The Prandtl–Ishlinskii Hysteresis Model: Fundamentals of the Model and Its Inverse Compensator [Lecture Notes]
Mohammad Al Janaideh, Mohammad Al Saaideh, Xiaobo Tan
Abstract
Hysteresis is a nonlinear phenomenon arising in diverse fields such as mechanics, biology, electronics, and economics <xref ref-type="bibr" rid="ref1" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">[1]</xref> (see “Summary”). In particular, hysteresis is ubiquitously exhibited by various smart materials, such as piezoelectrics, magnetostrictives, and shape memory alloys <xref ref-type="bibr" rid="ref2" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">[2]</xref> , <xref ref-type="bibr" rid="ref3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">[3]</xref> . These materials show inherent coupling between mechanical properties and electrical/magnetic/thermal fields; therefore, they can be used as sensors and actuators. For different smart material applications, hysteresis is a main source of nonlinearity, which creates challenges in the control of these systems.