Comparison Of Generalized And Simple Laguerre Functions For Time-Delay System Approximation

Abstract

The simple and generalized Laguerre functions for time invariant system approximations are discussed. The expressions needed for these approximations are presented. For the purpose of getting the best results, the choice of the free parameters is included for both the simple and the generalized Laguerre functions. In addition, the approximation of first and second order systems is shown and the results are discussed. According to this, the conditions in which the simple and the generalized Laguerre functions yield better results are presented.