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Robust H∞ stabilisation with definite attenuance of an uncertain impulsive switche system

Published online by Cambridge University Press:  17 February 2009

Honglei Xu ,
Xinzhi Liu  and
Kok Lay Teo
Honglei Xu
Affiliation:
Department of Control Science and Engineering, Huazhong University of Science and Technology Wuhan, Hubei, 430074, P. R. China
Xinzhi Liu
Affiliation:
Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada.
Kok Lay Teo
Affiliation:
Department of Mathematics and Statistics, Curtin University of Technology, Perth WA 6845, Australia; e-mail: K.L.Teo@curtin.edu.au.
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Abstract

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In this paper, we study the problem of robust H∞ stabilisation with definite attenuance for a class of impulsive switched systems with time-varying uncertainty. A norm-bounded uncertainty is assumed to appear in all the matrices of the state model. An LMI-based method for robust· H∞ stabilisation with definite attenuance via a state feedback control law is developed. A simulation example is presented to demonstrate the effectiveness of the proposed method.

Type
Research Article
Information
The ANZIAM Journal , Volume 46 , Issue 4 , April 2005 , pp. 471 - 484
Copyright
Copyright © Australian Mathematical Society 2005

References

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