Robust H∞ non-fragile control with memory state feedback for a class of singular time-delay systems

Abstract

The problem of delay-dependent robust H∞ non-fragile control for a class of singular systems with state-delay and parameter uncertainties is investigated in this article. A delay-dependent sufficient condition for the problem of H∞ control for a class of singular systems is proposed by constructing the generalized Lyapunov–Krasovskii function, combining with linear matrix inequality approach. A memory state feedback controller under controller gain perturbations is obtained, which guarantees that, for all admissible uncertainties, the resulting closed-loop system is regular, impulse free, and stable with an H∞ disturbance attenuation level. Numerical examples show that the proposed methods are less conservative than existing ones.