DocumentCode :
3550699
Title :
Stability of discrete fuzzy systems with nontriangular membership functions
Author :
Fadali, M. Sami
Author_Institution :
Dept. of Electr. Eng., Nevada Univ., Reno, NV, USA
fYear :
2005
fDate :
8-10 June 2005
Firstpage :
1102
Abstract :
We present new results for the stability analysis of discrete dynamic fuzzy systems with nontriangular membership functions. We use arguments similar to those applied to the stability analysis of systems with triangular membership functions, including: the concept of fuzzy positive definite and fuzzy negative definite functions. We use a fuzzy Lyapunov function candidate with triangular membership functions to derive the new stability conditions for systems with nontriangular membership functions. We apply our results to two numerical examples.
Keywords :
Lyapunov methods; control system analysis; discrete systems; fuzzy control; fuzzy systems; stability; Lyapunov function; discrete dynamic fuzzy system; fuzzy negative definite functions; fuzzy positive definite functions; nontriangular membership function; stability analysis; Asymptotic stability; Control systems; Fuzzy sets; Fuzzy systems; Linear matrix inequalities; Lyapunov method; Mathematical model; Stability analysis; Takagi-Sugeno-Kang model; Testing;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
American Control Conference, 2005. Proceedings of the 2005
ISSN :
0743-1619
Print_ISBN :
0-7803-9098-9
Electronic_ISBN :
0743-1619
Type :
conf
DOI :
10.1109/ACC.2005.1470108
Filename :
1470108
Link To Document :
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