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Artigo em periódicoOpen Access

A Multiple-Parameterization Approach for local stabilization of constrained Takagi-Sugeno fuzzy systems with nonlinear consequents

COUTINHO, Pedro Henrique Silva2020COUTINHO, Pedro Henrique Silva; ARAÚJO, Rodrigo Farias; NGUYEN, Anh-Tu; PALHARES, Reinaldo Martinez

2020 • Information Sciences • 60 citações

Resumo

Resumo

Abstract This paper addresses the local stabilization of constrained nonlinear systems with input saturation described by Takagi-Sugeno fuzzy models with nonlinear consequents. To reduce the design conservativeness, we propose a new delayed multiple-parameterization control approach based on a nonquadratic Lyapunov function with multiple delayed fuzzy summations. Both input saturation and state constraints are explicitly taken into account in the control design procedure. This multiple-parameterization condition is given in terms of linear matrix inequalities. Compared to existing results, the new approach offers a unified and concise control framework to design both non-delayed and delayed multidimensional nonlinear fuzzy controllers. Numerical examples are provided to demonstrate the effectiveness of the proposed multiple-parameterization approach in both reducing the design conservativeness and enlarging the estimation of the domain of attraction.

Autoria

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palavras-chave

Palavras-chave

Takagi-Sugeno fuzzy systemslocal stabilizationinput saturationstate constraintsnon-quadratic Lyapunov functionslinear matrix inequalitiesdomain of attraction

Volume

506

Páginas

295-307

Editora

Elsevier BV

Status

Published

links

Artigo em periódico