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自动化学报 2005
线性多变量系统的鲁棒耗散控制, PP. 365-371 Keywords: Dissipative,dissipativecontrol,positivereal,uncertainsystems,LMI Abstract: ？Robustquadraticdissipativecontrolforaclassoflinearmulti-variablesystemswithparameteruncertaintiesisconsidered,wheretheuncertaintiesareexpressedinalinearfractionalform.Forthenominalsystemwithoutuncertainties,theequivalencebetweenquadraticdissipativenessandpositiverealnessisestablished,andconditionsarederivedforlinearsystemstobequadraticdissipative.Asforuncertainsystems,itisshownthattherobustquadraticdissipativecontrolproblemfortheuncertainsystemcanbereducedtothecorrespondingproblemforarelatedsystemwithoutuncertainties.ThecontrolproblemconcernedcanbesolvedusingLMIapproach.TheresultsofthepaperunifyexistingresultsonH1controlandpositiverealcontrolandprovideamoreflexibleandlessconservativecontroldesignmethod.
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