Stabilization of Linear Discrete Time Delay Systems with Additive Disturbance and Saturating Actuators

Abstract

The stabilization of linear discrete-time systems with additive bounded disturbance subject both to time-delay in the state and to limited actuators is addressed. A saturating state feedback control law and a region, in which the stability of the closed-loop saturated system is ensured, are derived from a Lyapunov-Krasovskii approach. A local approach is chosen in the sense that no open-loop stability assumption is a priori needed. The results can be extended to cope with convex bounded uncertain parameters in the system model. The stability of the closed-loop system is delay-independent.