Dynamical System Identification with the Generalized Laguerre Functions

This paper discusses the use of the Generalized Laguerre functions (GLF) in the linear time-invariant (LTI) dynamical system identification task. A short introduction of the GLF functions is provided, and an algorithm to identify the LTI dynamical system with the Laplace images of the GLF is described. In the given context, the authors introduce examples of the approximation of the LTI dynamical system with the GLF and the Simple Laguerre functions (SLF) in MATLAB. The advantages of using the GLF over the SLF are shown. The order reduction problem in high order approximated models is discussed.