切换系统的控制器设计

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1、ABSTRACTABSTRACTManySystemsinourlifeinpracticeinvolveacouplingbetweencontinuousdynamicsanddiscreteevent.Anysystemswherethesetwoclassesofdynamicscoexistandinteractarecalledhybridsystems.Switchedsystemsareanimportantandspecialclassofhybridsystems.Thesekindsofsystemsareusuallyconsisted

2、ofcontinuoustimesubsystems(ordiscretetimesubsystems)andaspecificswitchingrulewhichorchestratestheswitchingpatternsbetweentheirsubsystems.SinceswitchedsystemshaveawiderangofrepresentativeinrealplantsincludingIntelligenceRobot、TransportationSysterms、PowerSystemsandsoon,doingsomeresear

3、chonitsdynamicbehaviorsandcontrolproblemshasanimportantmeaning.Inthispaper,ourworkmainlyfocusoncontrollerdesignofswitchedlinearsystems,fuzzymodelingofswitchednonlinearsystemsanditscorrespondingcontrollerdesign.Ourresearchmainlyfoucsonfourkindsofsystems:⑴Exponentialstabilityandasynch

4、ronousstabilizationofswithedlinearsystems;⑵ExponentialstabilityandasynchronousstabilizationofswitchednonlinearsystemviaT-Sfuzzymodel;⑶ExponentialstabileanalysisandHcontrollerdesignofdiscrete-timeswitchedfuzzysystemswithtime-varyingdelays;⑷ExponentialstabileanalysisandHcontrollerde

5、signofcontinuous-timeswitchedfuzzysystemswithtime-varyingdelays.1.Forcontinuous-timeswitchedlinearsystemunderminimumdwelltimeandbasedonPiecewiseLyapunovtheory,wehaveanalyzedexponentialstabilityandasynchronousstabilizationproblemsrespectively.2.BasedonLyapunovtheoryandT-Sfuzzymodel,w

6、egetaclassofswitchedfuzzysystems.BasedonthesamePiecewiseLyapunovtheory,wehaveanalyzeexponentialstabilityandasynchronousstabilizationproblemsrespectively.3.Forswitchednonlinearsystems(bothdiscrete-timeandcontinuous-time)withtime-varyingdelays.BasedonT-Sfuzzymodel,wegetswitchedfuzzysy

7、stemswithtime-varyingdelays.AndBasedonaveragedwelltimemethodandthepiecewisefuzzyLyapunov-Krasovskiifunctional,wegottheexponentialstabilityandHcontrollerdesignresultsofthesekindsofswitchedfuzzysystems.AlltheconditionresultsareII万方数据ABSTRACTgivenintheformofLMIs.Keywords:T-Sfuzzymodel

8、,switchedsystems,H