LMI-based robust control of uncertain discrete-time piecewise affine systems

作     者：Zhiyuan LIU Yahui GAO Hong CHEN 

作者机构：Department of Control Science and Engineering Harbin Institute of Technology Harbin Heilongjiang 150001 China Department of Control Science and Engineering Jilin University Changchun Jilin 130025 China 

出 版 物：《控制理论与应用（英文版）》 (J. Control Theory Appl.)

年 卷 期：2010年第8卷第4期

页      面：496-502页

核心收录：

学科分类：08[工学] 0835[工学-软件工程] 0802[工学-机械工程] 080201[工学-机械制造及其自动化] 

基　　金：supported by the National Science Fund of China for Distinguished Young Scholars(No.60725311) 

主　　题：Discrete-time systems Linear matrix inequality Piecewise affine systems Piecewise Lyapunov function Robust control 

摘      要：The main contribution of this paper is to present stability synthesis results for discrete-time piecewise affine （PWA） systems with polytopic time-varying uncertainties and for discrete-time PWA systems with norm-bounded uncertainties *** basic idea of the proposed approaches is to construct piecewise-quadratic （PWQ） Lyapunov functions to guarantee the stability of the closed-loop *** partition information of the PWA systems is taken into account and each polytopic operating region is outer approximated by an ellipsoid,then sufficient conditions for the robust stabilization are derived and expressed as a set of linear matrix inequalities （LMIs）.Two examples are given to illustrate the proposed theoretical results.