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