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Xiaofu JI, Hongye SU, Jian CHU.[en_title][J].Control Theory and Technology,2006,4(4):361~366.[Copy]
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XiaofuJI,HongyeSU,JianCHU
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Received:August 25, 2005Revised:June 19, 2006
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An LMI approach to robust H-infinity control for uncertain singular time-delay systems
Xiaofu JI, Hongye SU, Jian CHU
(Institute of Advanced Process Control, Zhejiang University, Hangzhou Zhejiang 310027, China)
Abstract:
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.
Key words:  Robust H-infinity control  Singular system  Time-delay  Linear matrix inequality (LMI)