Geodesic
Inverse rate-dependent Prandtl-Ishlinskii operators and applications
Applications of Mathematics, Tome 68 (2023) no. 6, pp. 713-726.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
DOI : 10.21136/AM.2023.0231-22
Classification : 47J40, 74N30
Keywords: hysteresis; Prandtl-Ishlinskii operator; inverse rate-dependent Prandtl-Ishlinskii operator 
@article{10_21136_AM_2023_0231_22,
     author = {Al Janaideh, Mohammad and Krej\v{c}{\'\i}, Pavel and Monteiro, Giselle Antunes},
     title = {Inverse rate-dependent {Prandtl-Ishlinskii} operators and applications},
     journal = {Applications of Mathematics},
     pages = {713--726},
     publisher = {mathdoc},
     volume = {68},
     number = {6},
     year = {2023},
     doi = {10.21136/AM.2023.0231-22},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.2023.0231-22/}
}
TY  - JOUR
AU  - Al Janaideh, Mohammad
AU  - Krejčí, Pavel
AU  - Monteiro, Giselle Antunes
TI  - Inverse rate-dependent Prandtl-Ishlinskii operators and applications
JO  - Applications of Mathematics
PY  - 2023
SP  - 713
EP  - 726
VL  - 68
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.2023.0231-22/
DO  - 10.21136/AM.2023.0231-22
LA  - en
ID  - 10_21136_AM_2023_0231_22
ER  - 
%0 Journal Article
%A Al Janaideh, Mohammad
%A Krejčí, Pavel
%A Monteiro, Giselle Antunes
%T Inverse rate-dependent Prandtl-Ishlinskii operators and applications
%J Applications of Mathematics
%D 2023
%P 713-726
%V 68
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.2023.0231-22/
%R 10.21136/AM.2023.0231-22
%G en
%F 10_21136_AM_2023_0231_22
Al Janaideh, Mohammad; Krejčí, Pavel; Monteiro, Giselle Antunes. Inverse rate-dependent Prandtl-Ishlinskii operators and applications. Applications of Mathematics, Tome 68 (2023) no. 6, pp. 713-726. doi : 10.21136/AM.2023.0231-22. http://geodesic.mathdoc.fr/articles/10.21136/AM.2023.0231-22/

Cité par Sources :