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

Result code in 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>
Alternative codes found
RIV/68407700:21110/24:00382040
Result on the web
<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>

Result language
angličtina
Original language name
Memory reduction of rate-dependent Prandtl-Ishlinskii compensators in applications on high-precision motion systems
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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