26163.分數(shù)階奇異系統(tǒng)h∞控制器的設計

1、分類號：密級：無UDC:單位代碼：10118iO!智山西師范大學研究生碩士學位論文分數(shù)階奇異系統(tǒng)H⑴控制器的設計冀鵬嬌指導教師姓名王翠紅副教授山西師范大學數(shù)學與計算機科學學院申請學位級別理學碩士專業(yè)名稱運籌學與控制論_____________論文提交日期2014年3月31日論文答辯日期2014年5月18曰學位授予單位山西師范大學學位授予日期2014年月日答辯委員會主席張勤海教授評閱人黃天民教授賈新春教授2014年月日IITitle:H⑴

2、ControlofFractionalderSingularSystemsMaj:OperationsResearchCybericsName:PengjiaoJiSignature:Supervis:AssociateProfessCuihongWangSignature:AbstractFractionalordersystemsarerepentedbydifferentialequationswithnonintegerorde

3、r.Ithasbeenfoundthatthebehaviorofmanyphysicalsystemscanbemoreproperlydescribedbyfractionalordersystemsthanintegerordermodels.Singularsystemisakindofsystemwhichhasmoreextensiveformthananormalsystem.Forsingularsystemthesta

4、tespacemodelisthecombinationofalgebraicexpressionanddifferentialexpressionwhichdescribethedynamiccharacteristicsandthestaticrelationshipofthestatevariables.Nowmanyscholarsstudythefractionalordersystemandtherehavebeenmany

5、resultsbutthestudyoffractionalordersingularsystemisstillintheprimarystage.Inthispapercontrolproblemsforfractionalordersingularsystemsintervalandpolytopeuncertaintyfractionalordersingularsystemsarestudied.Thecontentsareas

6、follows:1)H⑷controlproblemforfractionalordersingularsystemsisstudied.Firsttheboundedreallemmaoffractionalordersingularsystemsispresentedandthelemmagiveanecessaryandsufficientconditionwhichensurethestabilityoffractionalor

7、dersingularsystemandsatisfyH⑷normconditionthenH⑷outputfeedbackcontrollerforfractionalordersingularsystemsisdesigned.Finallyanexampleisusedtodemonstratethevalidityoftheresult.2)H⑷controlproblemforintervalfractionalordersi

8、ngularsystemsisstudied.ThispartpresentsanecessaryandsufficientconditionwhichensuretheexistenceofH⑷controlproblemforintervalfractionalordersingularsystemsandH⑷staticfeedbackcontrollerparametersforintervalfractionalordersi

9、ngularsystemsisdesigned.Finallyanexampleisusedtodemonstratethevalidityoftheresult.3)H⑷controlproblemforpolytopeuncertaintyfractionalordersingularsystemsisstudied.Fromtheboundedreallemmaoffractionalordersingularsystemsasu