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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...

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Autores principales: Cao, Kairui, Li, Rui
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2019
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.
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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
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