一类不确定时变时滞系统的鲁棒自适应稳定控制

Robust Adaptive Stabilization of a Class of Uncertain Time-Varying Delay System

研究了一类不确定时变时滞系统的鲁棒自适应稳定控制问题.系统包含多变时滞非线性扰动.基于Lyapunov稳定性理论和Lyapunov-K rasovsk ii型泛函设计出了一种无记忆的自适应状态反馈控制器,并证明了满足一定条件时,此控制器使得闭环系统最终一致有界.

This paper concerns a robust adaptive stabilization problem for a class of uncertain time＇varying delay system with multiple delayed state perturbations. By using of the Lyapunov stability theory and Lyapunov-Krasovskii functional we propose a memoryless state feedback controller and prove the closed-loop system is globally stable in the sense of uniform ultimate boundedness.