非线性参数扰动多重时滞系统的鲁棒稳定性分析与变结构控制

Robust Stability of Multiple Delay Systems with Nonlinear Parameter Perturbations and Its Robust Stabilization by Variable Structure Control

研究一类非线性参数扰动满足范数有界条件的多重时滞系统 .利用Lyapunov函数方法 ,获得了一个新的鲁棒稳定性充分条件 ,并应用变结构控制实现了该类非线性参数扰动多重时滞系统的鲁棒镇定 .

This paper deals with a class of multiple delay systems with nonlinear parameter perturbations. The nonlinear parameter perturbations are unknown but norm bounded. By using the Lyapunov functional approach, a sufficient condition for the system to be robustly stable is obtained. What's more, the application of the concept of variable structure control to the robust stabilization problem of the uncertain time delay systems is successful.