Delay-Dependent Robust Passive Control for Uncertain Discrete Singular Systems with Multiple Time-Delays

Abstract

This paper investigates delay-dependent robust passive analysis and control for uncertain discrete singular system with multiple time-delays. Delay-dependent robust passive sufficient condition in terms of linear matrix inequalities (LMI) for the discrete singular systems is obtained by employing Lyapunov-Krasovskii approach and free weighting matrix technique. Based on this condition, a delay-dependent robust passive controller is presented which guarantees the resultant closed-loop system to be regular, casual, stable and robust passive. A numerical example is provided to demonstrate the effectiveness of the method.