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

0582938 - MÚ 2025 RIV NL eng J - Journal Article
Al Janaideh, M. - Krejčí, P. - Monteiro, Giselle Antunes
Memory reduction of rate-dependent Prandtl-Ishlinskii compensators in applications on high-precision motion systems.
Physica B-Condensed Matter. Roč. 677, 15 March (2024), č. článku 415595. ISSN 0921-4526. E-ISSN 1873-2135
R&D Projects: GA ČR(CZ) GA20-14736S
Institutional support: RVO:67985840
Keywords : actuators * hysteresis * modeling * Prandtl-Ishlinskii
OECD category: Pure mathematics
Impact factor: 2.8, year: 2022
Method of publishing: Limited access
https://doi.org/10.1016/j.physb.2023.415595

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.
Permanent Link: https://hdl.handle.net/11104/0350982