ANZIAM  J.  48 (2006), 259-270

Robust stability of impulsive switched systems with disturbance

Xinzhi Liu   Department of Applied Mathematics   University of Waterloo  Waterloo, Ontario N2L 3G1   Canada     xzliu@uwaterloo.ca and Hongtao Zhang   Department of Control Science and Engineering   Huazhong University of Science and Technology   Wuhan 430074   China

Abstract

This paper studies a class of impulsive switched systems with persistent bounded disturbance using robust attractor analysis and multiple Lyapunov functions. Some sufficient conditions for internal stability of the systems are obtained in terms of linear matrix inequalities (LMI). Based on the results, a simple approach for the design of a feedback controller is presented to achieve a desired level of disturbance attenuation. Numerical examples are also worked out to illustrate the obtained results.

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