Title: Identification of nonlinear systems having discontinuous nonlinearity

Authors: Adil Brouri; L. Kadi; Mohamed Benyassi

Addresses: ENSAM, IMSM, Moulay Ismail University, BP 15290, Marjane 2, Al-Mansor, Meknes, Morocco ' ENSAM, IMSM, Moulay Ismail University, BP 15290, Marjane 2, Al-Mansor, Meknes, Morocco ' ENSAM, IMSM, Moulay Ismail University, BP 15290, Marjane 2, Al-Mansor, Meknes, Morocco

Abstract: This paper deals with the identification of nonlinear systems. Presently, the nonlinear system is described by the Wiener model. The linear element is non-parametric and may be of unknown structure. The nonlinear part is allowed to be discontinuous or of hard type and non-invertible. A two-stage identification method is developed to get a set of points of the nonlinear part and estimates of the linear dynamic element. This method is based on simple geometric analysis and involves easily generated excitation signals.

Keywords: nonlinear systems; nonlinear systems identification; discontinuous nonlinearity; non-parametric linear block; hard nonlinearity; Wiener systems.

DOI: 10.1504/IJMIC.2019.104361

International Journal of Modelling, Identification and Control, 2019 Vol.33 No.2, pp.130 - 137

Received: 08 Jun 2018
Accepted: 07 May 2019
Published online: 06 Jan 2020 *

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