线性时滞不确定系统的时滞相关鲁棒镇定

讨论了同时具有输入时滞与状态时滞的不确定线性系统的时滞相关鲁棒镇定问题.运用矩阵分解思想和Lyapunov-Karsovskii泛函方法,在处理V的导数时添加一个恰当的0项,引入自由权矩阵,基于LMI方法获得了系统经无记忆状态反馈后可鲁棒镇定的时滞相关充分条件,同时获得了具体的控制器设计方法.数值例子说明所得结论具有较小的保守性.

Delay-dependent robust stabilization of linear time-delay uncertain systems

The delay-dependent robust stabilization of an uncertain linear system with both state and input delays was discussed.By combining the matrix decomposition idea with the Lyapunov-Krasovskii functional method,adding an appropriate zero term to the deviation of V,and introducing a free weight matrix,a delay-dependent sufficient condition based on linear matrix inequality was derived to ensure the system's robust stabilization via memoryless state feedback,and a specified controller design method was proposed....