Stable adaptive fuzzy control of nonlinear systems using small-gain theorem and LMI approach

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摘要 Anewdesignschemeofstableadaptivefuzzycontrolforaclassofnonlinearsystemsisproposedinthispaper.TheT-Sfuzzymodelisemployedtorepresentthesystems.First,theconceptoftheso-calledparalleldistributedcompensation(PDC)andlinearmatrixinequality(LMI)approachareemployedtodesignthestatefeedbackcontrollerwithoutconsideringtheerrorcausedbyfuzzymodeling.SufficientconditionswithrespecttodecayrateαarederivedinthesenseofLyapunovasymptoticstability.Finally,theerrorcausedbyfuzzymodelingisconsideredandtheinput-to-statestable(ISS)methodisusedtodesigntheadaptivecompensationtermtoreducetheeffectofthemodelingerror.Bythesmall-gaintheorem,theresultingclosed-loopsystemisprovedtobeinput-to-statestable.Theoreticalanalysisverifiesthatthestateconvergestozeroandallsignalsoftheclosed-loopsystemsarebounded.TheeffectivenessoftheproposedcontrollerdesignmethodologyisdemonstratedthroughnumericalsimulationonthechaoticHenonsystem.
机构地区 不详
出版日期 2010年04月14日(中国期刊网平台首次上网日期,不代表论文的发表时间)
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