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		Ji Xiang,Hongye Su,Jian Chu,Xiaoyu Zhang.[en_title][J].Control Theory and Technology,2004,2(3):293~300.[Copy]

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JiXiang,HongyeSu,JianChu,XiaoyuZhang
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Received:December 09, 2003Revised:August 10, 2004

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New synthesis algorithm of static output feedback sliding mode control for a class of uncertain systems

Ji Xiang, Hongye Su, Jian Chu,Xiaoyu Zhang

(National Laboratory of Industrial Control Technology, Institute of Advanced Process Control, Zhejiang University, 310027 Hangzhou Zhejiang, China)

Abstract:

Based on a kind of regular form, a Lyapunov matrix with special structure is presented to design the sliding surface matrix conveniently and then an effective algorithm is developed on it. A simple static output feedback sliding mode control law without extra dynamic equation is given, such that the predefined sliding surface is reached in finite time for the general matching uncertainties. In the reported result, this extra dynamic equation is used for evaluating the norm bound of the unmeasured state vector. Finally, some examples are studied to illustrate the proposed approach.

Key words: Sliding mode control (SMC) Linear matrix inequality (LMI) Uncertain systems Static output feedback