Modeling and Analysis of Duhem Hysteresis Operators With Butterfly Loops

被引：8

作者：

Vasquez-Beltran, Marco Augusto ^{[1
]}

Jayawardhana, Bayu ^{[2
]}

Peletier, Reynier F. ^{[3
]}

机构：

[1] Eindhoven Univ Technol, Autonomous & Complex Syst Grp, NL-5600 MB Eindhoven, Netherlands

[2] Univ Groningen, Fac Sci & Engn, Engn & Technol Inst Groningen, NL-9747 AG Groningen, Netherlands

[3] Univ Groningen, Kapteyn Astron Inst, NL-9747 AG Groningen, Netherlands

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2023年 / 68卷 / 10期

关键词：

Hysteresis; magnetic hysteresis; nonlinear control systems; MATHEMATICAL-MODELS; SYSTEMS; STABILITY;

D O I：

10.1109/TAC.2023.3238177

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

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.

引用

页码：5977 / 5990

页数：14