滞后广义系统的状态反馈H_∞控制

State feedback H-infinity control of linear singular systems with time-delay

研究了一类状态方程和输出方程均带有时滞的滞后广义系统的H∞ 控制问题 .利用线性矩阵不等式 ,首先给出滞后广义系统零解渐近稳定且具有H∞ 范数约束的充分条件 ,进而分别设计无记忆和有记忆状态反馈控制律 ,保证闭环系统具有上述性能 ,同时基于线性矩阵不等式的解得到了相应控制器构造方法 .

The problem of H-infinity control for a class of singular systems with time-delay is considered.By means of linear matrix inequalities (LMIs),a sufficient condition is obtained for a singular system with time-delay to be zero solution asymptotically stable and satisfied the H-infinity norm constraint.Then the existence conditions of static memory-less and memorial state feedback control laws are presented,and the explicit expressions for such controllers are derived in terms of the solutions of LMIs.Finally,an illustrative example is given to demonstrate the effectiveness of the proposed method.