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| ZhiyuanLIU,YahuiGAO,HongCHEN |
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| (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) |
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| Received:May 23, 2008Revised:January 13, 2009 |
| 基金项目:This work was supported by the National Science Fund of China for Distinguished Young Scholars (No.60725311). |
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| LMI-based robust control of uncertain discrete-time piecewise affine systems |
| Zhiyuan LIU,Yahui GAO,Hong CHEN |
| (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) |
| Abstract: |
| 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 respectively. The basic idea of the proposed approaches is to construct piecewise-quadratic (PWQ) Lyapunov functions to guarantee the stability of the closed-loop systems. The 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. |
| Key words: Discrete-time systems Linear matrix inequality Piecewise affine systems Piecewise Lyapunov function Robust control |
