研析带有非线性时滞系统的鲁棒稳定性

Robust Stability with Nonlinear Time-delay System

文中针对一类同时具有非线性摄动和强结构不确定参数的时滞系统,利用线性矩阵不等式方法,研究其鲁棒稳定性问题.给出了有记忆状态反馈鲁棒稳定控制律存在的充分条件和具体设计方法,最后用Matalb软件进行实例仿真演示了该方法的有效性.

The problem of robust stability for a class of time - delay system with highly structured uncertain parameter and nonlinear perturbation is considered. A sufficient condition for the existence of memory state feedback robust stability control law is derived via the linear matrix inequality （LMI） approach, the explicit design method of the robust stability control law are obtained. Finally, an example is given via the Matlab to illustrate the effectiveness of the proposed results.