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LMI-based robust control of uncertain discrete-time piecewise affine systems 被引量：9

LMI-based robust control of uncertain discrete-time piecewise affine systems
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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 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. 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.
作者 Zhiyuan LIU Yahui GAO Hong CHEN
机构地区 Department of Control Science and Engineering Department of Control Science and Engineering
出处 《控制理论与应用（英文版）》 EI 2010年第4期496-502,共7页
基金 supported by the National Science Fund of China for Distinguished Young Scholars(No.60725311)
关键词 Discrete-time systems Linear matrix inequality Piecewise affine systems Piecewise Lyapunov function Robust control Discrete-time systems Linear matrix inequality Piecewise affine systems Piecewise Lyapunov function Robust control
分类号 TP273.3 [自动化与计算机技术—检测技术与自动化装置] TP273.2 [自动化与计算机技术—检测技术与自动化装置]
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参考文献23

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控制理论与应用（英文版）
2010年 第4期

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