26163.分?jǐn)?shù)階奇異系統(tǒng)h∞控制器的設(shè)計(jì)

1、分類號(hào)：密級(jí)：無UDC:單位代碼：10118iO!智山西師范大學(xué)研究生碩士學(xué)位論文分?jǐn)?shù)階奇異系統(tǒng)H⑴控制器的設(shè)計(jì)冀鵬嬌指導(dǎo)教師姓名王翠紅副教授山西師范大學(xué)數(shù)學(xué)與計(jì)算機(jī)科學(xué)學(xué)院申請學(xué)位級(jí)別理學(xué)碩士專業(yè)名稱運(yùn)籌學(xué)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(xué)位授予單位山西師范大學(xué)學(xué)位授予日期2014年月日答辯委員會(huì)主席張勤海教授評(píng)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