Model based fuzzy logic control

In this paper, we introduce a general formalism for generating a fuzzy plant model. We provide a description of fuzzification, inference rules, and defuzzification in terms of mappings from the set of real numbers to the fuzzy set domain; We demonstrate the use of this formalism by developing a general fuzzy logic, rule based plant model for a stable, discrete-time, linear time-invariant system, with rational coefficients. We prove that the fuzzy plant model exactly duplicates the behavior of the discrete-time linear system. A worked example and simulation results are also presented. Finally, we outline a method for control design using fuzzy rule base plant models. Possible application of this method for regulation and tracking is considered