A NEUROFUZZY APPROACH TO VARIATIONAL-PROBLEMS BY USING GAUSSIAN MEMBERSHIP FUNCTIONS

In this paper we propose a neurofuzzy direct solution method for varia tional problems in which the cost function of an integral form is mini mized. We deal with two nonlinear systems; one is a direct drive (DD) manipulator system and the other is a trailer-truck system. The DD man ipulator system is described by a continuous-time dynamical model, and the trailer-truck system is described by a discrete-time dynamical mo del. The problem is to find trajectories which minimize the cost funct ion of an integral form. The trajectories of state variables and input variables are represented by fuzzy models that consist of Gaussian me mbership functions. The networks of Gaussian functions are trained by the steepest-descent method to minimize the cost function. The propose d neurofuzzy approach provides a direct solution method of the variati onal problems by using Gaussian functions. The function is regarded as a simplified fuzzy reasoning model and called neurofuzzy.