Modeling and Analysis of Duhem Hysteresis Operators With Butterfly Loops

• 成果类型: Article
• 署名作者: Vasquez-Beltran, Marco Augusto; Jayawardhana, Bayu; Peletier, Reynier F.
• 署名单位: Eindhoven University of Technology; University of Groningen; University of Groningen; Kapteyn Astronomical Institute
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3238177
• 发表日期: 2023
• 页码: 5977-5990
• 关键词: Hysteresis; magnetic hysteresis; nonlinear control systems

摘要

In this work, we study and analyze a class of Duhem hysteresis operators that can exhibit butterfly loops. We study first 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.