Comments on Fuzzy Control Systems Design via Fuzzy Lyapunov Functions

Kevin Guelton (1) , Thierry-Marie Guerra (2) , Miguel Bernal (2, 3) , Tahar Bouarar (1) , Noureddine Manamanni (1)

1 CRESTIC - Centre de Recherche en Sciences et Technologies de l'Information et de la Communication - EA 3804
2 LAMIH - Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201
3 National Research System

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.

Domaines: Automatique

Kevin Guelton, Thierry-Marie Guerra, Miguel Bernal, Tahar Bouarar, Noureddine Manamanni. Comments on Fuzzy Control Systems Design via Fuzzy Lyapunov Functions. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 2010, 40 (3), pp.970 - 972. ⟨10.1109/TSMCB.2009.2033807⟩. ⟨hal-00793239⟩