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Quadratic Stability of Linear Time-Delayed Switched Systems with Polytopic Perturbations

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3 Author(s)
Huibo Zhou ; School of Mathematics and Systems Science, Shenyang Normal University, Shenyang 110034; School of Hulan, Harbin Normal University, Harbin 150500. E-mail: zhouhb0306@sina.com ; Hongwei Zhang ; Yuzhong Liu

The problem of quadratic stability of linear time-delayed switched systems with polytopic perturbations is considered. The perturbation is formed by a polytopic which is spanned by a number of constant known matrixes. By using condition of completeness, Lyapunov asymptotic stability theory and linear matrix inequality (LMI) method, delay independent quadratic stability conditions and the switching law of the uncertain delayed switched system are derived. Then by defining linear transformation, the delayed system can be converted to a delay-free system, and consequently delay dependent quadratic stability conditions and the switching law of the uncertain delayed switched system are obtained. The simulation results show the validity of the switching law

Published in:

2006 6th World Congress on Intelligent Control and Automation  (Volume:1 )

Date of Conference:

21-23 June 2006