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1、CommunNonlinearSciNumerSimulat17(2012)1107–1116ContentslistsavailableatSciVerseScienceDirectCommunNonlinearSciNumerSimulatjournalhomepage:www.elsevier.com/locate/cnsnsShortcommunicationNoveldesignofadaptiveneuralnetworkcontrollerforaclassqofnon-affinenonlinearsystemsShenQikun,ZhangTianping⇑CollegeofI
2、nformationEngineering,YangzhouUniversity,Yangzhou225009,PRChinaarticleinfoabstractArticlehistory:Thetrackingcontrolproblemisstudiedforaclassofuncertainnon-affinesystems.BasedReceived4December2009ontheprincipleofslidingmodecontrol(SMC),usingtheneuralnetworks(NNs)andtheReceivedinrevisedform1April2011pr
3、opertyofthebasisfunction,anoveladaptivedesignschemeisproposed.AnovelLyapu-Accepted1August2011novfunction,whichdependsonbothsystemstatesandcontrolinputvariable,isusedforAvailableonline23August2011thedevelopmentofthecontrollawandtheadaptivelaw.Theapproachovercomesthedrawbackintheliterature.Inaddition,
4、thelumpeddisturbancesaretakeninaccount.ByKeywords:theoreticalanalysis,itisprovedthattrackingerrorsasymptoticallyconvergetozero.Non-affinenonlinearsystemsFinally,simulationresultsdemonstratetheeffectivenessoftheproposedapproach.AdaptivecontrolNNsÓ2011ElsevierB.V.Allrightsreserved.1.IntroductionOverthe
5、pasttwodecades,stabilityanalysisandstabilizationofnonlinearsystemshavebeendevelopedsuccessfully,andmanyexcellentresultshavebeenobtained[1–12].Speakingingeneral,accordingtothesystemswithorwithouttheactu-atornonlinearity,theconsideredsystemscanbedividedintotwoparts:thehealthysystemsandthefaultysystems
6、.In[1–3],variablefuzzycontrollerswereproposedforthenonlinearhealthysystems.Foraclassofinterconnectedsystems,theprob-lemofstablefuzzycontrolwasstudied,andadesignschemeofanadaptivefuzzycontrollerwasproposedunderthecon-ditionthatthecontrolinputshouldbelinear[4].However,actuatornonlinearity,suchasdead-z
7、one,nonlinearinput,andsoon,isquitecommoninpracticesystemsanddevises.Theexistenceofactuatornonlinearityrendersthecontrolproblemmuchmorecomplexanddifficult,andmightleadtothecontrolledsystemsinstability.D
