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模糊控制器是泛逼近器的若干充分条件
Some sufficient conditions for fuzzy controllers being universal approximators
【摘要】 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(ɑ,0)和θ(ɑ,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.
【Abstract】 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 "∩".
【Key words】 fuzzy implication operators; CRI algorithm; fuzzy controllers; interpolation functions; universal approximators;
- 【文献出处】 系统工程学报 ,Journal of Systems Engineering , 编辑部邮箱 ,2006年05期
- 【分类号】O231
- 【被引频次】6
- 【下载频次】133