Delay-dependent Robust Resilient H∞ Control for Uncertain Singular Time-delay Systems

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 delaydependent 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. Index Terms — uncertain singular time-delay systems, resilient H∞ control, delay-dependent criteria, linear matrix inequality(LMI).