Fuzzy controls under various fuzzy reasoning methods
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TL;DR
This paper introduces other fuzzy implications, such as the arithmetic rule and maximin rule, for linguistic control rules and compares control results for a plant model with first order delay under various approximate reasoning methods.
Abstract
A fuzzy logic controller consists of linguistic control rules tied together by means of two concepts: fuzzy implications and a compositional rule of inference. Most of the existing fuzzy logic controllers are based on the approximate reasoning method due to Mamdani. This paper introduces other fuzzy implications, such as the arithmetic rule and maximin rule, for linguistic control rules and compares control results for a plant model with first order delay under various approximate reasoning methods. Moreover, control results are compared when the widths of fuzzy sets of linguistic control rules are changed.