Asg 4
Content
Asg 4 Sliding Mode Observer Design
Date of Submission – 18 Dec 2013, 1159 PM Late submissions will lose 5 marks er !a" automaticall"# $otal $otal Marks % 20 &mail "our solution wit' "our name an! re( number as t'e name of t'e )le e#(# P&13100*+i-wan# .on(ratulations, "ou 'a/e mastere! t'e tec'niue of !esi(nin( t'e sli!in( mo!e controllers t'rou(' /arious assi(nments, ui--es an! !emonstrations# s "ou 'a/e alrea!" learnt, control t'eor" not onl" un!ertakes t'e controller !esi(n, it is also a owerful state estimation tec'niue# ence, in t'is assi(nment, t'e last to be recise, we un!ertake a s'ort sli!in( mo!e obser/er !esi(n assi(nment to un!e n!erstan! an! t'e !esi(n roce!ure ure an! its imlementation in Matlab# $'e mo!el un!er consi!eration is t'at of a 'air !r"er an! is moti/a moti/ate te! ! from from t'e S"stem S"stem !enti !enti)ca )catio tion n $oolbo oolbo4 4 of Matlab Matlab## n Matl Ma tlab ab 'el 'el,, look look for for Estima Estimating ting Simple Simple Models Models from from Real Real Labora Laborator tory y Proces Process s Data, Data, case stu!"# $'e rocess works as follows ir is fanne! t'rou(' a tube an! 'eate! at t'e inlet# $'e air temerature is measure! b" a t'ermocoule at t'e outlet# $'e inut u2 is t'e ower o/er t'e 'eatin( !e/ice, w'ic' is 6ust a mes' of resistor wires# $'e outut is t'e outlet air temerature 7or rat'er t'e /olta(e from t'e t'ermocoule# $'e mo!el estimate! in t'e e4amle is (i/en# (i/en# our our 6ob is to !esi(n a sli!in( mo!e obser/er to estimate t'e temerature measure! b" t'e t'ermocoule an! lot t'e estimate! state alon(wit' t'e measure! !ata on a sin(le lot# :ote t'at t'e two cur/es s'oul! e/en e/entu tual all" l" mer mer(e# (e# Sar Sare e some some e;or e;ortt to re!uc e!uce e t'e t'e time time of con/ con/er er(e (e of esti estima mate te! ! stat state e to re real al stat state# e# $'is $'is s'al s'alll be "our "our erformance in!e4# Plot t'e suare of t'e error on a searate (ra'#
.an n "ou "ou t'ink 'ink of a wa" to !ete !eterrmine t'e Bons Bon s !es !esti tion on"" .a otimal coe<cients of "our sli!in( surface t'at minimi-e some erformance criterion= f "es, 'ow can we imlement it in Matlab# f "ou can attemt it successfull", s'all awar! an e4tra 10 marks to "ou#
Date of Submission – 18 Dec 2013, 1159 PM Late submissions will lose 5 marks er !a" automaticall"# $otal $otal Marks % 20 &mail "our solution wit' "our name an! re( number as t'e name of t'e )le e#(# P&13100*+i-wan# .on(ratulations, "ou 'a/e mastere! t'e tec'niue of !esi(nin( t'e sli!in( mo!e controllers t'rou(' /arious assi(nments, ui--es an! !emonstrations# s "ou 'a/e alrea!" learnt, control t'eor" not onl" un!ertakes t'e controller !esi(n, it is also a owerful state estimation tec'niue# ence, in t'is assi(nment, t'e last to be recise, we un!ertake a s'ort sli!in( mo!e obser/er !esi(n assi(nment to un!e n!erstan! an! t'e !esi(n roce!ure ure an! its imlementation in Matlab# $'e mo!el un!er consi!eration is t'at of a 'air !r"er an! is moti/a moti/ate te! ! from from t'e S"stem S"stem !enti !enti)ca )catio tion n $oolbo oolbo4 4 of Matlab Matlab## n Matl Ma tlab ab 'el 'el,, look look for for Estima Estimating ting Simple Simple Models Models from from Real Real Labora Laborator tory y Proces Process s Data, Data, case stu!"# $'e rocess works as follows ir is fanne! t'rou(' a tube an! 'eate! at t'e inlet# $'e air temerature is measure! b" a t'ermocoule at t'e outlet# $'e inut u2 is t'e ower o/er t'e 'eatin( !e/ice, w'ic' is 6ust a mes' of resistor wires# $'e outut is t'e outlet air temerature 7or rat'er t'e /olta(e from t'e t'ermocoule# $'e mo!el estimate! in t'e e4amle is (i/en# (i/en# our our 6ob is to !esi(n a sli!in( mo!e obser/er to estimate t'e temerature measure! b" t'e t'ermocoule an! lot t'e estimate! state alon(wit' t'e measure! !ata on a sin(le lot# :ote t'at t'e two cur/es s'oul! e/en e/entu tual all" l" mer mer(e# (e# Sar Sare e some some e;or e;ortt to re!uc e!uce e t'e t'e time time of con/ con/er er(e (e of esti estima mate te! ! stat state e to re real al stat state# e# $'is $'is s'al s'alll be "our "our erformance in!e4# Plot t'e suare of t'e error on a searate (ra'#
.an n "ou "ou t'ink 'ink of a wa" to !ete !eterrmine t'e Bons Bon s !es !esti tion on"" .a otimal coe<cients of "our sli!in( surface t'at minimi-e some erformance criterion= f "es, 'ow can we imlement it in Matlab# f "ou can attemt it successfull", s'all awar! an e4tra 10 marks to "ou#
