Title: On parameter separation of the Wiener system identification

Authors: Shaoxue Jing

Addresses: School of Physics and Electronic Electrical Engineering, Huaiyin Normal University, Huaian, Jiangsu 223300, China

Abstract: The parameter separation in the Wiener system parameter identification is considered in this paper. Firstly, the Wiener system to be identified is parameterised into a pseudo linear model based on the key term separation technique; secondly, the parameter estimation algorithm is used to get the parameter estimation value containing the product term; to get the unique model, the parameter separation is needed. Four parameter separation methods, i.e., fixing single nonlinear parameter method, fixing single linear parameter method, fixing linear block energy method, and fixing nonlinear model energy method, are proposed. Several numerical simulation examples show that the performance of the fixing linear block energy (FLE) method is stable, and the prediction error of which is small. After a little modification, the FLE can be applied to the parameter separation of other nonlinear models.

Keywords: Wiener system; parameter separation; key term separation; estimated model.

DOI: 10.1504/IJMIC.2021.123494

International Journal of Modelling, Identification and Control, 2021 Vol.39 No.3, pp.204 - 210

Received: 04 Mar 2021
Accepted: 21 Jun 2021

Published online: 23 Jun 2022 *

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