廣義時(shí)滯系統(tǒng)的保性能控制研究.pdf

1、哈爾濱工程大學(xué)碩士學(xué)位論文廣義時(shí)滯系統(tǒng)的保性能控制研究姓名：倫微申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：孫廣毅20090501哈爾濱工程大學(xué)碩學(xué)位論文AbstractItisinadequatethatthegeneralsystemguaranteesitsstabilitySOthedynamicresponseofgeneralsystemsatisfiesthedemandofsomefunctionindexTherefor

2、e，thequestionofguaranteedcostcontrolforsystemsisputforwardInthispaperbyusingLyapunovstabilitytheoryandthetheoryofLMI，westudiedtheproblemsofguaranteedcostcontrolfortowkindsofsingulartime—delaysystems，namelytheguaranteedco

3、stcontrolfornonlinearsingulartimedelaysystems，andtheguaranteedcostcontrolforstochasticsingulartimedelaysystemsFirstlythepresentsituationandtheexistentproblemsofguaranteedcostcontrolareintroducedSecondlythefundamentalkIlo

4、wledgeandpreparedlemmasareconsideredFinallythemainresearchtaskisstudied：(1)ThispartgivesthesufficientconditionofcorrespondingcontrollawbasedonLyapunovstabilitytheoryandthelinearmatrixinequalityThen，thenumericalexamplesho

5、wsthevalidityofourconclusionviatheLMIbox(2)Inthispart，wepromotetheconclusionsbasedontheguaranteedcostcontrolofnonlinearnormalsystemswithtimedelayIntermsofanewmatrixinequalitytheproblemofguaranteedcostH。controlisdiscussed

6、forsingulartimedelaysystems謝tIlnormboundednonlinearterm，theexistenceofguaranteedcostH。controllerisgivenandthecontrollerdesignmethodisalsoderived，givenanumericalexampleshowsthevalidityofourconclusion(3)Inthethird，theguara

7、nteedcost鼠controlofstochasticsingulartimedelaysystemisconsideredFirstlywegiveouttheconceptionoftheguaranteedcostH。control，andthenusingtheorem1presentsthesufficientconditionTheorem2istheformoflinearmatrixinequalityoftheTh