A fractional-order Duhem model of rate-dependent hysteresis for piezoelectric actuators

In this paper, a Fractional-Order Duhem Model (FODuhem) is proposed to describe the rate-dependent hysteresis nonlinearity of piezoelectric actuators (PEAs). A fractional-order operator is introduced on the basis of the traditional Duhem model, and the unique nonlocal memory property of the fraction...

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Main Authors: Liu Yang, Ruobing Zhong, Dongjie Li, Zhan Li
Format: Article
Language:English
Published: SAGE Publishing 2022-11-01
Series:Measurement + Control
Online Access:https://doi.org/10.1177/00202940221092140
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author Liu Yang
Ruobing Zhong
Dongjie Li
Zhan Li
author_facet Liu Yang
Ruobing Zhong
Dongjie Li
Zhan Li
author_sort Liu Yang
collection DOAJ
description In this paper, a Fractional-Order Duhem Model (FODuhem) is proposed to describe the rate-dependent hysteresis nonlinearity of piezoelectric actuators (PEAs). A fractional-order operator is introduced on the basis of the traditional Duhem model, and the unique nonlocal memory property of the fractional-order operator makes it possible to describe the memory effect inherent in hysteresis. A differential evolutionary algorithm was used to identify the parameters of the FODuhem model. Finally, experimental results clearly show that the FODuhem model can better describe the rate-dependent hysteresis behavior of piezoelectric actuators compared with the conventional Duhem model.
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spelling doaj.art-b99d537befe64e5e88a7185fedaba3cd2022-12-22T04:38:07ZengSAGE PublishingMeasurement + Control0020-29402022-11-015510.1177/00202940221092140A fractional-order Duhem model of rate-dependent hysteresis for piezoelectric actuatorsLiu Yang0Ruobing Zhong1Dongjie Li2Zhan Li3School of Automation, Harbin University of Science and Technology, Harbin, ChinaSchool of Automation, Harbin University of Science and Technology, Harbin, ChinaKey Laboratory of Complex Intelligent Systems and Integration in Heilongjiang Province, Harbin, ChinaSchool of Aeronautics, Harbin Institute of Technology, Harbin, ChinaIn this paper, a Fractional-Order Duhem Model (FODuhem) is proposed to describe the rate-dependent hysteresis nonlinearity of piezoelectric actuators (PEAs). A fractional-order operator is introduced on the basis of the traditional Duhem model, and the unique nonlocal memory property of the fractional-order operator makes it possible to describe the memory effect inherent in hysteresis. A differential evolutionary algorithm was used to identify the parameters of the FODuhem model. Finally, experimental results clearly show that the FODuhem model can better describe the rate-dependent hysteresis behavior of piezoelectric actuators compared with the conventional Duhem model.https://doi.org/10.1177/00202940221092140
spellingShingle Liu Yang
Ruobing Zhong
Dongjie Li
Zhan Li
A fractional-order Duhem model of rate-dependent hysteresis for piezoelectric actuators
Measurement + Control
title A fractional-order Duhem model of rate-dependent hysteresis for piezoelectric actuators
title_full A fractional-order Duhem model of rate-dependent hysteresis for piezoelectric actuators
title_fullStr A fractional-order Duhem model of rate-dependent hysteresis for piezoelectric actuators
title_full_unstemmed A fractional-order Duhem model of rate-dependent hysteresis for piezoelectric actuators
title_short A fractional-order Duhem model of rate-dependent hysteresis for piezoelectric actuators
title_sort fractional order duhem model of rate dependent hysteresis for piezoelectric actuators
url https://doi.org/10.1177/00202940221092140
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