Novel stability and stabilization criteria for Takagi–Sugeno fuzzy time-delay systems

doi:10.1088/1674-1056/21/3/030204

中国物理B ›› 2012, Vol. 21 ›› Issue (3): 30204-030204.doi: 10.1088/1674-1056/21/3/030204

宫大为,张化光,王占山

收稿日期:2011-05-28 修回日期:2011-11-02 出版日期:2012-02-15 发布日期:2012-02-15
通讯作者: 宫大为,pzhzhx@126.com E-mail:pzhzhx@126.com

Novel stability and stabilization criteria for Takagi–Sugeno fuzzy time-delay systems

Gong Da-Wei(宫大为)^†, Zhang Hua-Guang(张化光), and Wang Zhan-Shan(王占山)

College of Information Science and Engineering, Northeastern University, Shenyang 110819, China

Received:2011-05-28 Revised:2011-11-02 Online:2012-02-15 Published:2012-02-15
Contact: Gong Da-Wei,pzhzhx@126.com E-mail:pzhzhx@126.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 50977008, 61034005, and 61104021), the National High Technology Research and Development Program of China (Grant No. 2009AA04Z127), and the National Basic Research Program of China (Grant No. 2009CB320601).

摘要/Abstract

Abstract: We study the problems of stability and stabilization for Takagi-Sugeno (T-S) fuzzy time-delay systems. First, by constructing a less-redundant Lyapunov-Krasovskii function and introducing a useful inequality, an innovative stability criterion is obtained, which gives a significant improvement on the performance. Compared with the exiting references, our result can use fewer unknown variables and get better results. Furthermore, based on the derived stability criteria, a new stabilization condition is developed, in which the controller gain and the maximum allowable delay bound can be obtained simultaneously. The conditions are all derived in the form of linear matrix inequality, which are easy to verify. Finally, numerical examples are given to show the effectiveness of the proposed methods.

Key words: stabilization, free-weighting matrix

中图分类号: (Control theory)

02.30.Yy

02.60.Cb (Numerical simulation; solution of equations) 87.16.A- (Theory, modeling, and simulations)

宫大为, 张化光, 王占山. [J]. 中国物理B, 2012, 21(3): 30204-030204.

Gong Da-Wei(宫大为), Zhang Hua-Guang(张化光), and Wang Zhan-Shan(王占山) . Novel stability and stabilization criteria for Takagi–Sugeno fuzzy time-delay systems[J]. Chin. Phys. B, 2012, 21(3): 30204-030204.

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Novel stability and stabilization criteria for Takagi–Sugeno fuzzy time-delay systems

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