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1、Neurocomputing93(2012)56–66ContentslistsavailableatSciVerseScienceDirectNeurocomputingjournalhomepage:www.elsevier.com/locate/neucomAdaptivefuzzyoutputfeedbackcontrolofMIMOnonlinearuncertainsystemswithtime-varyingdelaysandunknownbacklash-likehysteresisa,ba,nbYongmingLi,ShaochengTong,Tieshan
2、LiaDepartmentofBasicMathematics,LiaoningUniversityofTechnology,Jinzhou,Liaoning121001,PRChinabNavigationCollege,DalianMaritimeUniversity,Dalian,Liaoning116026,PRChinaarticleinfoabstractArticlehistory:Inthispaper,anadaptivefuzzybacksteppingoutputfeedbackcontrolapproachisdevelopedforaclassRec
3、eived13October2011ofmulti-inputandmulti-output(MIMO)nonlinearsystemswithtime-varyingdelaysandunknownReceivedinrevisedformbacklash-likehysteresis.Thefuzzylogicsystemsareusedtoapproximatetheunknownnonlinear22February2012functions,andanadaptivefuzzystateobserverisdesignedtoestimatetheunmeasure
4、dstates.ByAccepted28April2012utilizingtheadaptivefuzzyobserver,andcombiningthefuzzyadaptivecontroltheorywithback-Availableonline11May2012steppingapproach,anadaptivefuzzyoutputfeedbackcontrolapproachisdeveloped.TheproposedKeywords:controlapproachcanguaranteethatallthesignalsoftheclosed-loops
5、ystemaresemi-globallyMIMOtime-delaynonlinearsystemsuniformlyultimatelybounded(SUUB),andtheobservererrorandtrackingerrorareprovedtoconvergeFuzzylogicsystemstoasmallneighborhoodoftheorigin.TwosimulationexamplesareincludedtoillustratetheAdaptiveoutputfeedbackcontroleffectivenessoftheproposedap
6、proach.Backlash-likehysteresis&2012ElsevierB.V.Allrightsreserved.BacksteppingdesignStabilityanalysis1.Introductiondesign,atthesametimeiscomplexenoughtomitigatetheeffectsofrealhysteresis[31].Asoneofthemostimportantnon-smoothnonlinearities,Recently,someadaptivecontrolschemesfornonlinearsys-hy
7、steresisexistsinmanyphysicalsystemsanddevices.Itiswelltemswithbacklash-likehysteresishavebeenproposed.In[11],knownthatwhenaplantisprecededbyhysteresisnonlinearity,anadaptivestatefeedbackcontrolschemeofaclassofnonlinearthesystemmayexhibitundesirableproper