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Realization of PID controls by fuzzy control methods
Authors:M Mizumoto
Institution:

Division of Information and Computer Sciences, Osaka Electro-Communication University, Neyagawa, Osaka 572, Japan

Abstract:This paper shows that PID controllers can be realized by fuzzy control methods of “product-sum-gravity method” and “simplified fuzzy reasoning method”. PID controllers, however, cannot be constructed by min-max-gravity method known as Mamdani's fuzzy reasoning method. Furthermore, extrapolative reasoning can be executed by the product-sum-gravity method and simplified fuzzy reasoning method by extending membership functions of antecedent parts of fuzzy rules.
Keywords:Product-sum-gravity method  Simplified fuzzy reasoning method  Min-max-gravity method  PID control  Extrapolative reasoning
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