不确定系统的鲁棒D控制

Robust D Control of Uncertain Linear Systems via State Feedback Controllers

针对一类范数有界参数不确定线性连续系统,研究了使得闭环系统的所有极点均配置在给定部分扇形区域中的状态反馈控制器设计问题.基于线性矩阵不等式(LMI)处理方法,给出了不确定线性系统存在鲁棒D控制的充分条件,并利用使两个LMIs同时成立的可行解给出了状态反馈控制器的设计算法和设计步骤.最后,通过一算例验证了结果的正确性和有效性.

This paper was concerned with the robust design problem of the state feedback controners that assigned all the closed-loop poles in a pre-specified partial sector region for a class of uncertain linear systems. The uncertainty in the system model was norm-bounded. Based on the linear matrix inequality （LMI） approach,the sufficient condition of existing robust D control was given. Furthermore, the corresponding synthesis problem was developed. The design arithmetic method and its steps were provided in terms of feasible solution to the two LMIs. The numerical example was given to illustrate the effectiveness of the approach presented in this paper.