Stability analysis for T-S fuzzy systems with time-varying delay via free-matrix-based integral inequality

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• 作者：Zhi Lian ; Yong He ; Chuan-Ke Zhang ; Min Wu
• 关键词：Delay ; dependent stability ; free ; matrix ; based integral inequality ; time ; varying delay ; T ; S fuzzy systems
• 刊名：International Journal of Control, Automation and Systems
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：14
• 期：1
• 页码：21-28
• 全文大小：764 KB
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• 作者单位：Zhi Lian (1)
  Yong He (1)
  Chuan-Ke Zhang (1)
  Min Wu (1)
  
  1. School of Automation, China University of Geosciences (CUG), Wuhan, Hubei, 430074, P. R. China
  
• 刊物类别：Engineering
• 刊物主题：Control Engineering
  
• 出版者：The Institute of Control, Robotics and Systems Engineers and The Korean Institute of Electrical Engi
• ISSN：2005-4092

文摘

This paper is concerned with the problem of delay-dependent stability criteria for Takagi-Sugeno systems with time-varying delay. The less conservative delay-dependent stability criteria in terms of linear matrix inequalities are obtained by constructing a novel augmented Lyapunov-Krasovskii functional. In order to further improve the stability conditions, the free- matrix-based integral inequality is employed. Finally, several numerical examples on time-delay stability analysis are given to demonstrate the effectiveness and the merits of the proposed methods. Keywords Delay-dependent stability free-matrix-based integral inequality time-varying delay T-S fuzzy systems