一种新型分层模糊系统及其逼近性能  

A new type of hierarchical fuzzy system and its approximation performance

作　　者：朱晓东[1] 王杰[1] 

机构地区：[1]郑州大学电气工程学院,郑州450001

出　　处：《控制与决策》2013年第10期1559-1563,1567,共6页Control and Decision

基　　金：国家自然科学基金项目(60905039)

摘　　要：针对分层模糊系统,提出一种新的结构形式,该分层模糊系统将各层中间变量作为后一层模糊单元输出结果中的一部分,而不再是输入项,这样不仅能够减少规则数目和辨识参数,而且避免了对不具物理含义的中间变量的模糊处理.给出新型分层模糊系统的解析表达式,证明了该分层模糊系统具有通用逼近性能,并给出存在性定理和逼近性能的充分条件.通过实例仿真表明所提出分层模糊系统具有较好的应用基础.A new type of hierarchical fuzzy system（HFS） is presented in this paper. Outputs in the previous layer which is called intermediate variables are not used in the IF-parts, but used only in the output of the following fuzzy unit in this hierarchical fuzzy system, which can reduce the number of fuzzy rules and the parameters to be identified, and the intermediate variables with little physical meaning can avoid to be fuzzified. Analytic expression of the system is given, and the approximation ability and its sufficient condition are proved. The simulation results show that the proposed HFS has a broad prospect of application.

关 键 词：分层模糊系统 逼近性能 充分条件 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]