Stabilization of uncertain time-delay systems with position and rate bounded actuators: An ARE approach

Abstract

The stabilization of linear uncertain time-delay systems subject to position and rate limited actuators is addressed. A saturating control law and a region, in which the stability of the closed-loop saturated system is ensured, are derived from an ARE-approach. The uncertainty is of the norm-bounded time-varying type. A local approach is chosen in the sense that no open-loop stability assumption is a priori considered. In the proposed method, the position and rate systems inputs are allowed to saturate. The results are based on the use of the Lyapunov-Krasovskii Theorem. The stability of the closed-loop system is delay-independent.