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

Abstract

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.