Robust $${H_\infty }$$ H ∞ control for singular time-delay systems with saturating actuators via static output feedback

Abstract

The problem of \({H_\infty }\) robust exponential stability and static output feedback stabilization of uncertain singular time-delay systems with saturating actuators are investigated. First, the delay-dependent condition is given to guarantee that the singular time-delay systems are not only exponential admissible, but also satisfies \(H_{\infty }\) performance \(\gamma \). Moreover, the estimation of stability region and the design method of \(H_{\infty }\) static output feedback controller are given by solving a convex optimization problem. Some simulation examples are provided to demonstrate the merit of the proposed design methods.