Local and global bifurcations in simple Takagi-Sugeno fuzzy systems

被引：14

作者：

Cuesta, F ^{[1
]}

Ponce, E ^{[1
]}

Aracil, J ^{[1
]}

机构：

[1] Univ Seville, Escuela Super Ingenieros, Seville 41092, Spain

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2001年 / 9卷 / 02期

关键词：

bifurcations; parametric robustness; piecewise smooth systems; stability; TS fuzzy systems;

D O I：

10.1109/91.919257

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The relevance of bifurcation analysis in Takagi-Sugeno (T-S) fuzzy systems is emphasized mainly through examples. It is demonstrated that even the most simple cases can show a great variety of behaviors. To understand the richness of asymptotic dynamics, one can find in TS systems, a methodology is proposed by invoking bifurcation theory. Several local and global bifurcations (some of them, degenerate) are detected and summarized in the corresponding bifurcation diagrams. It is claimed that this kind of careful analysis could help to cope with some criticism raised regarding the blind use of fuzzy systems.

引用

页码：355 / 368

页数：14

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