Delay-dependent Robust Resilient H>inf<∞>/inf<Control for Uncertain Singular Time-delay Systems

Abstract

In this paper, the delay-dependent robust resilient H ∞ control is investigated for singular time-delay systems with norm-bounded parameter uncertainty. First, a new delay-dependent bounded real lemma (BRL) for the nominal singular time-delay system is established. Then the problem of robust resilient H ∞ control is solved via a resilient controller with respect to additive and multiplicative controller gain variations, which guarantees the closed-loop system to be regular, impulse free, internally stable and satisfies an H ∞ norm condition for all admissible uncertainties. The explicit expression for the desired robust resilient H ∞ controller is deigned by using the LMIs and the cone complementarity linearization iterative algorithm.