State Space Representation of Jiles-Atherton Hysteresis Model and Application for Closed-Loop Control

Area of Science:

• Magnetics
• Materials Science
• Control Systems Engineering

Background:

• Hysteresis is a key property of magnetic materials.
• The Jiles-Atherton (J-A) model is widely used for simulating magnetic hysteresis due to its simplicity and physical interpretability.

Purpose of the Study:

• To develop a state space representation of the J-A hysteresis model for enhanced analysis and computation.
• To address and overcome the singularity issues in the J-A model at zero crossings.

Main Methods:

• Established a state space representation from the J-A model's fundamental equations.
• Employed local linearization for singularity approximation and S-function for model implementation.
• Validated the model using COMSOL simulations, experimental tests on permalloy, and particle swarm optimization (PSO) for parameter identification.

Main Results:

• The state space model accurately represents magnetic hysteresis loops, showing excellent agreement with simulation and experimental data.
• Parameter identification using PSO yielded precise results.
• A closed-loop control system based on the state space model demonstrated successful trajectory tracking.

Conclusions:

• The state space representation of the J-A model is feasible and effective.
• This approach has significant implications for applications like magnetic shielding and reducing magnetic interference in sensitive equipment.