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Article Dans Une Revue Information Sciences Année : 2020

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

Résumé

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.
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hal-03467002 , version 1 (25-11-2023)

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Pedro H.S. Coutinho, Rodrigo Araujo, Tran Anh-Tu Nguyen, Reinaldo Martinez Palhares. A Multiple-Parameterization Approach for local stabilization of constrained Takagi-Sugeno fuzzy systems with nonlinear consequents. Information Sciences, 2020, 506, pp.295-307. ⟨10.1016/j.ins.2019.08.008⟩. ⟨hal-03467002⟩
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