基于迭代逼近的非线性系统滑模控制

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1、Abstractl

2、ltheiterationtechniqueforfinitenonlinearsystems，thenonlinearsystemisap—proachedbYasequenceoflineartime—varyingsystems．Thusthecontrolofnonlinearsystemcouldbestudiedviathelineartime-varying(LTV)approximations．rnlis翊vesanewsolutionforthecontrolofnonlinearsystems．Thisdissertationpresents

3、t11eslidingcontrolmethodbasedontheiterationtechnique：aseriesofslidingcon仃ollerscouldbedeslgnedforthesequenceofLTVapproximations，thesecontrollerswillconVergetothecontrolleroftheoriginalnonlinearsystem．Inthisdissertationweuseasimpleslid—mgsurfacedesignmethod，whichisdevelopedfromanecessaryconditi

4、onofsvstemstability,forUrvsystems．ManyFealsystemsaredistributedandalegiven．byparticular,byfunctionaldif-ferentialequations(FDE)．Currently,thecontrolproblemofFDEshasnotbeenwidelvstudied·ThisdissertationextendstheiterationtechniquetoFDEsandprovestheLTVapproximationsaleglobalconvergenttotheorigin

5、alnonlinearsystemunderlocalLip．schltzconditions·ThusaslidingcontrollerforFDEcouldbedesignedviatheLTVapproximations．JneVelocitycontrolsystemsofhydraulicsystemsalegovernedbyFDEs．Asanexarnple，thisdissertationsetsupthemodeloftheTHPl0—630hydraulicpress姐ddesignsaslidingcontrollerforthemodelbytheiter

6、ationtechnique．SimulationresultssbOWSthatwhentheeffectivebulkmodulus尾andthereactionforce厂change，mecontrollerisrobustnecon∞lofdistributedparametersystemgivenbypartialdifferentialequ撕ons(PDE)isfarmorediflicultandcomplexthen1umpedsYstemsgivenbyordinarydiffer-ennalequations·Thisdissertationextends

7、theiterationtononlinearPDEs．techniqueAsanexample，weuseasequenceofLTVPDEstOapproximatetllenonlinearwaveequationandprovetheconvergencethroughfiniteapproximationsofPDE．Thenaslid—IIIAbstractingcontrollerisdesignedbasedontheiterationtechnique．Simulationresultsshowthatthecontrollercouldstabilizethen

8、onlinearwaveequation．Keywords：nonlinearcontrol；slidingmodecontrol；iterationtechnique；functionaldifferentialequation；partialdifferentialequation；distributedparametersystem；hydraulicsystem；velocitycontrolⅣ插图索弓图1．1图2．1图2．2图2．3图2．4图2．5图2．6图