Magnetic Position Estimation in Ferromagnetic Systems Involving Significant Hysteresis

Ryan Madson, Rajesh Rajamani

Research output: Contribution to journalArticle

Abstract

The proximity of a magnetic sensor to a magnet has been utilized for position measurement in many applications involving small ranges of motion. However, such position measurement becomes challenging when the application involves a ferromagnetic environment and larger ranges of motion. The movement of a magnet magnetizes and demagnetizes the ferromagnetic surroundings and creates significant hysteresis in the magnetic field versus position relationship. This relationship can no longer be represented by an algebraic mathematical function and needs to take the history of previous motions into consideration for calculation of position from magnetic field measurement. This paper presents a position estimation system that utilizes various models to represent the hysteresis behavior, including an interacting multiple model approach, a Preisach model and a modified Preisach model. The developed position estimation system is evaluated on a large hydraulic actuator used in mobile construction vehicle applications. Experimental results show that an unscented Kalman filter using the modified Preisach hysteresis model can provide a position estimate with an accuracy better than 2% of stroke, in spite of significant hysteresis.

Original languageEnglish (US)
JournalIEEE/ASME Transactions on Mechatronics
DOIs
StateAccepted/In press - May 31 2018

Fingerprint

Hysteresis
Position measurement
Magnets
Magnetic field measurement
Hydraulic actuators
Magnetic sensors
Kalman filters
Magnetic fields

Keywords

  • Magnetic hysteresis
  • Magnetic sensors
  • Perpendicular magnetic anisotropy
  • Pistons
  • Position estimation
  • Position measurement
  • Unscented Kalman Filter
  • hydraulic actuator
  • hysteresis

Cite this

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title = "Magnetic Position Estimation in Ferromagnetic Systems Involving Significant Hysteresis",
abstract = "The proximity of a magnetic sensor to a magnet has been utilized for position measurement in many applications involving small ranges of motion. However, such position measurement becomes challenging when the application involves a ferromagnetic environment and larger ranges of motion. The movement of a magnet magnetizes and demagnetizes the ferromagnetic surroundings and creates significant hysteresis in the magnetic field versus position relationship. This relationship can no longer be represented by an algebraic mathematical function and needs to take the history of previous motions into consideration for calculation of position from magnetic field measurement. This paper presents a position estimation system that utilizes various models to represent the hysteresis behavior, including an interacting multiple model approach, a Preisach model and a modified Preisach model. The developed position estimation system is evaluated on a large hydraulic actuator used in mobile construction vehicle applications. Experimental results show that an unscented Kalman filter using the modified Preisach hysteresis model can provide a position estimate with an accuracy better than 2{\%} of stroke, in spite of significant hysteresis.",
keywords = "Magnetic hysteresis, Magnetic sensors, Perpendicular magnetic anisotropy, Pistons, Position estimation, Position measurement, Unscented Kalman Filter, hydraulic actuator, hysteresis",
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N2 - The proximity of a magnetic sensor to a magnet has been utilized for position measurement in many applications involving small ranges of motion. However, such position measurement becomes challenging when the application involves a ferromagnetic environment and larger ranges of motion. The movement of a magnet magnetizes and demagnetizes the ferromagnetic surroundings and creates significant hysteresis in the magnetic field versus position relationship. This relationship can no longer be represented by an algebraic mathematical function and needs to take the history of previous motions into consideration for calculation of position from magnetic field measurement. This paper presents a position estimation system that utilizes various models to represent the hysteresis behavior, including an interacting multiple model approach, a Preisach model and a modified Preisach model. The developed position estimation system is evaluated on a large hydraulic actuator used in mobile construction vehicle applications. Experimental results show that an unscented Kalman filter using the modified Preisach hysteresis model can provide a position estimate with an accuracy better than 2% of stroke, in spite of significant hysteresis.

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