Exponential Convergence of Time-Delay Systems in the Presence of Bounded Disturbances
In this paper, the problem of control design for exponential convergence of state/input delay systems with bounded disturbances is considered. Based on the LyapunovKrasovskii method combining with the delay-decomposition technique, a new sufficient condition is proposed for the existence of a state feedback controller, which guarantees that all solutions of the closed-loop system converge exponentially (with a pre-specified convergence rate) within a ball whose radius is minimized. The obtained condition is given in terms of matrix inequalities with one parameter needing to be tuned, which can be solved by using a one-dimensional search method with Matlabs LMI Toolbox to minimize the radius of the ball. Two numerical examples are given to illustrate the superiority of the proposed method.
exponential convergence time-delay systems bounded disturbances