The steady-state error issue in Laguerre-based modeling of the GL fractional difference

This paper presents new results in the reduction of a steady-state error in modeling of the Grünwald-Letnikov (GL) discrete-time fractional difference by means of discrete-time Laguerre filters. A discussion of various approximation criteria contributes to the steady-state accuracy problem. The paper is culminated with the presentation of finite fractional/Laguerre-based difference (FFLD), whose excellent approximation performance including very low steady-state error is illustrated in simulation examples.