Title: Identification of MISO Wiener systems using the LMI algorithm

Authors: Lincheng Zhou; Xiangli Li

Addresses: School of Electrical Engineering and Automation, Changshu Institute of Technology, Changshu, Jiangsu, China ' School of Electrical Engineering and Automation, Changshu Institute of Technology, Changshu, Jiangsu, China

Abstract: This paper focuses on a new identification method for multiple-input single output (MISO) Wiener nonlinear systems, in which the static nonlinear block is assumed to be a polynomial. The basic idea is to establish a MISO Wiener nonlinear identification model with polynomial nonlinearities by means of the key term separation principle. Then, a new identification method based on Levenberg-Marquardt iterative (LMI) search techniques, which can make full use of all the measured input and output data, but also automatically change the search step-size according to the change values of the quadratic criterion function, is derived to obtain an accurate and fast parameter estimation of the model. Finally, the simulation results demonstrate the efficacy of this method.

Keywords: LMI search; parameter estimation; iterative algorithm; multiple-input single-output system; Wiener nonlinear system.

DOI: 10.1504/IJMIC.2021.121818

International Journal of Modelling, Identification and Control, 2021 Vol.37 No.3/4, pp.285 - 291

Received: 30 Sep 2020
Accepted: 16 Dec 2020
Published online: 07 Apr 2022 *

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