Title: Identification and control of systems with hysteresis: concepts and tools

Authors: Petrus Emmanuel Oliveira Gomes Brant Abreu; Henrique Carvalho de Castro; Bruno Henrique Groenner Barbosa; Luis Antonio Aguirre

Addresses: Programa de Pós-Graduação em Engenharia Elétrica, Universidade Federal de Minas Gerais, Av. Antônio Carlos 6627, 31270-901, Belo Horizonte, MG, Brazil ' Programa de Pós-Graduação em Engenharia de Sistemas e Automação, Universidade Federal de Lavras, Campus Universitário, P.O. 3037, 37200-000, Lavras, MG, Brazil ' Departamento de Automática, Universidade Federal de Lavras, Campus Universitário, P.O. 3037, 37200-000, Lavras, MG, Brazil ' Departamento de Engenharia Eletrônica, Universidade Federal de Minas Gerais, Av. Antônio Carlos 6627, 31270-901, Belo Horizonte, MG, Brazil

Abstract: Nonlinear system identification and control is a very vast field. In order to make a brief review manageable the topic has been constrained to focus on systems with hysteresis. The model class that received most attention was that of nonlinear autoregressive with exogenous (NARX) inputs polynomial models. However, most of the problems mentioned and tools presented are applicable to a much wider class of nonlinear systems. A framework for nonlinear system identification based on evolutionary algorithms is described. Identification and control of systems with hysteresis are illustrated with examples that include simulated and experimental data. Some open problems in the field are mentioned and it is hoped that this work will not only serve as a starting point for the newcomer but also motivate researchers to face open challenges.

Keywords: grey-box identification; compensation of nonlinearities; NARX polynomial models; hysteresis; evolutionary algorithms; multi-gene genetic programming; MGGP.

DOI: 10.1504/IJMIC.2024.138011

International Journal of Modelling, Identification and Control, 2024 Vol.44 No.3, pp.189 - 217

Received: 02 Jan 2023
Accepted: 05 Jan 2023
Published online: 16 Apr 2024 *

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