基于雙曲正切模型的離散系統(tǒng)H-,∞-控制.pdf

1、曲阜師范大學(xué)碩士學(xué)位論文基于雙曲正切模型的離散系統(tǒng)H控制姓名：李濤申請(qǐng)學(xué)位級(jí)別：碩士專(zhuān)業(yè)：運(yùn)籌學(xué)與控制論（控制論）指導(dǎo)教師：周紹生20050401AbstractThedissertationmainlydealswiththerobuststabilizationandtherobust鞏controlofuncertainnonlinearsystemswithHyperbolicmodelsThemainresultscanbel

2、istedasfollows：Inthefirstpart，wefocusontheproblemofstatefeedbackHacontrolforaclassofdiscretetimeuncertainsystemswithHyperbolicmodelsTheuncertaintiesareassumedtobeoflinearfractionalformwhichincludesthenorm—boundeduncertai

3、ntyasaspecialcaseByusingLyapunovfunctionwithPDDmatrix，asufficientLMIconditiononrobuststabilitywith日。。normboundisobtainedMoreover，astatefeedbackcontrollerisdevelopedtoguaranteetheclosed—loopsystembeingrobustlystableFinall

4、y，anumericalexampleisgiventodemonstratetheapplicabilityoftheproposedapproachInthesecondpart，westudytheproblemofoutputfeedbackcontrolforaclassofdiscrete—timeuncertainsystemswithHyperbolicmodelsTheuncertaintiesareassumedto

5、beofnorm—boundedformByusingLyapunovfunctionwithPDDmatrixandvariabletransformationasu儡cientconditiononrobuststabilityforthisclassoffuzzysystemsisderivedMoreover，arobustcontroldesignapproachisdevelopedFinallyanumericalexam

6、pleisgiventodemonstratetheapplicationoftheproposedapproachInthethirdpart，wedealwiththeproblemofoutputfeedbackHoocontrolforaclassofdiscrete—timeuncertainsystemswithHyperbolicmodelsTheuncertaintiesareassumedtobeoflinearfra

7、ctionalform，whichcandescribeaclassofrationalnonlinearitiesByusingthepropertythatnegativenessofamatrixisnotchangedwhenitsmaindiagonalblocksdecrease，anonlinearmatrixinequalitycanbetransformedintolinearmatrixinequalities(LM