Memory reduction of rate-dependent Prandtl-Ishlinskii compensators in applications on high-precision motion systems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F24%3A00582938" target="_blank" >RIV/67985840:_____/24:00582938 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/68407700:21110/24:00382040

Výsledek na webu

<a href="https://doi.org/10.1016/j.physb.2023.415595" target="_blank" >https://doi.org/10.1016/j.physb.2023.415595</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.physb.2023.415595" target="_blank" >10.1016/j.physb.2023.415595</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Memory reduction of rate-dependent Prandtl-Ishlinskii compensators in applications on high-precision motion systems

Popis výsledku v původním jazyce

Inverse compensation of rate-dependent Prandtl–Ishlinskii operators with finitely many thresholds can be carried out explicitly under some structural conditions. However, if the number of thresholds is very high, the formulas become complicated. A simple and elegant framework for the investigation of such problems encompasses a recently proposed extension of the class of rate-dependent Prandtl-Ishlinskii operators to the case of a whole continuum of play operators with time-dependent thresholds. Indeed, such a theory allows for reducing the number of necessary thresholds in the compensation procedure and estimating the errors of the memory-discrete compensation in terms of the distance between the thresholds and weights of the individual plays. Following these results, our goal in this work is the validation of these theoretical models via numerical simulations and experimental results. In particular, we show that high accuracy of the hysteresis compensation algorithm can be achieved even with a relatively small number of thresholds.

Název v anglickém jazyce

Memory reduction of rate-dependent Prandtl-Ishlinskii compensators in applications on high-precision motion systems

Popis výsledku anglicky

Inverse compensation of rate-dependent Prandtl–Ishlinskii operators with finitely many thresholds can be carried out explicitly under some structural conditions. However, if the number of thresholds is very high, the formulas become complicated. A simple and elegant framework for the investigation of such problems encompasses a recently proposed extension of the class of rate-dependent Prandtl-Ishlinskii operators to the case of a whole continuum of play operators with time-dependent thresholds. Indeed, such a theory allows for reducing the number of necessary thresholds in the compensation procedure and estimating the errors of the memory-discrete compensation in terms of the distance between the thresholds and weights of the individual plays. Following these results, our goal in this work is the validation of these theoretical models via numerical simulations and experimental results. In particular, we show that high accuracy of the hysteresis compensation algorithm can be achieved even with a relatively small number of thresholds.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Physica B-Condensed Matter

ISSN

0921-4526

e-ISSN

1873-2135

Svazek periodika

677

Číslo periodika v rámci svazku

15 March

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

16

Strana od-do

415595

Kód UT WoS článku

001175889100001

EID výsledku v databázi Scopus

2-s2.0-85184059038