An Optimal Fuzzy Logic System for a Nonlinear Dynamic System Using a Fuzzy Basis Function

摘要

The impetus for this paper is the development of Fuzzy Basis Function “FBF” that assigns in an optimalfashion, a function approximation for a nonlinear dynamic system. A fuzzy basis function is applied tofind the best location of the characteristic points by specifying the set of fuzzy rules. The advantage of thistechnique is that, it may produce a simple and well-performing system because it selects the mostsignificant fuzzy basis functions to minimize an objective function in the output error for the fuzzy rules.The fuzzy basis function is a linguistic fuzzy IF_THEN rule. It provides a combination of the numericalinformation and the linguistic information in the form input-output pairs and in the form of fuzzy rules.The proposed control scheme is applied to a magnetic ball suspension system.