不确定时滞广义线性系统的有记忆状态反馈鲁棒H_∞控制

Robust H_∞ control for uncertain descriptor linear systems with time delay via memory state feedback

研究了不确定时滞连续广义线性系统在有记忆状态反馈作用下的鲁棒H∞控制问题。利用线性矩阵不等式方法,给出闭环广义系统对于所有容许不确定性都容许并且H∞性能指标满足给定上界的充分条件。同时,给出有记忆状态反馈控制器的设计方法。数值例子表明了所提出方法的有效性。

Abstract：The problem of robust H∞ control for uncertain continuous descriptor linear systems with time delay via memory state feedback is studied. By linear matrix inequality approach, a sufficient condition is given, which guarantees that, for all admissible uncertainties, the resulting closed-loop descriptor system is admissible and satisfies a prescribed H∞ norm-bounded constraint. Meanwhile, the design method of the memory state feedback controller is proposed. Finally, a numerical example shows the effectiveness of the proposed method.