Article
| Title: | Inverse rate-dependent Prandtl-Ishlinskii operators and applications (English) |
| Author: | Al Janaideh, Mohammad |
| Author: | Krejčí, Pavel |
| Author: | Monteiro, Giselle Antunes |
| Language: | English |
| Journal: | Applications of Mathematics |
| ISSN: | 0862-7940 (print) |
| ISSN: | 1572-9109 (online) |
| Volume: | 68 |
| Issue: | 6 |
| Year: | 2023 |
| Pages: | 713-726 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | 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. (English) |
| Keyword: | hysteresis |
| Keyword: | Prandtl-Ishlinskii operator |
| Keyword: | inverse rate-dependent Prandtl-Ishlinskii operator |
| MSC: | 47J40 |
| MSC: | 74N30 |
| DOI: | 10.21136/AM.2023.0231-22 |
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| Date available: | 2023-11-23T12:12:02Z |
| Last updated: | 2023-11-24 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/151937 |
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