模糊系统及其通用性  

Fuzzy Systems and Universal Approximators

作　　者：李锋[1] 钱清泉[1] 

机构地区：[1]西南交通大学电气工程学院

出　　处：《模糊系统与数学》1998年第1期45-49,共5页Fuzzy Systems and Mathematics

摘　　要：本文应用Ｓｔｏｎｅ－Ｗｅｉｅｒｓｔｒａｓｓ定理证明了一类结构为普遍的模糊系统可以在任意精度上逼近一实连函数。文章最后也说明了以此系统构成的模糊控制器是通用控制器。In this paper , the Stone - Weierstrass Theorem is used to prove that a kind of fuzzy sys- tems are capable of approximation any real continuous function on a compact set to arbitrary accuracy. An application of this result to fuzzy control is presented , which shows the sys- tems can built universal controllers.

关 键 词：S-W定理 可控性 模糊控制器 模糊系统 通用性 

分 类 号：O159[理学—数学] TP273[理学—基础数学]