Comments on Fuzzy Control Systems Design via Fuzzy Lyapunov Functions

Kevin Guelton, Thierry-Marie Guerra, Miguel Bernal, Tahar Bouarar et Noureddine Manamanni

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.

Mots clés

Fuzzy control system , Takagi–Sugeno (T-S) , fuzzy Lyapunov function , line integral Lyapunov candidate , linear matrix inequality (LMI)