Fixed‐time stabilization for a class of nonlinear time‐delay systems

Abstract

In this paper, we investigate the problem of fixed‐time stabilization (FTS) for a class of second‐order nonlinear time‐delay systems. Using the fixed‐time stability theory and Lyapunov‐Krasovskii functional, a design scheme of fixed‐time stability for time‐delay systems is proposed. This scheme effectively solves the adverse impact of time‐delay on the system, and and ensure that the corresponding closed‐loop system is stable for a fixed time. The main benefit of the proposed control methods is that the influences of time‐delay state and nonlinear uncertainties can be effectively attenuated with the help of feedback method. Finally, the simulation is given to show the effectiveness of the design scheme.