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1、第3期齐春明,等:广义Delta算子系统的耗散性分析与控制43[8]LiuLi-ping,DongXin-zhuang,WangWa—nv.StateFeedbackRobustDissipativeControl{orSingularSystemswithAffineuncertainty[c]//2o11IEEE5thInternationalConferenceonCyberneticsandIntelligentSystems.Qingdao,ChinaIEEE,2O11:99—104.[9]毛青堂,董
2、心壮,田万虎.广义Delta算子系统的容许性条件:分析与综合Ec]//Proceedingsofthe10thWorldCongressonIntelligentControlandAutomation.Beijing,China:IEEE,2012:1870~1875.[1O]DongXinzhuang.AdmissibilityAnalysisofLinearSingularSystemsViaaDeltaOperatorMethod口].Internatiorm1.JournalofSystemsScie
3、nce,2013.769646.L11]毛青堂,董心壮,田万虎.广义Delta算子系统的状态反馈容许控制[J].青岛大学学报(工程技术版),2013,28(1):14—18.[12]田万虎,董心壮,毛青堂.广义Delta算子系统的无源性分析_J].青岛大学学报(32程技术版),2012,27(4):6—10.[13]DongXinzhuang,TianWanhu,MaoQingtang,eta1.RobustAdmissibilityAnalysisandSynthesisofUncertainSingular
4、SystemsViaDeltaOperatorApproach[c]//1OthIEEEInternationalConferenceonControl&Automation,Hangzhou,China:IEEE,2013:1059~1064.DissipativityAnalysisandControlofLinearSingularDeltaOperatorSystemsQIChun—ming,DONGXin—zhuang,LIULin(CollegeofAutomationEngineering,Qin
5、gdaoUniversity,Qingdao266071,China)Abstract:Aimingattheissueofsingulardiscretesystemsaboutdissipativityanalysisandcontrol,thispa—PerappliesadeltaoperatormethodtOstudyandanalyzethedissipativityofsingulardeltaoperatorsystem.weobtainanecessarYandsufficientcondi
6、tionthatmakesalinearsingulardeltaoperatorsystembeadmis—sm1eandstrictlydissipative.Astothesesingulardeltaoperatorsystemswithoutadmissibilityanddissipa—tivitv,asufficientconditionisderivedfortheexistenceofastatefeedbackstrictdissipativecontroller,andtheexDlici
7、texpressionofthecorrespondingcontrollerisalsopresented.ByusingMATLAB—LMItools,somenumerica1examplesareprovidedtodemonstratethefeasibilityandeffectivenessofthetheoreticalre—sults.Itturnsoutthattheclose—loopsystemisadmissibleandstrictlydissipative.Theseresults
8、suggestthatthedeltaoperatormethodmakesagoodapplicationintheresearchofsingulardiscretesystemsaboutdissipativity.ItprovidesanewwaytOresearchotherpropertiesofsingulardiscretesystem·Keywords:singula
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