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Modeling of Rate-Independent and Symmetric Hysteresis Based on Madelung’s Rules
Hysteresis is a kind of nonlinearity with memory, which is usually unwanted in practice. Many phenomenological models have been proposed to describe the observed hysteresis. For instance, the Prandtl-Ishlinskii (PI) model, which consists of several backlash operators, is the most widely used. On the...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2019
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6359643/ https://www.ncbi.nlm.nih.gov/pubmed/30654573 http://dx.doi.org/10.3390/s19020352 |
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author | Cao, Kairui Li, Rui |
author_facet | Cao, Kairui Li, Rui |
author_sort | Cao, Kairui |
collection | PubMed |
description | Hysteresis is a kind of nonlinearity with memory, which is usually unwanted in practice. Many phenomenological models have been proposed to describe the observed hysteresis. For instance, the Prandtl-Ishlinskii (PI) model, which consists of several backlash operators, is the most widely used. On the other hand, the well-known Madelung’s rules are always used to validate hysteresis models. It is worth pointing out that the PI model obeys Madelung’s rules. In this paper, instead of considering these rules as criteria, we propose a modeling method for symmetric hysteresis by directly constructing the trajectory based on Madelung’s rules. In the proposed method, turning points are recorded and wiped out according to the input value. After the implementation of the recording and wiping-out mechanisms, the curve which the current trajectory moves along can be determined and then the trajectory can be described. Furthermore, the relationship between the proposed method and the PI model is also investigated. The effectiveness of the presented method is validated by simulation and experimental results. |
format | Online Article Text |
id | pubmed-6359643 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-63596432019-02-06 Modeling of Rate-Independent and Symmetric Hysteresis Based on Madelung’s Rules Cao, Kairui Li, Rui Sensors (Basel) Article Hysteresis is a kind of nonlinearity with memory, which is usually unwanted in practice. Many phenomenological models have been proposed to describe the observed hysteresis. For instance, the Prandtl-Ishlinskii (PI) model, which consists of several backlash operators, is the most widely used. On the other hand, the well-known Madelung’s rules are always used to validate hysteresis models. It is worth pointing out that the PI model obeys Madelung’s rules. In this paper, instead of considering these rules as criteria, we propose a modeling method for symmetric hysteresis by directly constructing the trajectory based on Madelung’s rules. In the proposed method, turning points are recorded and wiped out according to the input value. After the implementation of the recording and wiping-out mechanisms, the curve which the current trajectory moves along can be determined and then the trajectory can be described. Furthermore, the relationship between the proposed method and the PI model is also investigated. The effectiveness of the presented method is validated by simulation and experimental results. MDPI 2019-01-16 /pmc/articles/PMC6359643/ /pubmed/30654573 http://dx.doi.org/10.3390/s19020352 Text en © 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Cao, Kairui Li, Rui Modeling of Rate-Independent and Symmetric Hysteresis Based on Madelung’s Rules |
title | Modeling of Rate-Independent and Symmetric Hysteresis Based on Madelung’s Rules |
title_full | Modeling of Rate-Independent and Symmetric Hysteresis Based on Madelung’s Rules |
title_fullStr | Modeling of Rate-Independent and Symmetric Hysteresis Based on Madelung’s Rules |
title_full_unstemmed | Modeling of Rate-Independent and Symmetric Hysteresis Based on Madelung’s Rules |
title_short | Modeling of Rate-Independent and Symmetric Hysteresis Based on Madelung’s Rules |
title_sort | modeling of rate-independent and symmetric hysteresis based on madelung’s rules |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6359643/ https://www.ncbi.nlm.nih.gov/pubmed/30654573 http://dx.doi.org/10.3390/s19020352 |
work_keys_str_mv | AT caokairui modelingofrateindependentandsymmetrichysteresisbasedonmadelungsrules AT lirui modelingofrateindependentandsymmetrichysteresisbasedonmadelungsrules |