Modeling and Analysis of Duhem Hysteresis Operators With Butterfly Loops

In this work we study and analyze a class of Duhem hysteresis operators that can exhibit butterfly loops. We study firstly the consistency property of such operator which corresponds to the existence of an attractive periodic solution when the operator is subject to a periodic input signal. Subseque...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 68; no. 10; pp. 1 - 14
Main Authors Vasquez-Beltran, M. A., Jayawardhana, B., Peletier, R. F.
Format Journal Article
LanguageEnglish
Published New York IEEE 01.10.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Analytical models
Biological system modeling
Hysteresis
Magnetic hysteresis
Mathematical models
Operators
Orbits
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ISSN0018-9286
1558-2523
DOI10.1109/TAC.2023.3238177

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Summary:In this work we study and analyze a class of Duhem hysteresis operators that can exhibit butterfly loops. We study firstly the consistency property of such operator which corresponds to the existence of an attractive periodic solution when the operator is subject to a periodic input signal. Subsequently, we study the two defining functions of the Duhem operator such that the corresponding periodic solutions can admit a butterfly input-output phase plot. We present a number of examples where the Duhem butterfly hysteresis operators are constructed using two zero-level set curves that satisfy some mild conditions.
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content type line 14
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2023.3238177