非线性时滞系统自适应backstepping输出反馈控制

Adaptive backstepping output feedback control for nonlinear time-delay systems

针对一类参数化非线性时滞系统,采用时滞滤波器,结合backstepp ing的设计方法,提出了一种自适应输出反馈控制器的设计方案.放松了对非线性时滞项的要求,实现了对给定目标轨线的全局渐近跟踪,并保证闭环系统所有信号一致有界.基于Lyapunov-Krasovisk ii泛函方法证明了整个闭环系统的稳定性.实例仿真说明了该方案的可行性.

A design approach to the adaptive output feedback controller is proposed for a class of parametric nonlinear time-delay systems by means of time-delay filters and the backstepping technique. The requirement for the nonlinear time-delay terms of the systems is relaxed. The global asymptotical tracking of given trajectories is achieved and the boundedness of all signals of the resulting closed-loop system is also guaranteed. Based on the method of the Lyapunov-Krasoviskii functional, the stability of the closed-loop system is proved. The feasibility of the proposed approach is illustrated by a simulation exampled.