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

Marco Vasquez Beltran; Bayu Jayawardhana; Reynier Peletier

doi:10.1109/LCSYS.2020.3009423

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

Marco Vasquez Beltran^*, Bayu Jayawardhana, Reynier Peletier

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

4 Citations (Scopus)

27 Downloads (Pure)

Abstract

We study in this letter 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.

Original language	English
Article number	9141354
Pages (from-to)	1061-1066
Number of pages	6
Journal	IEEE Control Systems Letters
Volume	5
Issue number	3
Early online date	Jun-2020
DOIs	https://doi.org/10.1109/LCSYS.2020.3009423
Publication status	Published - Jul-2021
Event	59th IEEE Conference on Decision and Control - Jeju Island, Jeju Island, Korea, Republic of Duration: 14-Dec-2020 → 18-Dec-2020 https://cdc2020.ieeecss.org/

Keywords

Hysteresis
Relays
Mathematical model
Piezoelectric actuators
Mirrors
Mechatronics
control applications
iterative learning control
INVERSION

Access to Document

10.1109/LCSYS.2020.3009423

Recursive Algorithm for the Control of OutputRemnant of Preisach Hysteresis OperatorFinal publisher's version, 601 KBLicence: Taverne

http://arxiv.org/abs/2007.05866

Cite this

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title = "Recursive algorithm for the control of output remnant of Preisach hysteresis operator",

abstract = "We study in this letter 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.",

keywords = "Hysteresis, Relays, Mathematical model, Piezoelectric actuators, Mirrors, Mechatronics, control applications, iterative learning control, INVERSION",

author = "{Vasquez Beltran}, Marco and Bayu Jayawardhana and Reynier Peletier",

year = "2021",

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language = "English",

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journal = "IEEE Control Systems Letters",

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note = "59th IEEE Conference on Decision and Control ; Conference date: 14-12-2020 Through 18-12-2020",

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T1 - Recursive algorithm for the control of output remnant of Preisach hysteresis operator

AU - Vasquez Beltran, Marco

AU - Jayawardhana, Bayu

AU - Peletier, Reynier

PY - 2021/7

Y1 - 2021/7

N2 - We study in this letter 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.

AB - We study in this letter 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.

KW - Hysteresis

KW - Relays

KW - Mathematical model

KW - Piezoelectric actuators

KW - Mirrors

KW - Mechatronics

KW - control applications

KW - iterative learning control

KW - INVERSION

U2 - 10.1109/LCSYS.2020.3009423

DO - 10.1109/LCSYS.2020.3009423

M3 - Article

VL - 5

SP - 1061

EP - 1066

JO - IEEE Control Systems Letters

JF - IEEE Control Systems Letters

SN - 2475-1456

IS - 3

M1 - 9141354

T2 - 59th IEEE Conference on Decision and Control

Y2 - 14 December 2020 through 18 December 2020

ER -