Fractional-order Polynomial Wiener System Identification

Abstract

This paper deals with the problem of identification of fractional-order Wiener systems. This model consists of a linear fractional-order state space system in series with a static nonlinear block. This problem poses different difficulties, because, it consists of estimating the system parameters and the fractional order. In this work, a new identification algorithm is performed: firstly, the parameters of both the linear and the nonlinear subsystems are estimated based on the Least Squares algorithm and the states are updated based on the auxiliary model principle using the estimated parameters, then, the system order will be estimated using the Levenberg-Marquardt algorithm. Finally, a numerical simulation is offered in the extent to evaluate the effectiveness of the presented method.