Asymptotically necessary and sufficient conditions for Takagi-Sugeno models using generalized non-quadratic parameter-dependent controller design

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• 作者：Raymundo Má ; rquez^a ; ^b ; ^{raymundo.marquez@itson.edu.mx" class="auth_mail" title="E-mail the corresponding author} ; Thierry Marie Guerra^a ; Miguel Bernal^b ; Alexandre Kruszewski^c
• 关键词：Takagi&ndash ; Sugeno model ; Non-quadratic Lyapunov function ; Linear matrix inequality ; Non-parallel distributed compensation
• 刊名：Fuzzy Sets and Systems
• 出版年：2017
• 出版时间：1 January 2017
• 年：2017
• 卷：306
• 期：Complete
• 页码：48-62
• 全文大小：468 K

文摘

Results in this paper generalize recent approaches on non-quadratic controller design for Takagi–Sugeno models based on a matrix transformation. Conditions thus obtained depend on a single parameter which allows an efficient search of feasible solutions via linear matrix inequalities; moreover, they include and outperform former advances, such as Polya's approaches on the same framework. Some examples are included to illustrate the proposed generalization.