Some sufficient conditions for fuzzy controllers being universal approximators
Jian Hou, Fei You · Journal of systems engineering · 2006
It is pointed that universal approximating property of fuzzy controllers depends on the expressions or values of θ(ɑ,0) and θ(ɑ,1),and based on it,the sufficient conditions for fuzzy controllers being universal approximators are proposed.Furthermore,it is verified by these sufficient conditions that the fuzzy controllers constructed by 29 fuzzy implication operators are universal approximators when all inference rules are connected by ∪,and the fuzzy controllers formed by 40 fuzzy implication operators are universal approximators when all inference rules are connected by ∩.