Title :
Stability analysis for discrete fuzzy systems
Author :
Matía, Fernando ; Al-hadithi, Basil M. ; Jiménez, Agustín
Author_Institution :
DISAM, Univ. Politecnica de Madrid, Spain
Abstract :
Stability methods for discrete fuzzy systems based on Lyapunov stability theorem are discussed. First, we represent the fuzzy system by a Takagi-Sugeno model and we recall its stability conditions. Second, we analyze the difficulties encountered in finding a general solution for stability of such systems, and then, we study the effect of the membership functions and the dependence of the basin of attraction on the type of such functions. The methods are illustrated by examples
Keywords :
Lyapunov methods; asymptotic stability; discrete systems; fuzzy systems; matrix algebra; Lyapunov stability theorem; Takagi-Sugeno model; basin of attraction; discrete fuzzy systems; membership functions; stability analysis; stability conditions; Asymptotic stability; Continuous time systems; Equations; Fuzzy sets; Fuzzy systems; Lyapunov method; Shape; Stability analysis; Sufficient conditions;
Conference_Titel :
Fuzzy Systems, 2000. FUZZ IEEE 2000. The Ninth IEEE International Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-5877-5
DOI :
10.1109/FUZZY.2000.839164
