Recursive algorithm for the control of output remnant of Preisach hysteresis operator

TL;DR

This paper introduces a recursive control algorithm for managing the remanent output of Preisach hysteresis operators in actuator systems, ensuring convergence to desired remnant levels with proven guarantees and simulation validation.

Contribution

A novel recursive algorithm for controlling hysteresis remnant behavior in Preisach models, with convergence proof and simulation demonstration.

Findings

Algorithm guarantees convergence to desired remnant

Proven under mild conditions

Effective in simulation studies

Abstract

We study in this paper the control of hysteresis-based actuator systems where its remanence behavior (e.g., the remaining memory when the actuation signal is set to zero) must follow a desired reference point. We present a recursive algorithm for the output regulation of the hysteresis remnant behavior described by Preisach operators. Under some mild conditions, we prove that our proposed algorithm guarantees that the output remnant converges to a desired value. Simulation result shows the efficacy of our proposed algorithm.