H controller synthesis of uncertain piecewise continuous-time linear systems

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)513-519
Journal / PublicationIEE Proceedings: Control Theory and Applications
Issue number5
Publication statusPublished - Sept 2005


An H controller synthesis method is presented for uncertain piecewise linear systems based on a piecewise smooth Lyapunov function. The basic idea of the proposed approach is to search for a piecewise controller and a piecewise continuous Lyapunov function simultaneously and constructively so that the global stability with H performance of the resulting closed-loop control systems can be established. It is shown that the control law and Lyapunov function can be obtained by solving a set of bilinear matrix inequalities (BMI). Two examples are given to illustrate the application of the proposed method.