状态滞后线性系统的H∞状态反馈控制器

摘要

Using the method of linear matrix inequality(LMI), this paper gives sufficient condition to solve the state feedback H∞ control problem for linear systems with delay in state. The design of the controller ensures the closed-loop systems be of index one and asymptotically stable. The controller can be obtained by solving LMIs. Finally a simple example is given to illustrate the validity of the given result.%利用LMI(线性矩阵不等式)的方法, 首先给出了一般的状态滞后自治系统内稳定且具有H∞范数界的一个充分条件. 并由此得到了一般的状态滞后系统H∞问题有解的一个充分条件, 通过解LMI可以获得控制器的解. 最后举例说明方法的正确性.