STUDIES ON THE OUTPUT OF FUZZY CONTROLLER WITH MULTIPLE INPUTS

In this paper, we discuss the output of a fuzzy controller, in which an arbitrary number of fuzzy control inputs and an arbitrary number of fuzzy sets employed to fuzzify every linguistic variable are considered in the fuzzy control rules. A rule base with a rule mapping concept is considered. A defuzzifier with the general t-norm and t-conorm operators is formulated. A triangular family is adopted so that the defuzzifier of the complete rule mapping is represented by a formula consisting of only some rules. Using a specific logic pair to evaluate values, we derive that the output of the fuzzy controller can be simply represented by a linear parametric function of the inputs to the fuzzy controller.