LMI synthesis of H2 and mixed H2/H∞ controllers for singular systems

被引：86
|
作者：
Zhang, LQ [1 ]
Huang, B
Lam, J
机构：
[1] Univ Alberta, Dept Chem & Mat Engn, Edmonton, AB T6G 2G6, Canada
[2] Univ Hong Kong, Dept Engn Mech, Hong Kong, Hong Kong, Peoples R China
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2003年 / 50卷 / 09期
关键词：
H2; controller; linear matrix inequality (LMI); mixed H-2/H-infinity controller; singular systems;
D O I：
10.1109/TCSII.2003.816904
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
This paper considers the H-2 control problems for continuous-time singular systems with and without an H-infinity constraint. Without the constraint, we derive necessary and sufficient conditions for the existence of H-2 output feedback controllers using the linear matrix inequality (LMI) approach. With the H-infinity constraint, sufficient LMI conditions on the existence of the H-2 controller are obtained. In both cases, the desired H-2 controller can be constructed through the feasible solutions of the LMIs. The proposed synthesis method is illustrated through numerical examples.
引用
收藏
页码：615 / 626
页数：12
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