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		Jianxiong ZHANG;Wansheng TANG.[en_title][J].Control Theory and Technology,2007,5(2):199~206.[Copy]

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JianxiongZHANG;WanshengTANG
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Received:May 22, 2006Revised:October 28, 2006

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Output feedback controller design for uncertain piecewise linear systems

Jianxiong ZHANG;Wansheng TANG

(Institute of Systems Engineering, Tianjin University, Tianjin 300072, China)

Abstract:

This paper proposes output feedback controller design methods for uncertain piecewise linear systems based on piecewise quadratic Lyapunov function. The $\alpha$-stability of closed-loop systems is also considered. It is shown that the output feedback controller design procedure of uncertain piecewise linear systems with $\alpha$-stability constraint can be cast as solving a set of bilinear matrix inequalities (BMIs). The BMIs problem in this paper can be solved iteratively as a set of two convex optimization problems involving linear matrix inequalities (LMIs) which can be solved numerically efficiently. A numerical example shows the effectiveness of the proposed methods.

Key words: Piecewise linear systems Uncertainty Output feedback control Bilinear matrix inequalities