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
         
        
        
        
        
            fDate : 
6/1/2010 12:00:00 AM
         
        
        
        
            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;
         
        
        
            Journal_Title : 
Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on
         
        
        
        
        
            DOI : 
10.1109/TSMCB.2009.2033807