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Article Dans Une Revue Fuzzy Sets and Systems Année : 2024

Generalized nonlinear sector approaches for Takagi-Sugeno models

Généralisations d'approches par secteur non-linéaires pour les modèles Takagi-Sugeno

Résumé

The Nonlinear Sector Approach (NLSA) is a way to construct Takagi-Sugeno (T-S) models which exactly represent nonlinear systems with bounded nonlinearities. Generally, the nonlinearities are bounded by a box-shaped set, however, this paper generalizes the NLSA for polytopic and smooth convex bounding sets, providing new ways of reducing the intrinsic conservatism of T-S representations with interdependent scheduling parameters. Some Linear Matrix Inequalities (LMI) criteria for stability analysis of these models are provided throughout the paper.

Dates et versions

hal-04291831 , version 1 (17-11-2023)

Identifiants

Citer

Gustave Bainier, Benoît Marx, Jean-Christophe Ponsart. Generalized nonlinear sector approaches for Takagi-Sugeno models. Fuzzy Sets and Systems, 2024, 476, pp.108791. ⟨10.1016/j.fss.2023.108791⟩. ⟨hal-04291831⟩
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