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		Yahui GAO,Zhiyuan LIU,Hong CHEN.[en_title][J].Control Theory and Technology,2012,10(2):236~243.[Copy]

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YahuiGAO,ZhiyuanLIU,HongCHEN
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(AVIC (Aviation Industry Corporation of China) China Aviation Motor Control System Institute;Department of Control Science and Engineering, Harbin Institute of Technology;Department of Control Science and Engineering, Jilin University)

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Received:July 13, 2009Revised:October 01, 2011

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Robust observer-based control for uncertain discrete-time piecewise affine systems

Yahui GAO,Zhiyuan LIU,Hong CHEN

(AVIC (Aviation Industry Corporation of China) China Aviation Motor Control System Institute;Department of Control Science and Engineering, Harbin Institute of Technology;Department of Control Science and Engineering, Jilin University)

Abstract:

The main contribution of this paper is to present a novel robust observer-based controller design method for discrete-time piecewise affine systems with norm-bounded uncertainties. The key ideas are to construct a piecewisequadratic Lyapunov function to guarantee the stability of the closed-loop systems, approximate polytopic operating regions by ellipsoids, and use the singular value decomposition technique to treat the constraint of matrix equality. It is shown that the suggested control method can be formulated as linear matrix inequalities that are numerically feasible with commercially available software. A numerical example is also given to verify the proposed approach.

Key words: Piecewise affine systems Robust control Observer Linear matrix inequality