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1、第20卷第2期控制理論與應(yīng)用Vol.20No.22003年6月ControlTheory&ApplicationsApr.2003ArticleID:1000-8152(2003)02-0269-04Observer_basedrobustfuzzycontrolofnonlinearsystemswithparametricuncertaintiesTONGShao_cheng,ZHANGXin_zheng(1.DepartmentofBasicMathematics,LiaoningInst
2、ituteofTechnology,LiaoningJinzhou121001,China;2.AutomationResearchInstitute,GuangdongPolytechnicUniversity,GuangdongGuangzhou510090,China)Abstract:Thispaperaddressestherobustfuzzycontrolproblemfornonlinearsystemsinthepresenceofparametricuncer-taintie
3、sandthestatevariablesunavailableformeasurement.SufficientconditionsarederivedforrobuststabilizationinthesenseofLyapunovasymptoticstabilityandareformulatedintheformatoflinearmatrixinequalities(LMIs).Theeffectivenessoftheproposedfuzzycontrollerandfuzzyob
4、serverdesignmethodologyisfinallydemonstratedthroughnumericalsimulationsonanin-vertedpendulumsystem.Keywords:fuzzycontrol;robustcontrol;fuzzyobserver;parametricuncertainty;robuststability;linearmatrixinequalityCLCnumber:TP273Documentcode:A基于觀測器的參數(shù)不確定
5、非線性系統(tǒng)的模糊魯棒控制12佟紹成,張新政(1遼寧工學(xué)院基礎(chǔ)部,遼寧錦州121001;2廣東工業(yè)大學(xué)自動化研究中心,廣東廣州510090)摘要:對一類非線性系統(tǒng)進(jìn)行模糊建模及其模糊觀測器設(shè)計(jì),研究了在系統(tǒng)的狀態(tài)不可測且存在參數(shù)不確定的模糊魯棒控制問題,以線性矩陣不等式的形式給出了模糊控制系統(tǒng)具有李雅普諾夫意義下穩(wěn)定的充分條件,最后把所提出的方法應(yīng)用到倒立擺系統(tǒng)進(jìn)行仿真,仿真結(jié)果驗(yàn)證了該控制方法的有效性.關(guān)鍵詞:模糊控制;魯棒控制;模糊觀測器;參數(shù)不確定;魯棒鎮(zhèn)定;線性矩陣不等式[2]1In
6、troductionmanypublicationstodealwiththesameproblem.InRecently,stabilityanalysisandsystematicdesignarepracticalsituation,however,notallstatesareavailable,amongthemostissuesforfuzzycontrolsystems.Thereandtheoutputfeedbackcontroldesignbecomesneces-[3,4]h
7、avebeensignificantresearcheffortsontheseissues.sary.Recently,someresearchersstudiedfuzzyob-Withthedevelopmentoffuzzysystems,itisknownthatserverdesignforT-Sfuzzy_model_basedcontrolsys-qualitativeknowledgeofasystemcanalsoberepresent-tems,andprovedthatast
8、atefeedbackcontrollerwithedinthenonlinearfunctionalform.Onthebasisofthistheobserveralwaysyieldsastabilizingoutputfeedbackidea,fuzzymodelbasedcontroldesignmethodshavecontrollerprovidedthatthestabilizingpropertyofthebeenproposedinfuzzycon
