Reducing conservativeness of stabilization conditions for switched TS fuzzy systems

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• 作者：Ahmed Jaballi^a ; ^b ; ^{ahmed.jaballi@u-picardie.fr" class="auth_mail" title="E-mail the corresponding author}Author Vitae ; Ahmed El Hajjaji^aAuthor Vitae ; Anis Sakly^bAuthor Vitae
• 关键词：Switched TS fuzzy systems ; Fuzzy Lyapunov functions ; Linear matrix inequalities ; Basin of attraction ; Switching laws
• 刊名：Neurocomputing
• 出版年：2016
• 出版时间：12 June 2016
• 年：2016
• 卷：193
• 期：Complete
• 页码：51-57
• 全文大小：671 K

文摘

In this paper, less conservative sufficient conditions for the existence of switching laws for stabilizing switched TS fuzzy systems via a fuzzy Lyapunov function (FLF) and estimates the basin of attraction are proposed. The conditions are found by exploring properties of the membership functions and are formulated in terms of linear matrix inequalities (LMIs), which can be solved very efficiently using the convex optimization techniques. Finally, the effectiveness and the reduced conservatism of the proposed results are shown through two numerical examples.