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Robust stability of impulsive switched systems with disturbance

Published online by Cambridge University Press:  17 February 2009

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

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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.

Keywords

switched systemsimpulsive systemsmultiple Lyapunov functionsrobust stability, ρ-performance.
Type
Research Article
Information
The ANZIAM Journal , Volume 48 , Issue 2 , October 2006 , pp. 259 - 270
Copyright
Copyright © Australian Mathematical Society 2006

References

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