简介:Somenewcriteriaforthechaoticlagsynchronizationareproposed.Atfirst,lagsynchronizationschemeforidenticalmaster-slaveLur'esystemsbyreplacingvariablescontrolandtherelevanterrorsystemaregiven,andtherelationsbetweenabsolutestabilityoftheerrorsystemandthechaoticlagsynchronizationaredescribed.Then,basedonaquadraticLyapunovfunction,twonewLur'ecriteriafortheabovechaoticlagsynchronizationareproved.FourcorrespondingfrequencydomaincriteriaarefurtherderivedbymeansofMeyer-Kalman-YacuboviaLemma.Thesefrequencydomaincriteriaareappliedtoanalyzethelagsynchronizationofgeneralmaster-slaveChua'scircuitssothatsomerangesoftheparametersinwhichthemaster-slaveChua'scircuitsachievechaoticlagsynchronizationbyreplacingsingle-variablecontrolareattained.Finally,someexamplesaregiventoverifythetheoreticalresults.
简介:NecessaryandsuffcientconditionsfortheexistenceofaLyapunovfunctionintheLur'eformtoguaranteetheabsolutestabilityofLur'econtrolsystemswithmultiplenon-linearitiesarediscussedinthispaper.Itsimplifiestheexistenceproblemtooneofsolvingasetoflinearmatrixinequalities(LMIs).IfthoseLMIsarefeasible,freeparametersintheLyapunovfunction,suchasthepositivedefinitematrixandthecoefficientsoftheintegralterms,aregivenbythesolutionoftheLMIs.Otherwise,thisLyapunovfunctiondoesnotexist.Somesufficientconditionsarealsoobtainedfortherobustabsolutestabilityofuncertainsystems.Anumericalexampleisprovidedtodemonstratetheeffectivenessoftheproposedmethod.
简介:Theaimofthispaperistostudythepracticalф0-stabilityinprobability(Pф0SiP)andpracticalф0-stabilityinpthmean(Pф0SpM)ofswitchedstochasticnonlinearsystems.Sufficientconditionsonsuchpracticalpropertiesareobtainedbyusingthecomparisonprincipleandthecone-valuedLyapunovfunctionmethods.Also,basedonanextendedcomparisonprinciple,aperturbationtheoryofswitchedstochasticsystemsisgiven.
简介:Thispaperpresentsareal-timemechanismtotoleratefaultsoccurringinawindturbine(WT)system.ThissystemiscomposedofaFASTcodedsimulatordesignedbytheU.S.NationalRenewableEnergyLaboratory.Thedemonstratedmechanismliesunderthetaxonomyofactivefault-tolerantcontrol(FTC)systems,namelyonlineredesignbasedapproach.Intheproposedapproach,wedonotuseanyaprioriinformationaboutthemodeloftheturbineinreal-time.Infact,weuseonlinemeasurementsgeneratedbytheWT.Basedonthegivencontrolspecifications,andtheobservedmeasurementanoccurredfaultisaccommodatedbyreconfiguringtheonlinecontrollersuchthattheWTgeneratesratedpowerevenunderfaultyconditions.Second,noexplicitfaultdiagnosis(FD)moduleisusedinthisapproach.Asaresult,issuesofmodeluncertainty,falsealarms,etc.associatedwithanintegratedFDandcontrollerreconfigurationapproachtoFTCsystemsarenotexperiencedhere.