Delay-dependent robust control for uncertain discrete singular systems with time-varying delay

The design problem of delay-dependent robust control For uncertain discrete singular systems with time-varying delay is addressed in this paper. The uncertainty is assumed to be norm-bounded. By establishing a finite sum inequality based on quadratic terms, a new delay-dependent robust stability con...

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Bibliographic Details
Published in:Journal of Zhejiang University. A. Science 2008-08, Vol.9 (8), p.1034-1042
Main Authors: Wang, Hui-jiao, Zhao, Xiao-dong, Xue, An-ke, Lu, Ren-quan
Format: Article
Language:English
Subjects:
Civil Engineering
Classical and Continuum Physics
Engineering
Industrial Chemistry/Chemical Engineering
Mechanical Engineering
时间延迟系统
线性不等式
自动控制理论
计算机技术
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Summary:The design problem of delay-dependent robust control For uncertain discrete singular systems with time-varying delay is addressed in this paper. The uncertainty is assumed to be norm-bounded. By establishing a finite sum inequality based on quadratic terms, a new delay-dependent robust stability condition is derived and expressed in terms of linear matrix inequalities （LMIs）. A suitable robust state feedback control law is presented, which guarantees that the resultant closed-loop system is regular, causal and stable for all admissible uncertainties. Numerical examples are given to demonstrate the applicability of the proposed method.
ISSN:1673-565X
1862-1775
DOI:10.1631/jzus.A0720008