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1、914IEEETRANSACTIONSONCIRCUITSANDSYSTEMS—I:FUNDAMENTALTHEORYANDAPPLICATIONS,VOL.50,NO.7,JULY2003AnOutputFeedbackControllerDesignforLinearSystemsSubjecttoSensorNonlinearitiesYong-YanCao,SeniorMember,IEEE,ZongliLin,andBenM.Chen,SeniorMember,IEEEAbstract—Inthispaper,theoutputfeed
2、backcontrollertemssubjecttosensornonlinearity.Inparticular,wewillfocusdesignproblemisaddressedforlinearsystemssubjecttosensorontheoutputfeedbackcontrollerdesignforlinearsystemsnonlinearity.First,theexistenceconditionofanoutputfeedbackwithsensorsectornonlinearity.Wewillpresent
3、anLMIcondi-controllerisderivedforsystemswithsensorsectornonlinearity.Adesignmethodfortheoutputfeedbackcontrollerisproposedtionunderwhichthesystemwithsensorsectornonlinearitiesisusingalinear-matrixinequality(LMI)basedapproach.Theresultstabilizable.Adesignmethodforthegloballyst
4、abilizingisthenappliedtothedesignofaregionaloutputfeedbackoutputfeedbackcontrollawswillbeproposedbyanLMIcontrollerforthesystemssubjecttosensorsaturation.AnLMIop-optimizationbasedapproach.Theseresultswillthenbeappliedtimizationbasedapproachisproposedtocomputingthefeedbackmatri
5、cesoftheregionaloutputfeedbackcontroller.Atlasttodesigntheregionalcontrollerforlinearsystemssubjectanumericalexampleispresentedtoshowtheeffectivenessofthetosensorsaturation.Ourmethodwasmotivatedby[3],whereresults.anexplicitcontrollercomputingformulationwasproposedforIndexTerm
6、s—Linearsystems,sectornonlinearity,sensorsatu-linearsystemsbasedontheLMIoptimizationapproach.ration,control,2gain.WenotethatoutputfeedbackcontrolinthecontextoflinearsystemssubjecttoactuatorsaturationhasalreadyI.INTRODUCTIONbeenaddressedbyseveralauthors.Inparticular,KapilaandH
7、addad[9]consideredthefixed-structurecontrollerdesignNFEEDBACKcontrolsystems,feedbackdevicenon-problem.NguyenandJabbari[15]studiedtheoutputfeedbackIlinearities,includingactuatorandsensorsaturation,arisedisturbanceattenuationproblemforlinearsystemssubjecttofrequently.Theycansev
8、erelydegradetheclosed-loopsystemactuatoramplitudeandratesaturationus
