Inverse rate-dependent Prandtl-Ishlinskii operators and applications

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00578411" target="_blank" >RIV/67985840:_____/23:00578411 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.21136/AM.2023.0231-22" target="_blank" >https://doi.org/10.21136/AM.2023.0231-22</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.21136/AM.2023.0231-22" target="_blank" >10.21136/AM.2023.0231-22</a>

Result language
angličtina
Original language name
Inverse rate-dependent Prandtl-Ishlinskii operators and applications
Original language description
In the past years, we observed an increased interest in rate-dependent hysteresis models to characterize complex time-dependent nonlinearities in smart actuators. A natural way to include rate-dependence to the Prandtl-Ishlinskii model is to consider it as a linear combination of play operators whose thresholds are functions of time. In this work, we propose the extension of the class of rate-dependent Prandtl-Ishlinskii operators to the case of a whole continuum of play operators with time-dependent thresholds. We prove the existence of an analytical inversion formula, and illustrate its applicability in the study of error bounds for inverse compensation.
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
<a href="/en/project/GA20-14736S" target="_blank" >GA20-14736S: Hysteresis modeling in mathematical engineering</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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