The modeling of non-linear systems using fast radial basis functoin

The radial basis function (RBF) is designed and implemented for modelling a nonlinear system. The combination of k-means clustering algorithm, p-nearest neighbour, least mean square together with the Gaussian function are used for determining the optimal network parameters adaptively instead of trial and error. In this paper an algorithm is presented to design (RBF) with smallest possible number of centres, proper width, and an optimal network output. An example of modelling a nonlinear system is simulated and the satisfactory results are obtained and illustrated.