DocumentCode :
1266890
Title :
Comments on Fuzzy Control Systems Design via Fuzzy Lyapunov Functions
Author :
Guelton, Kevin ; Guerra, Thierry-Marie ; Bernal, Miguel ; Bouarar, Tahar ; Manamanni, Noureddine
Author_Institution :
CReSTIC, Univ. de Reims Champagne-Ardenne, Reims, France
Volume :
40
Issue :
3
fYear :
2010
fDate :
6/1/2010 12:00:00 AM
Firstpage :
970
Lastpage :
972
Abstract :
This paper considers the work entitled ??Fuzzy Control Systems Design via Fuzzy Lyapunov Functions?? and published in IEEE Transactions on Systems, Man, and Cybernetics-Part B , where the authors try to extend the work of Rhee and Won. Nevertheless, the results proposed by Li have been obtained without taking into account a necessary path independency condition to ensure the line integral function to be a Lyapunov function candidate, and consequently, the proposed global asymptotic stability and stabilization conditions are unsuitable.
Keywords :
Lyapunov methods; asymptotic stability; fuzzy control; fuzzy Lyapunov functions; fuzzy control systems design; global asymptotic stability; Asymptotic stability; Control systems; Fuzzy control; Fuzzy systems; Linear matrix inequalities; Lyapunov method; Sufficient conditions; Fuzzy control system; Takagi–Sugeno (T-S); fuzzy Lyapunov function; line integral Lyapunov candidate; linear matrix inequality (LMI); Algorithms; Artificial Intelligence; Computer Simulation; Feedback; Fuzzy Logic; Models, Theoretical;
fLanguage :
English
Journal_Title :
Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on
Publisher :
ieee
ISSN :
1083-4419
Type :
jour
DOI :
10.1109/TSMCB.2009.2033807
Filename :
5313873
Link To Document :
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