通过分析模糊控制器的一般算法,发现模糊控制器是否具有泛逼近性,关键取决于模糊蕴涵算子θ(a,0)和θ(a,1)时的表达式或取值.在此基础上给出了模糊控制器具有泛逼近性的若干充分条件.进而,由这些充分条件验证了当规则取并时有29个模糊蕴涵算子构成的模糊控制器具有函数的泛逼近性;当规则取交时有40个模糊蕴涵算子构成的模糊控制器具有函数的泛逼近性.
It is pointed that universal approximating property of fuzzy controllers depends on the expressions or values of θ( a ,0) and θ( a, 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 "∩".