線性離散奇異系統(tǒng)的非脆弱H∞控制.pdf

1、山東大學(xué)碩士學(xué)位論文線性離散奇異系統(tǒng)的非脆弱H∞控制姓名：孫林申請學(xué)位級別：碩士專業(yè)：運(yùn)籌學(xué)與控制論指導(dǎo)教師：馮俊娥20110420山東大學(xué)碩士學(xué)位論文ABSTRACTResearchofsingularsystemsisintroducedandthenrobustandtimedelaytheoriesofwhicharegivenThesignificanceofresearchisindicatedandresearchback

2、groundisgivenbrieflyBasedontheoriesofnonfragileH∞r(nóng)obustcontrolandboundedreallemmaIproblemsofnonfragileH∞controlandnonfragileH∞r(nóng)obustcontrolalediscussedviamatrixinequalitiesforcasesofdiscretesingularsystemsanduncertaindis

3、cretesingularsystemsanduncertaindiscretesingularsystemswithtimedelay(1)Nonfragile比statefeedbackcontrolfordiscretesingularsystemsisinvestigatedinchapter2，and殆夠喲randsufficientconditionforexistenceofcontrollerisobtainedviab

4、oundedreallemmaandLⅦFurthermore，thedesiredcontrollerispresentedviaLMIAsimulationisgiventoillustral屯eeffectiveness(2)Uncertaindiscretesingularsystemsarestudiedinchapter3Anece8=saltandsufficientconditionofnonfragile如robust

5、statefeedbackcontrolisobtainedviaasimilarmethodandthecontrollerisprovidedvia咖Thenasimulationisalsogiventoshowthevalidity(3)Nonfragile乩robuststatefeedbackcontrolforuncertaintydiscretesingularsystemswithtimedelaysisdiscuss

6、edinchapter4mexistenceof比controllerisanaJyzedandthedesiredcontrolleri8derivedviaboundedreallemmaandIJl沮Asecondmethodisgivenbasedonthe卿s蛔augmentationandmatrixdecompositionTwosimulationsalegiventoillustratetheeffectiveness

7、Oneinnovationisthatthe塒∞圈鄴andsufficientconditioncanbeobtainedfortheexistenceofnonfragileH∞controllerornonfragileH∞r(nóng)obustcontrollerforsystemswithouttimedelaysAnd如controllerscanhepresentedviaLMI誦thl嘲conservativeAnotherinno

8、vationisthatexistenceofcontrollerfortimede塒systemscanbederivedviatwomethods，thecorrespondingcontrollerscanalsobepresentedviaLMI稍thlessconservativeKeywords：Nonfragilecontrol；比statefeedback；robustcontrol；discretesingularsy