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Delay-dependent robust resilient guaranteed cost control for uncertain singular time-delay systems

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2 Author(s)
Shuqian Zhu ; Sch. of Math. & Syst. Sci., Shandong Univ., Jinan, China ; Zhaolin Cheng

In this paper, the delay-dependent robust resilient guaranteed cost control for singular time-delay systems with norm-bounded parametric uncertainty is investigated. First, based on the delay-dependent stability criterion for the nominal singular time-delay system, a sufficient condition of the existence of the robust resilient guaranteed cost controller is established. Then the problem of robust resilient guaranteed cost control is solved via a resilient controller with respect to additive and multiplicative controller gain variations, which guarantees that the closed-loop system is regular, impulse free and asymptotically stable for all admissible uncertainties, and satisfies a cost bound. The explicit expression for the desired robust resilient guaranteed cost controller is designed by using the LMIs and the cone complementarity linearization iterative algorithm.

Published in:

American Control Conference, 2005. Proceedings of the 2005

Date of Conference:

8-10 June 2005