Title :
On improvement of stability conditions for continuous Mamdani-like fuzzy systems
Author :
Sugeno, Michio ; Taniguchi, Tadanari
Author_Institution :
Brain Sci. Inst., Saitama, Japan
Abstract :
This paper is concerned with continuous fuzzy systems with singleton consequents, called type II fuzzy systems. It first introduces the canonical form of an unforced type II fuzzy system and its stability theorem presented in the previous study. Then, improving the stability theorem, it gives necessary and sufficient conditions such that a type II fuzzy system is stable with respect to a global quadratic Lyapunov function.
Keywords :
Lyapunov methods; continuous time systems; fuzzy control; fuzzy systems; stability; canonical form; continuous Mamdani-like fuzzy system; global quadratic Lyapunov function; necessary-sufficient condition; quadratic stability analysis; singleton consequents; stability theorem; type II fuzzy system; Control system synthesis; Control systems; Control theory; Fuzzy control; Fuzzy systems; Lyapunov method; Nonlinear systems; Stability analysis; Sufficient conditions;
Journal_Title :
Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on
DOI :
10.1109/TSMCB.2003.809226
