A membership-function-dependent approach for stability analysis and controller synthesis of Takagi-Sugeno models

被引：86

作者：

Bernal, Miguel

Guerra, Thierry Marie ^{[1
]}

Kruszewski, Alexandre ^{[2
]}

机构：

[1] Univ Valenciennes Hainaut Cambresis, CNRS, UMR 8530, LAMIH, Valenciennes, France

[2] Ecole Cent Lille, CNRS, UMR 8146, LAGIS, Lille, France

来源：

FUZZY SETS AND SYSTEMS | 2009年 / 160卷 / 19期

关键词：

Linear matrix inequalities (LMI); Stabilization; Takagi-Sugeno models; PIECEWISE LYAPUNOV FUNCTIONS; CONTROL-SYSTEM DESIGN; FUZZY-SYSTEMS; STABILIZATION CONDITIONS; NONLINEAR-SYSTEMS; RELAXED STABILITY; PERFORMANCE; FORM;

D O I：

10.1016/j.fss.2009.02.005

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper presents a new approach for stability analysis and controller design of Takagi-Sugeno (TS) models. The analysis considers information derived from existing or induced order relations among the membership functions. Partitioning of the state-space and the use of piecewise Lyapunov functions (PWLF) arise naturally as a consequence of induced order relations. Conditions under the novel approach can be expressed as linear matrix inequalities (LMIs) facilitating the inclusion of performance design. Examples are provided to show the advantages over the classical quadratic approach. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：2776 / 2795

页数：20

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