Generalized nonlinear sector approaches for Takagi-Sugeno models

被引：6

作者：

Bainier, Gustave ^{[1
]}

Marx, Benoit ^{[1
]}

Ponsart, Jean-Christophe ^{[1
]}

机构：

[1] Univ Lorraine, CNRS, CRAN, F-54000 Nancy, France

来源：

FUZZY SETS AND SYSTEMS | 2024年 / 476卷

关键词：

Takagi-Sugeno model; Nonlinear sector approach; Linear matrix inequality; Quadratic Lyapunov function; LYAPUNOV FUNCTION-APPROACH; S FUZZY-SYSTEMS; STABILITY ANALYSIS; RELAXED STABILITY; IDENTIFICATION; STABILIZATION; PERFORMANCE; DESIGN;

D O I：

10.1016/j.fss.2023.108791

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

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 TS representations with interdependent scheduling parameters. Some Linear Matrix Inequalities (LMI) criteria for stability analysis of these models are provided throughout the paper.

引用

页数：23

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