Razumikhin-Nussbaum-lemma-based adaptive neural control for uncertain stochastic pure-feedback nonlinear systems with time-varying delays

Razumikhin-Nussbaum-lemma-based adaptive neural control for uncertain stochastic pure-feedback nonlinear systems with time-varying delays

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1、INTERNATIONALJOURNALOFROBUSTANDNONLINEARCONTROLInt.J.Robust.NonlinearControl2013;23:12141239Publishedonline22March2012inWileyOnlineLibrary(wileyonlinelibrary.com).DOI:10.1002/rnc.2816RazumikhinNussbaum-lemma-basedadaptiveneuralcontrolforuncertainstochasticpure-feedbacknonlinearsyste

2、mswithtime-varyingdelaysZhaoxuYu1,ShugangLi2andHongbinDu1,*,1DepartmentofAutomation,EastChinaUniversityofScienceandTechnology,Shanghai200237,China2DepartmentofIndustrialEngineeringandLogistics,ShanghaiJiaoTongUniversity,Shanghai200240,ChinaSUMMARYThispaperaddressestheproblemofadapti

3、veneuralcontrolforaclassofuncertainstochasticpure-feedbacknonlinearsystemswithtime-varyingdelays.Majortechnicaldif?cultiesforthisclassofsystemsliein:(1)theunknowncontroldirectionembeddedintheunknowncontrolgainfunction;and(2)theunknownsystemfunctionswithunknowntime-varyingdelays.Base

4、donanovelcombinationoftheRazumikhinNussbaumlemma,thebacksteppingtechniqueandtheNNparameterization,anadaptiveneuralcontrolscheme,whichcontainsonlyoneadaptiveparameterispresentedforthisclassofsystems.Allclosed-loopsignalsareshowntobe4-Momentsemi-globallyuniformlyultimatelyboundedinaco

5、mpactset,andthetrackingerrorcon-vergestoasmallneighborhoodoftheorigin.Finally,twosimulationexamplesaregiventodemonstratetheeffectivenessoftheproposedcontrolschemes.Copyright?2012JohnWiley&Sons,Ltd.Received14January2011;Revised16February2012;Accepted20February2012KEYWORDS:stochasticn

6、onlinearsystem;adaptivecontrol;neuralnetwork;RazumikhinNussbaumlemma;time-varyingdelay1.INTRODUCTIONTheexistenceoftimedelayisfrequentlyasourceofinstabilityinvarioussystems,forexample,intheturbojetengines,microwaveoscillators,nuclearreactors,networksystem,andsoon.Hence,theproblemofst

7、abilityanalysisandrobustcontrolfortime-delaysystemshasbeenoneofthemaincon-cernsofresearcherswishingtoinspectthepropertiesofsuchsystems[13].Robustcontrolproblemofuncertainnonlineartime-delaysystemshasreceivedlotsofattentions[410].Moreover,adaptiveneuralnetworkcontrolmethod[57]oradapt

8、ivefuzzycontrolmeth

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