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Observer-based robust H∞, control for uncertain time-delay systems

Published online by Cambridge University Press:  17 February 2009

Xinping Guan ,
Yichang Liu ,
Cailian Chen  and
Peng Shi
Xinping Guan
Affiliation:
Institute of Electrical Engineering, Yanshan University, Qinhuangdao, 066004, P. R. China; e-mail: xpguan@ysu.edu.cn.
Yichang Liu
Affiliation:
Institute of Electrical Engineering, Yanshan University, Qinhuangdao, 066004, P. R. China; e-mail: xpguan@ysu.edu.cn.
Cailian Chen
Affiliation:
Institute of Electrical Engineering, Yanshan University, Qinhuangdao, 066004, P. R. China; e-mail: xpguan@ysu.edu.cn.
Peng Shi
Affiliation:
All correspondence should be addressed to this author. He was at the University of South Australia; he is now with Weapons Systems Division, Defence Science and Technology Organisation, PO Box 15OO, Edinburgh 5111 SA, Australia; e-mail: peng.shi@dsto.defence.gov.au.
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Abstract

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In this paper, we present a method for the construction of a robust observer-based H∞ controller for an uncertain time-delay system. Cases of both single and multiple delays are considered. The parameter uncertainties are time-varying and norm-bounded. Observer and controller are designed to be such that the uncertain system is stable and a disturbance attenuation is guaranteed, regardless of the uncertainties. It has been shown that the above problem can be solved in terms of two linear matrix inequalities (LMIs). Finally, an illustrative example is given to show the effectiveness of the proposed techniques.

Type
Research Article
Information
The ANZIAM Journal , Volume 44 , Issue 4 , April 2003 , pp. 625 - 634
Copyright
Copyright © Australian Mathematical Society 2003

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