Observer-based resilient L 2 – L ∞ control for singular time-delay systems

Abstract

The problem of non-fragile (or resilient) L2–L∞ control for a class of singular systems with time-varying delay is considered via observer-based state feedback control. The objective is to design an observer-based feedback controller with additive gain variations such that, for all admissible observer and controller gain variations, the closed-loop system is regular, impulse free and stable with a prescribed L2–L∞ performance index satisfied. In terms of linear matrix inequalities, a new delay-dependent stability criterion is derived. Based on the obtained criterion, the non-fragile observer and controller design method is proposed. Numerical example and simulation results are included to show the effectiveness of the proposed results.