Robust adaptive intelligent sliding model control for a class of uncertain chaotic systems with unknown time-delay

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1、NonlinearDyn(2012)67:22252240DOI10.1007/s11071-011-0141-0ORIGINALPAPERRobustadaptiveintelligentslidingmodelcontrolforaclassofuncertainchaoticsystemswithunknowntime-delayYousefFarid·NooshinBigdeliReceived:8December2010/Accepted:15June2011/Publishedonline:22July2011©SpringerScience+Bus

2、inessMediaB.V.2011AbstractInthispaper,arobustadaptiveintelligentKeywordsChaoticsystems·Adaptivecontrol·LKslidingmodelcontrol(RAISMC)schemeforaclassfunctional·Unknowntime-delay·Neuro-fuzzyofuncertainchaoticsystemswithunknowntime-delaynetworkisproposed.Aslidingsurfacedynamicisappropri-

3、atelyconstructedtoguaranteethereachabilityofthespecifiedslidingsurface.Withinthisscheme,neuro-1Introductionfuzzynetwork(NFN)isutilizedtoapproximatetheunknowncontinuousfunction.TherobustcontrollerisOvertherecentdecades,theexistenceofchaoshasanadaptivecontrollerusedtodispeltheunknownun-

4、beendiscoveredandreportedindifferentaspectsofcertaintyandapproximationerrors.Theadaptivepa-scienceandtechnology,suchaselectricalcircuits,rametersofthecontrolsystemaretunedon-linebychemicalreactions,optics,lasers,neuralnetworks,thederivedadaptivelawsbasedonaLyapunovstabil-andECGsignal

5、s[15].Chaoscontrolandsynchro-ityanalysis.UsingappropriateLyapunovKrasovskiinizationmethodswerefirstaddressedbyOttetal.(LK)functionalintheLyapunovfunctioncandidate,[6]andPecoraandCarroll[7]inthebeginningoftheuncertaintycausedbyunknowntimedelayiscom-the1990s.Uptonow,differenttechniquesa

6、ndmeth-pensatedandtheglobalasymptoticstabilityoftheer-odshavebeenproposedtoachievechaoscontrol.Forrordynamicssysteminthespecifiedswitchingsur-instance,backsteppingcontrol,optimalcontrol,im-faceisaccomplished.Finally,theproposedRAISMCpulsivecontrol,robustcontrolmethods,adaptivecon-syst

7、emisappliedtocontrolaHopfieldneuralnet-trol,variablestructuremethods,neuralnetworkcon-work,Cellularneuralnetworks,Rösslersystem,andtrolmethods,andsoon[814].toachievesynchronizationbetweentheChensystemAsmanyotherengineeringsystems,nonlinearwithtwotimedelayswithRösslersystemwithoutplant

8、smayexperien