DocumentCode
404301
Title
Fuzzy Lyapunov stability analysis of discrete type II TSK systems
Author
Sonbol, Assem ; Fadali, M. Sami
Author_Institution
Dept. of Electr. Eng., Nevada Univ., Reno, NV, USA
Volume
5
fYear
2003
fDate
9-12 Dec. 2003
Firstpage
5209
Abstract
We propose a new approach for the stability analysis of discrete Sugeno type II fuzzy systems. The new approach uses arguments similar to those of traditional Lyapunov stability theory with positive and negative definite functions replaced by fuzzy positive definite and fuzzy negative definite functions, respectively. We derive new conditions for stability, asymptotic stability, and exponential stability for this class of fuzzy systems. To demonstrate the new approach, we apply it to a numerical example.
Keywords
Lyapunov methods; asymptotic stability; discrete systems; fuzzy set theory; fuzzy systems; asymptotic stability; discrete Sugeno type II fuzzy systems; exponential stability; fuzzy Lyapunov stability analysis; fuzzy negative definite functions; fuzzy positive definite functions; Asymptotic stability; Fuzzy control; Fuzzy sets; Fuzzy systems; Linear matrix inequalities; Lyapunov method; Stability analysis; Sufficient conditions; Takagi-Sugeno-Kang model;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
ISSN
0191-2216
Print_ISBN
0-7803-7924-1
Type
conf
DOI
10.1109/CDC.2003.1272464
Filename
1272464
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