On the stability of Takagi-Sugeno fuzzy systems with time-varying uncertainties

被引：10

作者：

Pang, Chin-Tzong ^{[1
]}

Lur, Yung-Yih ^{[2
]}

机构：

[1] Yuan Ze Univ, Dept Informat Management, Tao Yuan 320, Taiwan

[2] Vanung Univ, Dept Ind Management, Tao Yuan 320, Taiwan

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2008年 / 16卷 / 01期

关键词：

fuzzy control; interval matrices; nonnegative matrices; stability;

D O I：

10.1109/TFUZZ.2007.895955

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper studies the problems of stability analysis of Takagi-Sugeno free fuzzy systems with time-varying uncertainties. In our prior study, we represented the time-varying uncertainty incurred in characteristic interval matrices in terms of the stability of Takagi-Sugeno free fuzzy systems with consequent parameter uncertainties. Based on Mayer's convergent theorem for powers of single interval matrix and its generalization, we further proposed some sufficient conditions for the Takagi-Sugeno free fuzzy system with time-varying uncertainties to be globally asymptotically stable. In this paper, we propose the notion of simultaneously nilpotent interval matrices to investigate the Takagi-Sugeno free fuzzy system with time-varying uncertainties to be strongly stable within n steps, where n relates to the dimension of interval matrices. Moreover, a unique situation for the deterministic Takagi-Sugeno free fuzzy system to be strongly stable within n steps is derived as well, where n relates to the dimension of characteristic matrices for the deterministic Takagi-Sugeno free fuzzy system.

引用

页码：162 / 170

页数：9

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