A discussion on Sugeno fuzzy logic approximations of nonlinear systems

This work is aimed at looking into the use of fuzzy systems for the study of nonlinear systems. In a first step, zero-order and first-order Sugeno fuzzy models are defined as approximators of nonlinear systems. It has been found that zero-order fuzzy systems are equivalent to the classical interpolation approach. Nonlinear terms have been limited by two fuzzy systems. The mean fuzzy system gives good accuracy. As illustrations, some numerical applications have been considered to show the efficiency of the use of fuzzy systems to study nonlinear problems.