Comments on fuzzy control systems design via fuzzy Lyapunov functions.
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.
Guelton
Kevin
K
CReSTIC EA3804, UFR Sciences Exactes et Naturelles, Université de Reims Champagne-Ardenne, 51687 Reims Cedex 2, France. kevin.guelton@univ-reims.fr
Guerra
Thierry-Marie
TM
Bernal
Miguel
M
Bouarar
Tahar
T
Manamanni
Noureddine
N
D000465:Algorithms; D001185:Artificial Intelligence; D003198:Computer Simulation; D005246:Feedback; D017143:Fuzzy Logic; D008962:Models, Theoretical