Delay-dependent robust stabilization for uncertain saturating actuator systems with time-varying delayed state and control

Abstract

This paper investigates the problem of robust stabilization of uncertain saturating actuator systems with a time-varying delay in both state and control. Employing the Razumikhin approach for the stability of functional differential equations, upper bounds on the time-varying delay are proposed such that the considered uncertain system is robustly globally or locally asymptotically stabilizable via memoryless state feedback control laws. These conditions are shown to be an extension of those given by [7] and less restrictive than those derived by [1]. A numerical example is included to illustrate the obtained results.