一类非线性时滞系统的时滞相关镇定及跟踪控制问题

Delay-dependent Stabilization and Tracking Control Problems for a Class of Nonlinear Systems with Time-delays

本文讨论了一类满足Lipschitz条件的非线性时滞系统的镇定与跟踪控制问题.基于非线性状态反馈控制器,利用Lyapunov-Krasovskii泛函和矩阵理论,得到了系统时滞相关全局渐近镇定的新判据,并且保证了输出和状态跟踪控制的误差全局渐近收敛于零.本文推广了文献[9]所得到的结论.因此,本文所研究的模型及所给出的判定条件更具有一般性和实用性.

This paper discusses stabilization and tracking control for a class of nonlinear systems with time - delays and Lipscbitz nonlinearities. Based on the state feedback and Lyapunov - Krasovskii functional and matrix theory, a new criterion on global asymptotic stability with delay - dependent are derived, which guarantees global asymptotic output and state tracking with zero tracking error in the steady state. The result here generalizes the conclusion in [9].