基于hdp的一类时滞离散时间非线性系统最优跟踪控制的-研究

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1、RESEARCHESONOPTIMALTRACKINGCONTROLFORACLASSOFDISCRETE．TIMENONLINEARSYSTEMSWITHTIMEDELAYSBASEDONHEURISTICDYNAMICPRoGRAMMINGABSTRACTT缸edelayisallubiquitousphenomenon，chemicalprocesssystems、仃ansⅡusslonsystems、powersystemsaretypicalofthetimedelaysystem．Tim

2、edelayscouldresuhin也eeffectivenessofthecontrollerreduced，theworstcasemayleadtodeteriorationofsystemperf-omlance，andevensysteminstability．Sothestudyofdelaysystemswithoutinterruption，especiallyi11也efieldofcon仃01，timedelayproblemhasbeenthefocusofattention

3、mthefield．AdaptiveDynamicProgramming(ADP)isalloptimizationalgorithm，whichb2Lsedondynamicpro铲amming、reinforcementlearningandback。propagation·Thecoreideao劬eadaptivedynamicprogrammingistoapproximatetheperformancefunctionofthesystemtogetmeoptimalcontrol，th

4、ealgorithmavoidsthe‘‘curseofdimensionality”ofdyn疵cpro蓼amm迦，itisveryappropriatelyusedinthenoisy、non。linearandnon-statio‘1aryenviro眦ents，andthealgorimmisalsoconsideredtobeaveryeffectivemethodtosolVetheoDtiIllalcontr01problem．Inrecentyears，thealgorithmget

5、scloseattentionofmanyscholars·IIlthispaper，definitionofdelaysystemsandthebasicprinciplesoftheHeuristicDynaIllicPro孕ar叫血g(HDP)arefirstlydescribed，andthenfocusonthestudYoftheopt洫al仃ackillgcontr01problemoftimedelaysystembasedontheADPalgorithm·Ontheonehall

6、d，foraclaSsofnonlineardiscrete．timesystemswithtimedelay，bydefiningtheerror缸lction，corⅣersionofsystemandusinganewtypeofperformanceindexfunctionforthetrackingproblem，thentheoptimaltrackingcontrolproblemistransformedtotheoptimalregulationproblem，andthenus

7、etheHDPalgorithmtosolvetheoptimaltraC№gcon仃olproblem；0ntheotherhalld，basedontheoptimaltrackingcontrolwithouttimedelay，bYin仃oduc洫gthetimedelayfunction，thetime—varyingoptimaltrackingproblemoftheIInonlineardiscretesystemswithstatedelayandcontroldelayissol

8、vedbyusingtheHDPalgorithm．Inordertoverifythevalidityofthealgorithmfortheno．．delaysystemsanddelaysystems，thefixed-pointtrackingandtime-varyingtrackingsimulationexamplesaregiven．Finally，thestudiesinthispaperissummarizedandthenextstepofthe