This note is concerned with the absolutestability for time-varying delay Lur’e system withsector-bounded nonlinearity. Improved delay-dependentand delay-derivative-dependent stability criteria areobtained in the form...This note is concerned with the absolutestability for time-varying delay Lur’e system withsector-bounded nonlinearity. Improved delay-dependentand delay-derivative-dependent stability criteria areobtained in the form of linear matrix inequalities (LMIs)by constructing a modified augmented Lyapunov-Krasovskii (LK) functional without applying the modeltransformation or the bounding techniques for crossterms. Thus, the presented delay-dependent criteria areless conservative than those in the literature. Moreover,state feedback stabilizing controllers based on theproposed stability criteria are designed. Numericalexample demonstrates the effectiveness and superiorityof the proposed method.展开更多
基金The work is supported in part by The Key Technology Research for Polymerizer Cleaning Equipment by Using High-Pressure Water Jets under Grant 17032221002the Science and Technology Plan of Beijing Municipal Education Commission under Grant KM201910017002.
文摘This note is concerned with the absolutestability for time-varying delay Lur’e system withsector-bounded nonlinearity. Improved delay-dependentand delay-derivative-dependent stability criteria areobtained in the form of linear matrix inequalities (LMIs)by constructing a modified augmented Lyapunov-Krasovskii (LK) functional without applying the modeltransformation or the bounding techniques for crossterms. Thus, the presented delay-dependent criteria areless conservative than those in the literature. Moreover,state feedback stabilizing controllers based on theproposed stability criteria are designed. Numericalexample demonstrates the effectiveness and superiorityof the proposed method.
