广义离散不确定线性系统动态输出反馈鲁棒H_∞控制分析

Dynamic output feedback robust H∞ control analysis for uncertain descriptor discrete-time linear systems

研究一类具有范数有界参数不确定性广义离散线性系统的鲁棒H∞控制问题.基于线性矩阵不等式和一个线性矩阵等式约束,导出动态输出反馈鲁棒H∞控制器存在的一个充分条件,并指出所需要动态输出反馈鲁棒H∞控制器的过程设计.

This paper considers the robust H∞ control problem of uncertain descriptor discrete-time linear systems with time-varying norm-bounded parameter uncertainty. A sufficient condition for the existence of dynamic output feedback robust H∞ controllers is expressed in terms of certain linear matrix inequalities and a linear matrix equality constraint. Furthermore, the process design of desired dynamic output feedback robust H∞ controllers is stated.