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1、ISATRANSACTIONS®ISATransactions43~2004!33±47DigitalredesignofanalogSmithpredictorforsystemswithinputtimedelaysaa,*Shu-MeiGuobAlexC.Dunn,Leang-SanShieh,aDepartmentofElectricalandComputerEngineering,UniversityofHouston,Houston,TX77204-4005,USAbDepartmentofCo
2、mputerScienceandInformationEngineering,NationalCheng-KungUniversity,Tainan,Taiwan701,R.O.C.~Received4November2002;accepted9June2003!AbstractThispaperpresentsanewmethodologyfordigitallyredesigninganexistinganalogSmithpredictorcontrolsystem,suchthatthecascad
3、edanalogcontrollerwithinputdelaycanbeimplementedwithadigitalcontroller.AtraditionalanalogSmithpredictorsystemisreformulatedintoanaugmentedsystem,whichisthendigitallyredesignedusingthepredictedintersamplingstates.Thepaperextendstheprediction-baseddigitalred
4、esignmethodfromadelayfreefeedbacksystemtoaninputtime-delaycascadedsystem.Atuningparametervisoptimallydeterminedonlinesuchthatinanysamplingperiod,theoutputresponseerrorbetweentheoriginalanalogouslycontrolledtime-delaysystemandthedigitallycontrolledsampled-d
5、atatime-delaysystemissigni®cantlyreduced.Theproposedmethodgivesverygoodperformanceindealingwithsystemswithdelaysinexcessofseveralintegersamplingperiodsandshowsgoodrobustnesstosamplingperiodselection.©2004ISAÐTheInstrumentation,Systems,andAutomationSociety.
6、Keywords:Smithpredictorcontroller;Digitalredesign;Optimaldigitalobserver;Input-delaysystem;Sampled-datasystem1.Introductioncontinuous-timesetting,themathematicalmodelsoftime-delaysystemsarecomplicatedbytheseAlargeclassofindustrialprocessescontinuestomodels
7、beingin®nitedimensional.Discretizingbeprimarilycontinuous-timeorsampled-datasys-suchsystemsbecomesveryattractive,asthere-temsthatareplaguedbyconsiderabletimedelayssultingmodelsnowbecome®nitedimensionalandinsomecases.Thesetimedelays,resultingmainlymoreamena
8、bletomathematicalmanipulation.fromtransportingmaterialorenergy,canleadtoWhilemuchhasappearedintheliteratureregard-signi®cantdegradationofclosed-loopcontrolsys-ingtheSmithpredictor,mostoftheresearchhastemperfo
