reliability based robust control for uncertain dynamical systems using feedback of incomplete noi外语英文电子书

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1、EARTHQUAKEENGINEERINGANDSTRUCTURALDYNAMICSEarthquakeEngngStruct.Dyn.2003;32:751–770(DOI:10.1002/eqe.247)Reliability-basedrobustcontrolforuncertaindynamicalsystemsusingfeedbackofincompletenoisyresponsemeasurementsKa-VengYuenandJamesL.Beck∗;†DivisionofEngineeringandAppliedScience;CaliforniaInstitut

2、eofTechnology;1201E.CaliforniaBlvd;Pasadena;CA91125;U.S.A.SUMMARYAreliability-basedoutputfeedbackcontrolmethodologyispresentedforcontrollingthedynamicre-sponseofsystemsthatarerepresentedbylinearstate-spacemodels.Thedesigncriterionisbasedonarobustfailureprobabilityforthesystem.Thiscriterionprovide

3、srobustnessforthecontrolledsystembyconsideringaprobabilitydistributionoverasetofpossiblesystemmodelswithastochasticmodeloftheexcitationsothatrobustperformanceisexpected.Thecontrolcommandsignalcanbecalculatedusingincompleteresponsemeasurementsatprevioustimestepswithoutrequiringstateestimation.Ex-a

4、mplesofrobuststructuralcontrolusinganactivemassdriveronashearbuildingmodelandonabenchmarkstructurearepresentedtoillustratetheproposedmethod.Copyright?2003JohnWiley&Sons,Ltd.KEYWORDS:benchmarkcontrolproblem;robustcontrol;robustfailureprobability;robustreliability;stochasticcontrol;structuralcontro

5、l1.INTRODUCTIONBecausecompleteinformationaboutadynamicalsystemanditsenvironmentareneveravail-able,thesystemandexcitationcannotbemodelledexactly.Classicalcontroldesignmethodsbasedonasinglenominalmodelofthesystemmayfailtocreateacontrolsystemthatpro-videssatisfactoryperformance.Robustcontrolmethods(

6、e.g.H2,H∞and
-synthesis,etc.)werethereforeproposedsothattheoptimalcontrollercanproviderobustperformanceandstabilityforasetof‘possible’modelsofthesystem[1;2].Inaprobabilisticrobustcontrolapproach,anadditional‘dimension’isintroducedbyusingprobabilisticdescriptionsofallthepossiblemodelswhenselecting

7、thecontrollertoachieveoptimalperformance.Theseprob-abilitydistributionsgiveameasureofhowplausiblethepossibleparametervaluesare,and∗Correspondenceto:JamesL.Beck,DivisionofEngineeringandAppliedScience,CaliforniaInstitute