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1、Neurocomputing74(2010)369–378ContentslistsavailableatScienceDirectNeurocomputingjournalhomepage:www.elsevier.com/locate/neucomObserver-basedfuzzyadaptiverobustcontrolofnonlinearsystemswithtime$delaysandunmodeleddynamicsnShaochengTong,YongmingLiDepartmentofMathematics,LiaoningUniversityofTe
2、chnology,Jinzhou121001,ChinaarticleinfoabstractArticlehistory:Inthispaper,anadaptivefuzzyoutputfeedbackbacksteppingcontrolapproachisdevelopedforaclassReceived28October2009ofnonlineartime-delaysystemswithunmeasuredstatesandunmodeleddynamics.UsingfuzzylogicReceivedinrevisedformsystemstoappro
3、ximateunknownnonlinearfunctions,afuzzystateobserverisdesignedforestimating12January2010theunmeasuredstates.BycombiningadaptivebacksteppingtechniquewithadaptivefuzzycontrolAccepted24March2010designandusingchangingsupplyingfunctionidea,anobserver-basedadaptivefuzzybacksteppingCommunicatedbyH
4、.Zhangcontrolapproachisdeveloped.ItisprovedthattheproposedadaptivefuzzycontrolapproachisabletoAvailableonline4May2010guaranteethatallthesignalsintheclosed-loopsystemaresemigloballyuniformlyultimatelyboundedKeywords:(SUUB)andtheoutputofthecontrolledsystemconvergestoasmallneighborhoodoftheor
5、igin.Nonlineartime-delaysystemsSimulationresultsareprovidedtoshowtheeffectivenessoftheproposedapproach.Unmodeleddynamics&2010ElsevierB.V.Allrightsreserved.FuzzylogicsystemsStateobserverAdaptiveoutputfeedbackcontrolBacksteppingdesignStabilityanalysis1.Introductionstabilityordegradetheperfor
6、manceofthecontrolledsystems.Therefore,thestabilityanalysisandcontrollersynthesisofInrecentyears,withthedevelopmentofbacksteppingnonlineartime-delaysystemsareimportantbothintheoryandtechnique,adaptivefuzzycontroltheoryandmethods[1–8],applications.ByusingtheLyapunov–Razumikhinfunctionsorthem
7、anyapproximator-basedadaptivefuzzybacksteppingcontrol-Lyapunov–Krasovskiifunctions,manyadaptivebacksteppinglershavebeendevelopedfornonlinearsystemsinstrict-feedbackstabilizingcontrolschemesaredevelopedin[17–20]fornon-form[9–16].Adaptivefuzzybacksteppingcontrol
