An LMI approach to robust H-infinity control for uncertain singular time-delay systems

被引：26
|
作者：
Xiaofu Ji
Hongye Su
Jian Chu
机构：
[1] Zhejiang University,Institute of Advanced Process Control
来源：
Journal of Control Theory and Applications | 2006年 / 4卷 / 4期
关键词：
Robust H-infinity control; Singular system; Time-delay; Linear matrix inequality (LMI);
D O I：
10.1007/s11768-006-5212-2
中图分类号：
学科分类号：
摘要：
The problem of robust H-infinity control for a class of uncertain singular time-delay systems is studied in this paper. A new approach is proposed to describe the relationship between slow and fast subsystems of singular time-delay systems, based on which, a sufficient condition is presented for a singular time-delay system to be regular, impulse free and stable with an H-infinity performance. The robust H-infinity control problem is solved and an explicit expression of the desired state-feedback control law is also given. The obtained results are formulated in terms of strict linear matrix inequalities (LMIs) involving no decomposition of system matrices. A numerical example is given to show the effectiveness of the proposed method.
引用
收藏
页码：361 / 366
页数：5
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