Analysis on function duplicating capabilities of fuzzy controllers

作者: Jihong Lee , Seog Chae

DOI: 10.1016/0165-0114(93)90138-8

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摘要: Abstract Fuzzy controllers have been successfully applied to many cases which conventional control algorithms are difficult be applied. Even though the representations and processings of data information in fuzzy controller quite different from other algorithms, processing operation that it carries out is basically a function f:A ⊂ Rn→Rm, bounded subset A n-dimensional Euclidean space f[A] m-dimensional space, where n m number measured states inputs controlled system, respectively. Under assumptions Mamdani's direct reasoning method, C.O.G. (center gravity) defuzzification proven perform mappings any given functions with appropriately defined sets. The mapping capabilities analyzed detail for two cases; f:R1 → R1 g:R2 R1. Also, will shown results can extended multiple dimensional cases.

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