chap6 - C h ap ter Syn th e s isand D K Itera t ion-Syn th...

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Unformatted text preview: C h ap ter Syn th e s isand D- K Itera t ion .-Syn th e s is W enow looka tth ep rob lem o fd es ign ingacon tro llertoach iev eap er fo rm an cesp ec ica t ion fo ra llp lan ts , P ( s ) ,ina se to fp lan ts , P .T h ep rev iou ssec t ion shav ed ea ltw ith th equ est ion s o fp er fo rm an ceand robu ststab ility ind ep thand th esam e fram ew o rk iscon s id ered fo rth e syn th es isp rob lem .F igu re .illu stra testh egen er icsyn th es is in terconn ec t ion stru c tu re . T h e low erha lfo fth isgu re isth esam ea stha tfo rth e H and H d es ignp rocedu re . T h econ tro llerm ea su rem en tsa re y ,and th econ tro llerac tua t ion inpu tsto th esy stem a re u .T h econgu ra t iond iersfrom th estanda rd H o r H ca se in tha t F u ( P ( s ) ; )(ra th er than th enom ina lp lan t , P ( s )) isu seda sth ed es ign in terconn ec t ion stru c tu re . T h ep rob lem istond K ( s )su ch tha tfo ra ll B , K ( s )stab ilizes F u ( P ( s ) ; )and k F u ( F l ( P ( s ) ;K ( s )) ; ) k .T h is isequ iva len tto K ( s )sa t is fy ing [ F l ( P ( s ) ;K ( s )) ] < . Ino th erw o rd s ,th ec lo sed loop sy stem sa t isesth erobu stp er fo rm an cesp ec ica t ion . U n fo rtuna te ly th isp rob lem ha sno ty e tb een so lv ed ,ex cep t isa few sp ec ia lca ses .T h e cu rren tapp roach to th isp rob lem ,know na s D- K itera t ion ,invo lv esth e itera t iv eapp lica t ion o fth e H d es ign techn iqu eand th eupp erboundca lcu la t ion .W ew illg iv eab r ie f con cep tua lov erv iew h ereandg iv em o rea lgo r ithm icd e ta ils inS ec t ion .. C on s id erapp ly ing H syn th es isto th e fu ll P ( s ) in terconn ec t ion stru c tu re fo rth isp rob- lem .Suppo setha tth isg iv esacon tro ller , K ( s )su ch tha t K ( s )stab ilizes P ( s )and k F l ( P ( s ) ;K ( s )) k : R eca lltha tth is isanupp erbound fo rth ep rob lem o fin terest ,im p ly ing tha t , [ F l ( P ( s ) ;K ( s ) ] ; a srequ ired .H ow ev erth eupp erboundm ayb econ serva t iv e ,m ean ingtha tino rd erto gua ran teetha t[ F l ( P ( s ) ;K ( s ) ],w ehav ehad tobackoon th ep er fo rm an ceand/o r th estab ilitym a...
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This note was uploaded on 04/06/2010 for the course ECE 210a taught by Professor Chandrasekara during the Spring '08 term at UCSB.

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chap6 - C h ap ter Syn th e s isand D K Itera t ion-Syn th...

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