ANZIAM  J.  44 (2003), 625-634

Observer-based robust control for uncertain time-delay systems

Xinping Guan   Institute of Electrical Engineering   Yanshan University   Qinhuangdao   066004   P. R. China     xpguan@ysu.edu.cn Yichang Liu   Institute of Electrical Engineering   Yanshan University   Qinhuangdao   066004   P. R. China     xpguan@ysu.edu.cn Cailian Chen   Institute of Electrical Engineering   Yanshan University   Qinhuangdao   066004   P. R. China     xpguan@ysu.edu.cn

and Peng Shi   Weapons Systems Division   Defence Science and Technology Organisation   PO Box 1500   Edinburgh 5111 SA   Australia     peng.shi@dsto.defence.gov.au

Abstract

In this paper, we present a method for the construction of a robust observer-based 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.

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