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1、2013AmericanControlConference(ACC)Washington,DC,USA,June17-19,2013StateandParameterEstimationforNonlinearSystems:aTakagi-SugenoApproachSouadBezzaoucha,Beno?tMarx,DidierMaquin,Jose′RagotAbstract—Themaincontributionofthispaperistoproposemeasurable(asthesyst
2、emoutput),known(asthesystemasystematicapproachtoobserverdesignforTakagi-Sugenoinput)orunmeasurable(asthesystemstate).Theweighting(T-S)time-varyingsystems.Theproposedprocedureisbasedfunctionsμi(ξ(t))ofthersubmodelssatisfytheconvexsumonthesectornonlinearity
3、approachusingtheconvexpolytopicpropertytransformation.Theexactwritingofthetime-varyingnonlinear?systemasaT-Smodelallowstoprovideastateandparameterr?estimation.∑μi(ξ(t))=1(2)IndexTerms—Time-varyingnonlinearsystems,Takagi-?i=1Sugenomodels,sectornonlinearity
4、approach,convexpolytopic0≤μi(ξ(t))≤1,i=1,...,rtransformation,stateandparameterobserver,linearmatrixThisrepresentationisveryinterestinginthesensethatinequality.itsimpli?esthemathematicalmanipulationcomparedtoI.INTRODUCTIONtheoriginalnonlinearmodel.Itallows
5、toextendtheuseofsometoolsdevelopedinthelinearframeworktotheTheobserverdesignfornonlinearsystemscanbeviewednonlinearsystems,forthestabilitystudy,thecontroldesignastheheartofsystemcontrolandmodel-baseddiagnosis[5],andobserversynthesis.[2].Unfortunately,thei
6、ntroductionoftime-varyingparam-Asystematicproceduretotransformanonlinearsystembyetersinthesystemmodels,neededtoaccuratelyrepresentrewritingitintoaT-Sform,withoutanylossofinformationthesystembehaviour,leadstomorechallengingproblemsinisknownasthesectornonli
7、nearitytransformation(SNT)estimation.[13],[9].ThistransformationadvantageistobeanalyticalInthepresentwork,afocusismadeonthetime-varyingandsystematic.Basedonthenonlinearequationsoftheparametersystems,wheretheparametervariationsareinac-originalmodel,aquasi-
8、LinearParameterVarying(quasi-cessible(nonmeasurable)andmaybeusedasmodelfaultsLPV)iswritten.Thelocalmodelsofthisformarestate(actingasdisturbancesor/anduncertainties).Inthiscase,aandcontrolinputaf?ne,however,thisrepre
