26179.分數(shù)階系統(tǒng)的靜態(tài)輸出反饋控制器和濾波器的設計

1、4V坐縣?Ji?密級：無UDC單位代碼：10118山西師范大學研究生碩士學位論文分數(shù)階系統(tǒng)的靜態(tài)輸出反饋控制器和濾波器的設計馬瑞青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曰論文答辯日期2014年5月18日學位授予單位山西師范大學學位授予日期2014年月曰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3月31日IITit

2、le:TheProblemofDesigningStaticOutputFeedbackControllerFilterfFractionalderSystemsMaj:OperationalResearchCybericsName:MaRuiqingSignature:____Supervis:AssociateProfessWangCuihongSignature:____AbstractRecentlyfractionalderc

3、ontrolsystemsconcernedasanewresearchfieldhavecausedconsiderableinsystemscontrolfield.Atpresentthestudyoffractionaldercontrolsystemsisstillitsinitialstages.Thedesigningproblemofcontrollerffractionaldersystemsisstillrarely

4、.Thepaperstudiestheproblemofdesigningstaticoutputfeedbackcontrollerfilterfpositivefractionalcontinuoustimelinearsystemsobserverbasedstatefeedbackcontrollerffractionalcontinuoustimelinearsystems.Themaincontributionsachiev

5、ementsofthispaperaredetailedbelow:(1)Theproblemofdesigningthestaticoutputfeedbackcontrollerfthepositivefractionalcontinuoustimelinearsystemswiththefractionaldera:the1a2caseisinvestigated.Firstlybasedonasystemaugmentation

6、approachanovelcharacterizationonthestableconditionoftheclosedloopsystemisestablished.Thenthedesigningmethodfstaticoutputfeedbackcontrollerispresented.Atlastanumericalexampleisshowntoillustratethefeasibilityoftheproposedm

7、ethod.(2)TheproblemofdesigningH⑷filterfthepositivefractionalcontinuoustimelinearsystemswiththefractionaldera:the1a2caseisinvestigated.Firstlybasedonasystemaugmentationapproachanovelnecessarysufficientconditiononasymptoti

8、callystableH⑷perfmanceoftheerrsystemisestablished.ThenthedesigningmethodfH^filterispresented.Atlastanumericalexampleisshowntoillustratethefeasibilityoftheproposedmethod.(3)ThisproblemofobserverbasedH⑷statefeedbackcontrol

9、lerfthefractionalcontinuoustimelinearsystemswiththefractionaldera:the1a2caseisinvestigated.AsufficientconditionftheasymptoticallystableH⑴perfmanceofthecloseloopsystemispresented.Basedonthematrixssingularvaluedecompositio