Adaptive fuzzy control for a class of nonlinear time-delay systems with unknown control direction

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1、Proceedingsofthe29thChineseControlConferenceJuly29-31,2010,Beijing,ChinaAdaptiveFuzzyControlforaClassofNonlinearTime-delaySystemswithUnknownControlDirection∗111211LIXiaoqiang,WANGDan,YAOYubin,LANWeiyao,PENGZhuohua,SUNGang1.MarineEngineeringCollege,DalianMaritimeUniversity,Dalian1

2、16026,P.R.China.E-mail:sxxqli@126.com2.DepartmentofAutomation,xiamenUniversity,Xiamen361005,P.R.China.Abstract:Afuzzyrobustadaptivecontroldesignschemeisdevelopedforaclassofuncertainnonlinearsystemrepresentedbyinput-outputmodelswithtime-delay.TheControlDirectionofthesystemisunknow

3、n.Byon-lineapproximatingtheunknownnonlinearfunctionswithfuzzylogicsystemsandusingNussbaumcontrolgaintechnique,thecontrollawandtheupdatelawareconstructed.BasedontheLyapunovstabilitytheory,itisprovedthatwiththeproposedcontrollawandupdatelaws,theclosed-loopsystemisguaranteedtobestab

4、leandthetrackingerrorconvergeswithadesiredprecision.Asimulationexampleispresentedtodemonstratethemethod.KeyWords:FuzzyControl,Time-delaySystem,UnknownControlDirection1INTRODUCTIONthegainsignisunknown,thestabilityproblemismoredif-ficult.Nussbaumcontrolgaintechniquewasfirstintroduced

5、Duringthelastdecades,agreatdealofprogressinthein[8]andithasbeenusedtosettlethecontrolproblemofev-feedbackcontrolofnonlinearsystemshasbeenachieved.Aterykindofthesystemwiththeunknowncontrolgainwhosethesametime,fuzzylogicsystemshavebeenfoundtobean[9-12]signisnotknown.usefultoolforso

6、lvingthenonlinearsystemcontrolproblems[1-3]Anotherchallengingproblemincontrolofnonlinearsys-withuncertaintyorun-modelleddynamics.Adaptivetemsistime-delay.Thecontrolproblemandthestabilitycontrolfornonlinearsystemswithparameteruncertaintyand[4-7]analysisofthesystemswithtime-delayar

7、edifficult.How-uncertainnonlinearityarestudiedbymanyresearchers.ever,time-delaycharacteristicsarefrequentlyencounteredIn[4],anadaptivefuzzycontrollerisdevelopedforaclassinvariousengineeringsystemssuchasinrecycledreactors,ofnonlinearsystemswithuncertainty.Thenonlinearsys-recycledst

8、oragetanks,nuclearreactors,rollingmillsa