Modeling and identification of a simple fractional-order circuit via discrete-time Laguerre approximation to the GL fractional-order derivative

Abstract

This paper presents a new method for modeling and identification of a simple electric circuit described by fractional-order differential equation. The Grunwald-Letnikov fractional-order derivative is approximated by its effective discrete-time model based on Laguerre filters, giving rise to a new discrete-time integer-order equation modeling the considered electric circuit. High accuracy of modeling and parameter estimation for the circuit, under moderate computational effort, is verified on a real-life experimental data.