s c o u s f ri c ti o n c o e ffi e nt i s a n al o go u s to r e c i p ro c a l o f r e s i s t an c e ( d ) f o r c e i s a nal o go u s t o vol t a ge C 6 . W h i ch o f th e f o l l ow i n g s t a t e m e nts i s n ot c or r e c t f or s e r vo m e ch a n i s m s ? ( a) st e a d y s t a te a c c u r ac y of a s e r vo is b e t t e r t h a n t h a t of a r e gu l a t or ( b ) A m o t or m ay b e ad d e d t o c onve r t a r e g u l at or i nt o a s e rvo ( c ) S o m e s e rvos d o n o t n e e d to b e s t a bl e , s i n c e t h e y a r e i nt e n d e d f or u s e w i t h s t e ad y s i gn a l s ( d ) A s e r vo w i t h b e t te r fr e q u e n c y r e s p on s e n e e d n ot b e s ta b l e C 7 . T h e t ra n s f e r f u n c t i on i s ( 1 +0 . 5 s ) /( 1+ s ) . I t re p re s e nt s a ( a) p r op or t i on a l c o n tro l l e r ( b ) l a g n e two r k ( c ) l a g- l e ad n e two r k ( d ) l e a d n e twor k B 8 . T wo b l o ck s h avi n g r e s p e c t i ve f u n c t i o n s a s G 1 ab d G 2 a r e c o n n e c t e d i n p a ra l le l . T h e i r r e s u l t ant w i l l b e ( a) G 1 +G 2 ( b ) G 1 o r G 2 w h i ch e ve r i s h i g h e r ( c ) G 1 o rG 2 w h i ch e ve r i s l owe r ( d)G1G2A 9 . T h e p r o d u c t of t h e b r a n ch ga i n s e n c o u nt e r e d i n t r ave r s i n g a p at h i s ( a) l o opga i n ( b ) p a th ga i n ( c ) Fo r war d p at h g ai n ( d ) f e e d b a ck p at h g a i n B 1 0. N a tu r a l f r e q u e n c y of a u n i ty f e e d b a ck c o nt r ol s y s t e m o f tr a n s f e r f u n c t i onG ( s ) = 1 0 /s ( s + 1 ) i s ( a) 4 . 16 r a d /s e c ( b ) 0 . 5 ra d / s e c ( c ) 4 . 6 ra d / s e c ( d ) 3 . 16 r a d /s e c D 1 1. T h e ty p e - 2 s y s t e m h a s ( a) s i m p l e p o l e a t t h e o r i gi n ( b ) two p ol e s a t t h e o r igi n ( c ) n e t p ol e at t h e or i g i n ( d ) n o n e t p ol e at t h e or i g i n B 1 2. I n c ont r ol s y s t e m e xc e s s i ve b a n d w i d t h s h o u l d b e avo i d e d b a c au s e ( a) i t l e ad s to l ow r e l a t i ve s t ab i l i ty ( b ) n o i s e i s p r op or t i on a l t o b a n d w i d t h ( c ) i t l e a d sto s l ow s p e e d of r e s p o n s e ( d ) i t l e a d s to h i g h s p e e d o f re s p o n s e B 1 3. I n a s t ab l e c o nt r ol s y s t e m b a ck l as h c a n c a u s e w h i ch o f t h e f ol l ow i n g ? ( a) l owl e ve l o s c i l l a t i on s ( b ) u n d e r d a mp i n g ( c ) p o o r s t ab i l i ty a t r e d u c e d va lu e s o f op e n l o op ga i n ( d ) ove r d a m pi n g A 1 4. T h e p o s i t i on e rr o r c o e ffi e c i e nt f or a u n i ty f e e d b ack s y s t e m i s d e fi n e d a s ( a)L i m S * G ( s ) s 0 ( b ) L i m G (s ) s 0 ( c ) L i m G (s )/ s s 0 ( d ) L i m S 2 G ( s ) s 0 B 1 5. T h e e rr o r s i gn a l p r o d u c e d i n a c o nt r ol s y s t e m i s Q r= a +b t . i f o n l y p ro p o r ti o na l ac t i o n i s u s e d , t h e i n p u t i s gi ve n t o t h e fi n a l c o nt ro l e l e m e nt w h e n P I D a c t i on is u s e d , w i l l b e ( a) - ( K a + K 1b t + K 2 a+ K 2 b t) ( b ) ( ( K a+ K 1 ( a+ b t )+ K 2 (a t +b t 2 ) ) ( c ) -K (a + b tK 1( a t+ b t 2K 2 b ) ) ) ( d ) ( ( K a+ K 1 ( a+ b t )+ K 2 (a t +b t 2 ) ) C 1 6. t h e t r a n s f e r f u n c ti o n o f a u n ity f e e d b ack s y s t e m i s G ( s ) = K / s ( s + s ) ( s +5 ) . th e r an g e of K f or s ta b l e o p e r a t i on i s ( a) 0 < K < 3 0 ( b ) K = 0 ( c ) K = 10 ( d ) K > 4 0A 1 7. G i ve n , G ( s ) = ( 1 - s ) /( s ( s + 2) ) . T h e s y s t e m w i t h t h e t r a n s f e r f u n c ti o n i s op e rat e d i n a C l os e d - l o op w i th u n i ty f e e d b ack . T h e c l os e d - l o op s y s t e m i s ( a) s t a b l e (b ) m a rg i n a l ly s t ab l e ( c ) u n s t a b l e ( d ) c o n d i t i on a l l y s t ab l e A 1 8. w h i ch of t he f o l l ow i n g s ta t e m e nt s i s n ot tr u e f o r r o o t l o c u s te ch n i qu e ( a) i t pr o v i d e s t h e p a t te rn of m ove m e nt o f c l os e d - l o op p ol e s w h e n o p e n - l o o p g ai n var i es ( b ) c a n t t e l l f r o m t h e op t i o ns g i ve n ( c ) i t i s m os t u s e f u l f or s i n gl e - i n p u t a n d s i n g l e - o u t p u t s y s t e m ( d ) i t i s u s e d to o b t ai n c l os e d - l o o p p o l e c o n fi g u ra t i on f r om op e n - l o op p ol e s a n d z e ro s B 1 9. T h e t ra n s f e r f u n c t i on i s K /( s + 1) ( s + 2) ( s + 3) th e n , t h e b r e a k away p o i nt w i l l b e b e twe e n ( a) - 2 a n d - 3 ( b ) 0 a n d - 1 ( c ) - 1 a n d - 2 ( d ) B e yo n d - 3 C 2 0. T h e e ff e c t of ad d i n g p ol e s a nd z e r o s c a n b e d e t e r m i n e d qu i ck l y by w h i ch of t h e f o l l ow i n g ( a) b o d e p l ot ( b ) N i ch o l as ch ar t ( c ) r o ot l o c u s ( d ) ny qu i s t p l otA

o c e s s c o ntr o l s y s t e m ( c ) O u tp u t C ont r ol s y s t e m ( d ) S e r vom e ch a n i s m B 2 . T h e op e n l o op t ra n s f e r f u n c t i on of a u n i ty f e e d b a ck s y s t e m i s G ( s ) = K S ( 1 + S T ) t h e ch a r ac t e r i s t i c e q u at i o n o f t h e c l os e d l o o p s y s t e m i s ( a) s 2 + k= 0 ( b ) S + K=0(c)s2+sT+K(d)s2+sT=0C 3 . W i t h f e e d b a ck s y s t e m ( a) t h e t r a ns i e nt r e s p o n s e d e c ay s m or e qu i ck l y ( b ) t h e t r a ns i e nt r e s p o n s e d e c ay s at a c on s t a nt r at e ( c ) t h e t r a ns i e nt r e s p o n s e ge t s m ag n i fi e d ( d ) t h e t r a ns i e nt r e s p o n s e d e c ay s s l ow l y D 4 . T h e l i n e ar e q u at i o n d e s c ri b i n g t h e m ot i o n of p e n d u l u m f o r s m al l va l u e s of d i s p l a c e m e nt ( t h e t a) i s g i ve n by ( a) d 2 / d t 2 + ( l /g ) s i n = 0 ( b ) d 2 / d t 2 + ( l /g ) = 0 ( c ) d 2 / d t 2 + ( g/ l ) = 0 ( d ) d 2 / d t 2 + ( g/ l ) s i n = 0 C 5 . I n f or c e - vol t ag e an a l og y, m as s i s an a l og ou s t o ( a) r e s i s t a n c e ( b ) c u r r e nt ( c ) i n d u c t a nc e ( d ) vol t a ge C 6 . T h e s e r vo m ot or d i ff e r s f ro m o t h e r m o to r s i n t h e s e ns e t h a t i t h a s ( a) e n t i r e l y d i ff e r e nt c o n s t r u c t i on ( b ) h i g h i n e r t i a an d h i gh to r qu e ( c ) l ow i n e r t i a an d l ow to r qu e ( d ) l ow i n e r t i a an d h i gh to r qu e D 7 . T h e tr a n s f e r f u nc ti o n o f a s i m p l e R - C n e twor k f u n c t i o n i n g as a c ont ro l l e r i s G ( s ) = ( s +Z 1) / ( s +P 1) . T h e c on d i t i o n f o r R - C n e two r k t o ac t as a p h as e l e a d c o nt ro l l e r i s ( a) P 1 = Z 1 ( b ) P 1 = 0 ( c ) P 1 < Z 1 ( d ) P 1 > Z 1 D 8 . T wo b l o ck s h avi n g r e s p e c t i ve f u n c t i o n s a s G 1 an d G 2 a re c o n n e c t e d i n s e r i e s c a s c a d e . T h e i r re s u l ta nt w i l l b e ( a) G 1 /G 2 ( b ) G 2 /G 1 ( c ) G 1 + G 2 ( d ) G 1 G 2 D 9 . l o op s w h i ch do n o t h ave a c om m o n n o d e ar e s ai d t o b e ( a) s e l f l o op s ( b ) f o r war d l o o p s ( c ) t ou ch i n g l o o p s ( d ) n o n t ou ch i n g l o o p s D 1 0. T h e ch ar a c t e r i s t i c e q u a t i on o f th e s e c on d or d e r s ys te m i s g i ve n by s 2 + 2 ¸c w 0 s +w 0 2 = 0 . I f ¸c =1 , t h e s y s t e m i s ( a) ove r d a m p e d ( b ) u n d e r d a m p e d ( c ) a b s ol u t e l y da m p e d ( d ) c r i t i c a l l y d am p e d D 1 1. T h e ch ar a c t e r i s t i c e q u a t i on o f th e s e c on d or d e r s ys te m i s g i ve n by s 2 + 2¸c w 0s + w 0 2 = 0 . I f = 0 1 , t h e p o l e s a r e ( a) + o r - j ¸c w 0 ( b ) + o r - j ¸c w 0 2 ( c ) + o r - j w 0 2 (d)+or -jw0D 1 2. A s e c o n d o r d e r s y s t e m w i t h n o z e r os h a s i t s p o l e s l o c at e d at - 3+ j 4 a n d - 3- j 4 i n th e s - p l an e t h e un d a m p e d n at u r a l f r e q u e n c y a n d t h e d am p i n g f a c t o r of t h e s ys te m ar e r e s p e c ti ve l y ( a) 5 ra d / s e c an d 0 . 6 0 ( b ) 4 ra d / s e c a nd 0. 7 5 ( c ) 3 ra d / s e c a nd 0. 6 0 ( d ) 5 ra d / s e c an d 0 . 8 0 A 1 3. I n a s t ab l e c o nt r ol s y s t e m b a ck l as h c a n c a u s e w h i ch o f t h e f ol l ow i n g ? ( a) u n d e r d a mp i n g ( b ) l ow l e ve l o s c i l l a t i on s ( c ) ove r d a m pi n g ( d ) p o o r s t ab i l i ty a t r e d u c e d val u e s o f o p e n l o op ga i n B 1 4. I n a c ont r ol s y s t e m i nt e g ra l e rr o r c o m p e n s a t i on s t e a d y s t a te e r r or ( a) d o e s n ot h ave any e ff e c t o n ( b ) n o th i n g c a n t e l l ( c ) i n c r e a s e s ( d ) d e c r e a s e s D 1 5. T h e e rr o r s i gn a l p r o d u c e d i n a c ont r ol s y s t e m i s Q r= a +b t . i f o n l y p r o p o rt i o n al a c t i o n i s u s e d , t h e i n p u t i s gi ve n t o t h e fi n a l c o nt ro l e l e m e nt w h e n P I D a c t i on i s u s e d , w i l l b e ( a) ( ( K a+ K 1 ( a+ b t )+ K 2 (a t +b t 2 ) ) ( b ) - K (a + b tK 1( a t+ b t 2K 2 b ) ) ) ( c ) ( ( K a+ K 1 ( a+ b t )+ K 2 (a t +b t 2 ) ) ( d ) - ( K a + K 1b t + K 2 a+ K 2 b t) B 1 6. a t t h e p o i nt w h e r e 18 0 0 l o c u s c r os s e s t h e j - a x i s , th e s y s t e m i s ( a) ove r d a m p e d ( b ) a b s ol u t e l y s t ab l e ( c ) a b s ol u t e l y un s ta b l e ( d ) u n d e r d a m p e dC 1 7. A s te p f u n c t i o n i s ap p l i e d t o th e i n p u t o f s y s t e m an d ou t p u t i s of t h e f or m y =t, t h e s y s t e m i s ( a) s t a b l e ( b ) u n s t a b l e ( c ) c o n d i t i on a l l y s t ab l e ( d ) n o t n e c e s s ar i l y s ta b l e D 1 8. A s ys te m h a s l o o p g ai n a s G ( s ) H ( s ) = K /s (s +1 ) (s +2 ) (s +3 ) . t h e nu mb e r of p ol e s a n d z e ro s re s p e c t i ve l y a re ( a) 1 , 3 ( b ) 4 , 0 ( c ) 2 , 2 ( d ) 1 , 4 A 1 9. T h e t ra n s f e r f u n c t i on i s K /( s + 1) ( s + 2) ( s + 3) t h e n , t h e b r e a k away p o i nt w i l l b e b e twe e n ( a) 0 a n d - 1 ( b ) - 1 a n d - 2 ( c ) B e yo n d - 3 ( d ) - 2 a n d 3 B 2 0. A d d i n g i n t h e z e r os i n t h e t ra n s f e r f u n c t i on c a u s e s ( a) l e a d - l a g c om p e n s a ti o n ( b ) l a g- c om p e n s at i o n ( c ) l e a d c o m p e n s a t i on ( d ) n o c o m p e n s a t i on B KEY(b,c,d,c,c,d,d,d,d,d,d,a,b,d,b,c,d,a,b,b)

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