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		Xiaoyu ZHANG,Xiangna LI.[en_title][J].Control Theory and Technology,2010,8(2):211~214.[Copy]

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XiaoyuZHANG,XiangnaLI
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DOI：10.1007/s11768-010-7232-1

Received:October 12, 2007Revised:February 26, 2009

基金项目:The Science and Research Foundation of North China Institute of Science and Technology

Robust integral sliding mode control for uncertainsystems with multiple time delays

Xiaoyu ZHANG,Xiangna LI

(Department of Electronic and Information Engineering, North China Institute of Science and Technology)

Abstract:

This paper proposes a robust integral sliding mode (RISM) manifold and the corresponding stabilization control law for uncertain systems with multiple time-varying time delays based on the techniques of linear matrix inequalities (LMI). The sufficient condition for the existence of the RISM manifold is given in terms of LMI, and then, the sliding mode control (SMC) law that can keep the system state on the RISM manifold from the initial time moment is developed. The efficiency and feasibility of the results are illustrated by a numerical example.

Key words: Robust control Integral sliding mode Time-delay systems LMI