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Improved delay-dependent stability criteria for T-S fuzzy systems with time-varying delay

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WOS被引频次:56
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成果类型:
期刊论文
作者:
Zeng, Hong-Bing;Park, Ju H.;Xia, Jian-Wei;Xiao, Shen-Ping
通讯作者:
Park, J.H.(jessie@ynu.ac.kr)
作者机构:
[Xiao, Shen-Ping; Zeng, Hong-Bing] School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412007, China
[Xia, Jian-Wei] School of Mathematic Science, Liaocheng University, Shandong 252000, China
[Xia, Jian-Wei; Zeng, Hong-Bing; Park, Ju H.] Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan 712-749, Korea, Republic of
通讯机构:
[Park, Ju H.] Yeungnam Univ, Dept Elect Engn, 280 Daehak Ro, Kyongsan 712749, South Korea.
语种:
英文
关键词:
Delay decompositions - Delay dependent stability criterion - Integral inequalities - Lyapunov-Krasovskii functionals - Semi-definite programming - Stability condition - T S fuzzy system - Time-varying delay
期刊:
Applied Mathematics and Computation
ISSN:
0096-3003
年:
2014
卷:
235
页码:
492-501
文献类别:
WOS:Review;EI:Journal article (JA)
所属学科:
ESI学科类别:数学;WOS学科类别:Mathematics, Applied
入藏号:
WOS:000335898500050;EI:20141517559829
基金类别:
National Natural Science Foundation of China [61304064, 61207154]; Yeungnam University Research Grants
机构署名:
本校为其他机构
院系归属:
电气与信息工程学院
摘要:
This paper is concerned with the robust stability of uncertain T-S fuzzy systems with time-varying delay. A novel Lyapunov-Krasovskii functional is established by employing the idea of combining delay-decomposition with state vector augmentation. Then, by employing some integral inequalities and the reciprocally convex approach, some less conservative delay-dependent stability criteria are obtained. The proposed stability conditions are formulated in the form of linear matrix inequalities (LMIs), which can be solved efficiently with Semi-Definite Programming (SDP) solvers. Finally, four numerical examples are provided to show that the proposed conditions are less conservative than existing ones. ©2014 Elsevier Inc. All rights reserved.
参考文献:
An JY, 2012, INT J CONTROL AUTOM, V10, P490, DOI 10.1007/s12555-012-0305-9
An JY, 2011, FUZZY SET SYST, V185, P83, DOI 10.1016/j.fss.2011.06.016
[Anonymous], 1994, SIAM STUDIES APPL MA
Cao YY, 2001, FUZZY SET SYST, V124, P213, DOI 10.1016/S0165-0114(00)00120-2
Chen B, 2007, FUZZY SET SYST, V158, P2209, DOI 10.1016/j.fss.2007.02.018

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