摘要
从解决模糊系统的“规则爆炸”问题出发,本文首先给出广义递阶M amdan i模糊系统的定义,然后证明其与具有中间变量的广义M amdan i模糊系统等价,并借助方形分片线性函数构造性的证明了在最大模和积分模意义下该系统是泛逼近器.最后仿真实例证实了该系统的有效性.
The definition of generalized hierarchical Mamdani fuzzy systems is firstly introduced for solving ＂ rules exploring＂ problem of fuzzy systems. The generalized hierarchical Mamdani fuzzy systems are then proved to be equivalent to the generalized fuzzy systems with some intermediate input variables. Furthermore, by using square piecewise linear functions, these fuzzy systems are proved to be universal approximators in the meaning of maximum modulus and integration modulus. Finally, a simulation is given to prove their feasibility.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2006年第3期449-454,共6页
Control Theory & Applications
基金
国家自然科学基金资助项目(60474023
60274016)
教育部科学技术重点资助项目(03184)
973国家重大基础研究计划基金资助项目(2002CB312200)
关键词
广义递阶Mamdani模糊系统
方形分片线性函数
泛逼近性
generalized hierarchical Mamdani fitzzy systems
square piecewise linear function
universal approximation
