An optimal fuzzy logic system for a nonlinear dynamic system using a fuzzy basis function

Abstract

The impetus for this paper is the development of Fuzzy Basis Function "FBF" that assigns in an optimal fashion, a function approximation for a nonlinear dynamic system. A fuzzy basis function is applied to find the best location of the characteristic points by specifying the set of fuzzy rules. The advantage of this technique is that, it may produce a simple and well-performing system because it selects the most significant 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 numerical information 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. � 2016, Academy and Industry Research Collaboration Center (AIRCC).