Delay-dependent exponential stabilization of nonlinear fuzzy impulsive systems with time-varying delay

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• 作者：Jianjiang Yu^a ; ^{yujianjiang@126.com" class="auth_mail" title="E-mail the corresponding author}Author Vitae ; Haibo Jiang^b ; ^{yctcjhb@gmail.com" class="auth_mail" title="E-mail the corresponding author}Author Vitae ; Caigen Zhou^aAuthor Vitae ; Liping Zhang^bAuthor Vitae
• 关键词：Fuzzy control ; T&ndash ; S fuzzy model ; Linear matrix inequality (LMI) ; Impulsive systems ; Exponential stability ; Delay-dependent stability criteria
• 刊名：Neurocomputing
• 出版年：2016
• 出版时间：26 August 2016
• 年：2016
• 卷：203
• 期：Complete
• 页码：92-101
• 全文大小：727 K

文摘

This paper investigates the problem of exponential stabilization for a class of nonlinear fuzzy impulsive systems with time-varying delay. Firstly, the systems are expressed by the extended Takagi–Sugeno (T–S) fuzzy model. Secondly, the combination of Lyapunov–Krasovskii type functionals and the parallel distributed compensation (PDC) idea is employed to design a state feedback controller such that the closed-loop systems are globally exponentially stable. The corresponding sufficient delay-dependent conditions are derived in terms of linear matrix inequalities (LMIs). Finally, two examples are presented to demonstrate the effectiveness of the theoretical contribution.