不確定時滯組合系統(tǒng)的魯棒控制.pdf

1、沈陽師范大學(xué)碩士學(xué)位論文不確定時滯組合系統(tǒng)的魯棒控制姓名：胡何麗申請學(xué)位級別：碩士專業(yè)：運籌學(xué)與控制論指導(dǎo)教師：徐兆棣20050428RobustControlforUncertainInterconnectedSystemswithTimevarin日D.扭.夢.ABSTRACTWiththedevelopmentofmodernsocietymanycomplexsystemsappearinthefieldsofengineeri

2、ngsocialeconomyandbiologicalenvironmentHowtocontrolcomplexsystemsHowtoanalyzeanddesignforcomplicatedinformationsystemsHowtoimprovethedynamicalbehaviorofthecomplexsystemsAllofthemaretheimportanttopicsfacingthemodemscience

3、andtechnology.Ontheonehandthedevelopmentsofmodemscienceandtechnologyprovidethesolidtheoriesfoundationandgoodconditionsforthefurtherresearchoftheinterconnectedsystems.Ontheotherhandthecomplexityactivityuncertaintyandcurse

4、ofdimensionalityoftheinterconnectedsystemsmaketheexistingtheoriesofinterconnectedsystemsbasedonmathematicsmodelbeindifficulty.Thereforeweneedtoinquiryintothenewmethodnewpathtostudyit.Justbasedonthisideathispaperstudiesma

5、inlytherobustdecentralizedcontrolforaclassoflinearuncertaininterconnectedsystemswithtimevaryingdelays.Thecorrespondingresultsshowthattheproposalofthedecentralizedcontrolcansimplifylargelytheanalysisanddesignforinterconne

6、ctedsystems.Thepapercanbesummarizedasfollowing:Firsttheproblemofrobustdecentralizedcontrolisinvestigatedforaclassofuncertaininterconnectedlinearsystemswithtimevaryingdelaysinstatecontrolinputandinterconnection.Byconducti

7、ngproperLyapunovuniversalfunctionusingLMIsandvectorinequalitiesasuficientconditionisderivedtostabilizetheclosedloopsystems.BasedontheexistenceoftheresultsofLMIsatypeoflinearcontrollerisdeveloped.Finallyanumericalexamplei

8、spresentedtoillustratetheresultsgiveninthispaperandthesimulationshowsthatthemethodisveryefective.Secondanobserverbasedrobustdecentralizedcontrolproblemisinvestigatedforaclassofuncertaininterconnectedlinearsystemswithtime

9、varyingdelaysinstateinputandinterconnection.AccordingtothetheoryofRazumikhintypeand切apunovsecondmetho氏asufficientconditionforthestabilityofclosedloopsystemsisderived.BasedontheexistenceoftheresultsofLMIsboththecontroller

10、andtheobserverareobtained.Finallyanumericalexampleispresentedtoillustratetheresultsgiveninthispaperandthesimulationshowsthatthemethodisveryefective.ThirdanobserverbasedrobustHwcontrolproblemisinvestigatedforaclassofuncer

11、taininterconnectedlinearsystemswithtimevaryingdelaysinstateandinputandinterconnection.ByusingthetheoryofLyapunovsecondmethodasufficientconditionforasymptoticallystabilizingtheclosedloopsystemsisderivedonthebasisoftheexis

12、tenceoftheresultsofLMIsandthenormofthetransferfunctionfromthedisturbancetothecontroloutputisreducedtoagivenlevel.Boththecontrollerandtheobserverareobtained.Finallyanumericalexampleispresentedtoillustratetheresultsgivenin