Adaptive Control of Uncertain Nonlinear Time-Delay Systems With External Disturbance

In this article, adaptive state feedback stabilization is addressed for a class of delayed uncertain systems with external disturbance, where the time delays and the bound parameters of the delayed states and disturbance are assumed to be unknown. By introducing a new Lyapunov-Krasovskii functional, we present a memoryless control strategy to stabilize nonlinear time-delay systems through newly defined control gain function. The main contribution of this article lies in the construction of control gain function. Multiple gain functions can be revealed in a function set. The asymptotic stability of the closed delayed nonlinear system is ensured. Simulation examples are presented to show the effectiveness of the proposed method.

Automated summary

This article addresses the adaptive state feedback stabilization for delayed uncertain systems with external disturbance. A new Lyapunov-Krasovskii functional is introduced to present a memoryless control strategy for stabilizing nonlinear time-delay systems through a newly defined control gain function. The main contribution lies in the construction of control gain function, which ensures the asymptotic stability of the closed delayed nonlinear system. Simulation examples are provided to demonstrate the effectiveness of the proposed method.