robust exponential stability and memory state feedback control for uncertain singular time‐delay systems with saturating actuators

Abstract

This study is concerned with delay‐dependent H ∞ robust exponential stability and memory state feedback stabilisation of singular time‐delay systems with saturating actuators. First, a delay‐dependent linear matrix inequality condition is obtained, which guarantees that the uncertain singular time‐delay systems subject to actuator saturation are not only robustly exponential admissible, but also satisfy H ∞ performance γ via a tighter integral inequality and the method of free‐weighting matrices. Then, using the conditions, the estimation of stability region and the controller with memory state feedback are given by solving a convex optimisation problem. Finally, some numerical examples are provided to demonstrate the merit of the obtained results.