Augmented Lyapunov-Krasovskii functional approaches to robust stability criteria for uncertain Takagi-Sugeno fuzzy systems with time-varying delays

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• 作者：O.M. Kwon^a ; ^{madwind@chungbuk.ac.kr} ; M.J. Park^a ; ^{netgauss@chungbuk.ac.kr} ; S.M. Lee^b ; ^{moony@daegu.ac.kr} ; Ju H. Park^c ; ^{jessie@ynu.ac.kr}
• 关键词：Fuzzy system models ; T&ndash ; S fuzzy systems ; Time-varying delay ; Stability ; Lyapunov method ; LMI
• 刊名：Fuzzy Sets and Systems
• 出版年：2012
• 期刊代码：55_01650114
• 类别：cp
• 出版时间：16 August, 2012
• 卷：201
• 期：Complete
• 页码：1-19
• 文件大小：290 K

摘要

This paper considers the problem of robust stability analysis for uncertain Takagi-Sugeno (T-S) fuzzy systems with time-varying delays. By constructing an augmented Lyapunov-Krasovskii functional and utilizing Finsler's Lemma, a novel criterion for delay-dependent robust stability of T-S fuzzy model with time-varying delay is derived in terms of linear matrix inequalities (LMIs). Also, a further improved stability criterion is proposed by utilizing free weighting techniques. Finally, three numerical examples are included to show the superiority of the proposed criteria.