Construction of T-S fuzzy system and the sufficient condition of its approximation ability
Ping Yuan · Control theory & applications · 2009
A constructive method for building the T-S fuzzy system to approximate a given multi-variable nonlinear function is yet to be found. In either case of g(X) ∈ C2 or g(X) ∈/ C2, this paper proposes a convenient method for building a T-S fuzzy system and gives a loose sufficient condition of its approximation ability, when the fuzzy sets are uniformly distributed, continuous and normalized. A simulation example is given to show the correctness and effectiveness of the method.