Choice of conjunctive operator of TSK fuzzy systems and stability domain study

被引：24

作者：

Benrejeb, Mohamed ^{[1
]}

Sakly, Anis ^{[1
]}

Ben Othman, Kamel ^{[1
]}

Borne, Pierre ^{[2
]}

机构：

[1] Ecole Natl Ingn Tunis, LARA, Tunis 1002, Tunisia

[2] Ecole Cent Lille, F-59651 Villeneuve Dascq, France

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2008年 / 76卷 / 5-6期

关键词：

continuous nonlinear systems; Takagi-Sugeno-Kang (TSK) fuzzy model; t-norm; stability domain; vector norm; arrow form matrix;

D O I：

10.1016/j.matcom.2007.04.003

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper deals with the impact study of the choice of conjunctive operator between input variables of TSK fuzzy models, t-norm, on stability domain estimation. The approach is based on stability conditions issued from vector norms corresponding to a vector-Lyapunov function. In particular, for considered second-order TSK models we show that Zadeh's t-norm, logic product min, gives the largest estimation of stability domain. (c) 2007 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：410 / 421

页数：12

共 13 条

[1]

BENREJEB M, 1982, RAIRO-AUTOM-SYST ANA, V16, P133

[2]

BENREJEB M, 2001, INT C COMM COMP POW

[3]

BOUCHONMEUNIER B, 1995, LOGIQUE FLOUE APPL

[4]

BUTKIEWICZ BS, 1997, 7 INT FUZZ SYST ASS