摘要
研究了广义系统非脆弱混合H2/H∞优化控制问题.目的是设计一个带扰动的状态反馈控制器,使得闭环广义系统满足容许性及H∞范数界的同时使得H2范数极小.基于线性矩阵不等式给出了该控制器存在的一个充分条件,同时给出了控制器的设计方法和闭环系统H2范数的极小上界.
The problem of non-fragile mixed H2/H∞ optimal control for descriptor systems was considered in this paper. A state feedback controller with perturbation was designed to minimize the H2 norm of the resulting closed-loop system subject to admissibility of the closed-loop system and a H∞ norm constraint. A suffeient condition for the existence of the controller is presented based on the linear matrix inequality （LMI）, and a design approach for the controller is obtained as well as the minimal upper bound of the H2 norm of the closed-loop system is given.
出处
《广西师范学院学报（自然科学版）》
2008年第3期46-51,共6页
Journal of Guangxi Teachers Education University(Natural Science Edition)
基金
国家自然科学基金(60864001)
广西自然科学基金(0640073
0679021
0679024)
