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1、IEEETRANSACTIONSONFUZZYSYSTEMS,VOL.21,NO.4,AUGUST2013761ShortPapersRelaxationTechniqueforaTSFuzzyControlhavebeendeveloped(see,e.g.,[4],[6],[13],[18],and[20]),butitisDesignBasedonaContinuous-TimeFuzzyconsiderablycomplicatedtodevelopanavailablerelaxationtechniqueWeighting-Dependent
2、LyapunovFunctionfortheFWLF-basedcontrolsynthesisofcontinuous-timeTSfuzzysystemsduetothepresenceofthetimederivativesoffuzzyweightingSungHyunKimfunctions,whichisdifferentfromthediscrete-timecase.Thus,quiterecently,progressinresearchhasbeenmadetowardsolvingsuchaproblem,whosemainidea
3、istosimplifythederivedstabilizationcon-AbstractBasedonthefuzzyweighting-dependentLyapunovfunction,ditiontobeindependentofthederivativesbythesubstitutionoftheirthispaperproposesamethodtodrivetherelaxedstabilizationconditionupperbounds(see,e.g.,[3],[16],and[17]).However,theconserva
4、tismforcontinuous-timeTakagiSugeno(TS)fuzzycontrolsystemswithoutresortingtoeliminationandboundingtechniques.Here,toachieveanim-stillremainsintheaforementionedstudies,sincetheconvexityoffuzzyprovedrobustH∞performancewhileenhancingtheinteractionsamongweightingfunctionsisnotfullyinc
5、orporatedintherelaxationprocess.thefuzzysubsystems,thispaperproposesavaluablerelaxationtechniqueThus,in[26]anexcellentmethodisproposedtoderivearelaxedstabi-thatiscapableofincorporatingthederivativesoffuzzyweightingfunc-lizationcondition,especiallybasedontheeliminationlemmaandthet
6、ionstotherelaxationprocess.Finally,threeexamplesaregiventoverifytheeffectivenessoftheproposedmethod.relaxationprinciple(calledtheboundingtechniqueinthispaper).However,itisworthnoticingthattheuseoftheeliminationlemmaIndexTermsContinuous-timeTakagiSugeno(TS)fuzzysystems,makesitimpo
7、ssibletocharacterizethefuzzycontrolgainsintermsoffuzzyweighting-dependentLyapunovfunction,relaxationtechnique.thesolutiontoasetofLMIs.Furthermore,theuseoftherelaxationprincipleresultsinagreatincreaseinthecomputationalcomplexity.Motivatedbytheaforementionedconcerns,thispaperfirstpr
8、oposesI.INTRODUCTIONavaluablerelaxationt
