一类含未建模动态的奇异时滞系统的鲁棒镇定问题

Robust Stabilization for a Class of Singular Time-delay Systems with Uncertainty and Unmodeled Dynamics

利用线性矩阵不等式的方法,研究了一类同时含有参数摄动和未建模动态的线性奇异时滞系统的鲁棒镇定问题,得到了系统可鲁棒镇定的一个充分条件,用线性矩阵不等式的方法,将控制器的求解问题转化为受限线性矩阵不等式的求解问题,并给出了受限线性矩阵不等式的具体解法.最后举例说明了所提出方法的正确性.

The problem of robust stabilization of linear singular time delay systems with parameter uncertainty and unmodeled dynamics is considered. Using linear matrix inequality methods one sufficient condition for such problem is obtained. The controller can be designed by solving one pair of restricted LMIs. The detailed solving method is given for the restricted LMI. A simple example is shown to illustrate the validity of the results.