On　absolute　stability　of　Lur＇e　control　systems　with　multiple　non-linearities　using　linear　matrix　inequalities-中国期刊网

摘要 NecessaryandsuffcientconditionsfortheexistenceofaLyapunovfunctionintheLur'eformtoguaranteetheabsolutestabilityofLur'econtrolsystemswithmultiplenon-linearitiesarediscussedinthispaper.Itsimplifiestheexistenceproblemtooneofsolvingasetoflinearmatrixinequalities(LMIs).IfthoseLMIsarefeasible,freeparametersintheLyapunovfunction,suchasthepositivedefinitematrixandthecoefficientsoftheintegralterms,aregivenbythesolutionoftheLMIs.Otherwise,thisLyapunovfunctiondoesnotexist.Somesufficientconditionsarealsoobtainedfortherobustabsolutestabilityofuncertainsystems.Anumericalexampleisprovidedtodemonstratetheeffectivenessoftheproposedmethod.

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On　absolute　stability　of　Lur＇e　control　systems　with　multiple　non-linearities　using　linear　matrix　inequalities

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On absolute stability of Lur＇e control systems with multiple non-linearities using linear matrix inequalities

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On　absolute　stability　of　Lur＇e　control　systems　with　multiple　non-linearities　using　linear　matrix　inequalities

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