奇異攝動系統(tǒng)的分頻控制.pdf

1、南京理工大學碩士學位論文奇異攝動系統(tǒng)的分頻控制姓名：黃艷龍申請學位級別：碩士專業(yè)：控制理論與控制工程指導教師：鄒云20100620AbstractThispaperdeals誠ththereduced—orderfinitefrequency風filteringproblemforsingularlyperturbedsystemsNecessaryandsufficientconditionsfortheexistenceofsolu

2、tionstocontinuoustimeanddiscrete—timeproblemsarederivedintermsoflinearmatrixinequalitiesFurthermore，aformulaforallthedesiredreducedorderfiltersisgivenwhentheseconditionsarefeasibleInordertoalleviateillconditionedLMIsresu

3、ltingfromtheinteractionofslowandfastdynamic，thesufficientconditionswhichareindependentofthesingularlypeIrturbmion￡aregivenSincetheseparationofstatesintoslowandfastonesisnotinvolved，theresultsareapplicabletonotonlystandar

4、d，butalsonon—standardsingularlyperturbedsystems，F(xiàn)orthegenerallinearsystems，necessaryandsufficientconditionsfortheexistenceofastabilizingstatefeedbackcontrolleraregivenbasedonthegeneralizedKYPlemma，andusetheresultstostudy

5、singularlyperturbedsystems，acompositestatefeedbackcontrollerisconstructed，whichpreservesthestabilityandpositiverealpropertyThispaperalsostudiesthemodelmatchingproblemforSISOsingularlyperturbedsystemsinthe(semi)finitefreq

6、uencyrangesThenecessaryandsufficientconditionsfortheexistenceofanH。suboptimalcontrollerarederivedbasedonthegeneralizedKYPlemma，moreoverthecontrollerisalsosingularlyperturbedItisfurthershownthatthiscontrollerisobtainedthr

7、oughdesigningitsslowandfastparts，andthenthecompositecontrolJerisestablishedFinallybasedonthecompletelyparametricapproachtoeigenstructureassignment，theproblemoffinitefrequency風controlforsingularlyperturbedsystemswithpolea

8、ssignmentconstraintisstudiedThepurposeistodesignastatefeedbackcontrollersuchthattheeigenvaluesoftheclosed—loopstatematrixareatdesiredlocations，andaprescribedHoperformancelevelisalsoachievedinthegivenlowandhighfrequencyra

9、ngesItisfurthershownthattheproblemoffull—ordersystemcouldbebreakdownintofastandslowsubproblems，throughdesigningstatefeedbackcontrollerstosolvethefastandslowsubproblems，respectivelyacompositecontrollerisconstructedontheba