Generalized Fuzzy Hyperbolic Model: A Universal Approximator

Abstract

A new generalized fuzzy hyperbolic model (GFHM) is proposed, which is a generalization of fuzzy hyperbolic model. The relationship between T-S fuzzy models with GFHM is discussed. The set of GFHM is a proper subset of the T-S fuzzy model set. The GFHM is proved to be a universal approximator. An identification algorithm is proposed to identify the parameters and structures of the GFHM. Simulation studies are given to illustrate the effectiveness of the model and the identification algorithm.