基于adp的时滞系统优化控制的-研究

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1、RESEARCHESONOPTlMALCONTROLoFTHESYSTEMSWITHTIMEDELAYBASEDONAPPRoXIMATEDYNAMICPROGRAMMINGABSTRACTThetime—delaydelayphenomenonisakindofwidespreadphysicalandbiologicalphenomenon．Theexistenceoftime-delaynotonlygivethestabilityofsystemanalysisandcontrollerdes

2、ignbringsgreatdifficultiesbutalsousuallymakethesystemsunstableandevencausethesystemperformancedeteriorated．Thereforetheresearchofoptimizmioncontrolforthenonlinearsystemwithtime—delayhasbeenthehotanddifficultprobleminthefieldofcontr01．AdaptiveDynamicProg

3、rammingusesthedynamicprogrammingasthetheoreticalbasisandcombinesreinforcementlearningideas；themainpointisusingtheapproximationtotheperformanceindexfunctionofthesystemstogettheoptimalcontr01．BecausedynamicprogrammingistogetoptimalcontrolbytheWayofcalcula

4、tingthesystemperformanceindexfunction，SOwhenthesystemshavehigherdimensionthecalculationoftheoptimalcontroliSquitegreat，itisdifficulttocalculatethecorrespondingresults，thisisthefamousdynamicprogramming¨dimensiondisaster¨problem．Adaptivedynamicprogramming

5、finishesthecontrollerdesignbyapproximatingthevaluefunction，anditavoidsthedimensiondisastersuccessfully．Anditwasconsideredtheeffectivemethodtosolvetheoptimalcontrolofthenonlinearsystems．Inthispaperfirstlyintroducethepresentresearchsituationaboutthesystem

6、swithtime—delayandtheadaptivedynamicprogramming．Secondly,introducethetheoryofadaptivedynamicprogrammingindetails；introducethewayofusingtheadaptivedynamicprogrammingiterativealgorithmtosolvethesystemsoptimalcontrolincludingmultipledelaysinstateandinputco

7、ntr01．Usingtheadaptivedynamiciterativealgorithmtosolvethisequmion，andtheconvergenceoftheproofisgiven．Byusingtheneuralnetworktoachievetheiterativealgorithm，gettheoptimalcontrollawofthesystemswithtimedelay．Thesimulationresultsshowthattheadaptivedynamicpro

8、grammingmethodtoIIsolvetheoptimalcontrolofthenonlinearsystemiseffective．Thenthetrackingproblemsofaclassofnonlineardiscretetime-delaysystemswereanalyzed，andthetrackingwillconverttheoptimaltrackingtheoptimaladjustmentproblemsthroug