Observer-based model reference adaptive control for unknown time-delay chaotic systems with input nonlinearity

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1、NonlinearDyn(2012)67:13371356DOI10.1007/s11071-011-0072-9ORIGINALPAPERObserver-basedmodelreferenceadaptivecontrolforunknowntime-delaychaoticsystemswithinputnonlinearityHassanAdloo·NavidNoroozi·PaknoshKarimaghaeeReceived:7November2010/Accepted:4May2011/Publishedonline:2June

2、2011©SpringerScience+BusinessMediaB.V.2011AbstractExistenceofunknowntime-delayintheKeywordsChaoscontrol·Modelreferenceadaptivesystemsisadrasticrestrictionthatitcanmenacethecontrol·Observer-basedsystem·Dead-zoneandstabilitycriteriaandevendeterioratetheperformancehysteresisn

3、onlinearitysystem.Thisundesiredcasewouldbemoreinten-sifiedifthattheuncertaininputnonlinearityeffectsarealsoconsidered.Tohandletheinputnonlineari-1Introductiontieseffects(resultsindead-zoneand/orhysteresisphe-nomena)andalsounknowntime-delayinthechaoticDuringpasttwodecades,pr

4、oblemofchaoscontrolhassystems,thispaperpresentsanobserver-basedModelgeneratedgreatdealinterestinginthecontrolcom-ReferenceAdaptiveControl(MRAC)schemeforamunity.Thiscomesfromthefactthatchaosphenom-classofunknowntime-delaychaoticsystemswithdis-enainsomepracticalsystemssuchas

5、gyroscopesandturbances.Thisnewmethodisadelay-independentplatesgeneratetheirregularoscillationswhichmayof-variable-structurecontrolmethodwhichisintegratedtencauseharminthesystems.However,havingbetterwithanobserversystem.Themaintaskofthepro-systemperformanceagainstthiscatast

6、rophicsituationrequiresmovingthestatetrajectorytoadesiredregionposedapproachistoaccomplishaperfecttrackingthroughthecontrolmethods.FromtheOttswork[1]proceduresuchthatunknownparametersareadaptedin1990asafirsteffortconcerningwiththechaoscon-viaoutputestimationerror.Furthermor

7、e,stabilityoftrol,manyresearchershavedevelopedcontrolmeth-theclosed-loopsystemisachievedbymeansoftheodsforvariouschaoticsystemsviadifferenttech-Lyapunovstabilitytheory.Finally,theproposedmeth-niques.Amongthem,robustcontrolmethod[2],adap-odsareappliedtosomefamouschaoticsyst

8、emstover-tiveobserver-basedapproach[3],slidingmodecon-ifytheeffectivenessoftheproposedmet