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CLC number: TP273

On-line Access: 2008-01-25

Received: 2007-06-08

Revision Accepted: 2007-11-23

Crosschecked: 0000-00-00

Cited: 8

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Citations:  Bibtex RefMan EndNote GB/T7714

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Journal of Zhejiang University SCIENCE A 2008 Vol.9 No.4 P.546-551

http://doi.org/10.1631/jzus.A071299


Input-output approach to robust stability and stabilization for uncertain singular systems with time-varying discrete and distributed delays


Author(s):  Hui-jiao WANG, An-ke XUE, Yun-fei GUO, Ren-quan LU

Affiliation(s):  Institute of Automation, Zhejiang Sci-Tech University, Hangzhou 310018, China; more

Corresponding email(s):   hjwang@hdu.edu.cn

Key Words:  Robust stability, Input-output stability, Singular system, Time-varying delay, Linear matrix inequality (LMI)


Hui-jiao WANG, An-ke XUE, Yun-fei GUO, Ren-quan LU. Input-output approach to robust stability and stabilization for uncertain singular systems with time-varying discrete and distributed delays[J]. Journal of Zhejiang University Science A, 2008, 9(4): 546-551.

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%T Input-output approach to robust stability and stabilization for uncertain singular systems with time-varying discrete and distributed delays
%A Hui-jiao WANG
%A An-ke XUE
%A Yun-fei GUO
%A Ren-quan LU
%J Journal of Zhejiang University SCIENCE A
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%P 546-551
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%I Zhejiang University Press & Springer
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T1 - Input-output approach to robust stability and stabilization for uncertain singular systems with time-varying discrete and distributed delays
A1 - Hui-jiao WANG
A1 - An-ke XUE
A1 - Yun-fei GUO
A1 - Ren-quan LU
J0 - Journal of Zhejiang University Science A
VL - 9
IS - 4
SP - 546
EP - 551
%@ 1673-565X
Y1 - 2008
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A071299


Abstract: 
Based on input-output approach, the robust stability and stabilization problems for uncertain singular systems with time-varying delays are investigated. The parameter uncertainties are assumed to be norm-bounded and the time-varying delays include both discrete delay and distributed delay. By introducing a new input-output model, the time-delay system is embedded in a family of systems with a forward system without time delay and a dynamical feedback uncertainty. A sufficient and necessary condition, which guarantees the system regular, impulse-free and stable for all admissible uncertainties, is obtained. Based on the strict linear matrix inequality, the desired robust state feedback controller is also obtained. Finally, a numerical example is provided to demonstrate the application of the proposed method.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

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