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1、InformationSciences179(2009)1319–1332ContentslistsavailableatScienceDirectInformationSciencesjournalhomepage:www.elsevier.com/locate/insFuzzyadaptivebacksteppingrobustcontrolforSISOnonlinearsystemwithdynamicuncertaintiesa,*a,*bShaochengTong,YongmingLi,PengShi
2、aDepartmentofBasicMathematics,LiaoningUniversityofTechnology,Jinzhou,Liaoning121001,ChinabFacultyofAdvancedTechnology,UniversityofGlamorgan,Pontypridd,CF371Dl,UnitedKingdomarticleinfoabstractArticlehistory:Inthispaper,afuzzyadaptivebacksteppingdesignprocedure
3、isproposedforaclassofReceived11January2008nonlinearsystemswiththreetypesofuncertainties:(i)nonlinearuncertainties;(ii)Receivedinrevisedform11December2008unmodeleddynamicsand(iii)dynamicdisturbances.ThefuzzylogicsystemsareusedtoAccepted3January2009approximatet
4、henonlinearuncertainties,nonlineardampingtermsareusedtocounteractthedynamicdisturbancesandfuzzyapproximationerrors,andadynamicsignalisintro-ducedtodominatetheunmodeleddynamics.Thederivedfuzzyadaptivecontrolapproachguaranteestheglobalboundednesspropertyforallt
5、hesignalsandstates,andatthesameKeywords:time,steerstheoutputtoasmallneighborhoodoftheorigin.SimulationstudiesareNonlinearsystemsFuzzyadaptivecontrolincludedtoillustratetheeffectivenessoftheproposedapproach.RobustcontrolÓ2009ElsevierInc.Allrightsreserved.Backs
6、teppingtechnique1.IntroductionSinceitsintroductionbyZadehin1965,fuzzytheoryhasreceivedmuchattentionfromvariousfieldsandalsodemon-stratedniceperformanceinvariousapplications.Oneofthosesuccessfulfuzzyapplicationsistomodelunknownnonlinearsystemsbyasetoffuzzyrules
7、.Oneimportantpropertyoffuzzymodelingapproachisthatitisuniversalapproximates.Inotherwords,fuzzysystemscanbeusedtomodelvirtuallyanynonlinearsystems[7,17]withinarequiredaccuracyprovidedthatenoughrulesaregiven.Basedontheuniversalapproximationtheoremandbyincorpora
8、tingfuzzylogicsystemsintoadaptivecontrolschemes,thestablefuzzyadaptivecontrollersarefirstproposedbyWang[23].Afterwards,variousadaptivefuzzycontrolapproachesfornonlinearsystemshavebeendevel
