Inverse rate-dependent Prandtl-Ishlinskii operators and applications

0578411 - MÚ 2024 RIV DE eng J - Journal Article
Al Janaideh, M. - Krejčí, P. - Monteiro, Giselle Antunes
Inverse rate-dependent Prandtl-Ishlinskii operators and applications.
Applications of Mathematics. Roč. 68, č. 6 (2023), s. 713-726. ISSN 0862-7940. E-ISSN 1572-9109
R&D Projects: GA ČR(CZ) GA20-14736S
Institutional support: RVO:67985840
Keywords : hysteresis * Prandtl-Ishlinskii operator * inverse rate-dependent Prandtl-Ishlinskii operator
OECD category: Pure mathematics
Impact factor: 0.7, year: 2022
Method of publishing: Limited access
https://doi.org/10.21136/AM.2023.0231-22

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.
Permanent Link: https://hdl.handle.net/11104/0347406