Parameter Estimation for Model-Based Sensing of Magneto-Mechanical Resonators
Abstract
Magneto-mechanical resonators (MMRs) represent a recently proposed type of passive sensor that enables the estimation of its pose as well as sensing other parameters in its environment. The working principle of MMRs entails an excitation of the sensors by oscillating magnetic fields, followed by a readout process facilitated by inductive receiver coils. The sensing technology relies on real-time parameter estimation. This encompasses the solution of a nonlinear inverse problem, with the induced signals and a suitable forward model as inputs. The aim of this paper is twofold: first, to introduce a reference model and simplified models for the MMR dynamics and inductive readout, and second, to provide robust and real-time capable methods to estimate the model parameters. The effectiveness of the presented methods is evaluated in terms of their real-time potential, precision, and accuracy. All presented methods demonstrate the capacity to estimate the measured signal, with the simplified methods reducing the corresponding parameter estimation time by up to two orders of magnitude at the expense of less than 4% deviation for large maximum deflection angles.
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BibTeX
@article{reiss2026parameter,
title = {{Parameter Estimation for Model-Based Sensing of Magneto-Mechanical Resonators}},
author = {Sarah Reiss and Tobias Knopp and Justin Ackers and Jonas Faltinath and Fabian Mohn and Marija Boberg and Nora Timm and Martin Möddel},
journal = {Communications Physics},
year = {2026},
month = oct,
doi = {10.1038/s42005-026-02884-1},
url = {https://www.nature.com/articles/s42005-026-02884-1},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Parameter Estimation for Model-Based Sensing of Magneto-Mechanical Resonators
AU - Sarah Reiss
AU - Tobias Knopp
AU - Justin Ackers
AU - Jonas Faltinath
AU - Fabian Mohn
AU - Marija Boberg
AU - Nora Timm
AU - Martin Möddel
PY - 2026
DA - 2026/10/01
JO - Communications Physics
DO - 10.1038/s42005-026-02884-1
UR - https://www.nature.com/articles/s42005-026-02884-1
AB - Magneto-mechanical resonators (MMRs) represent a recently proposed type of passive sensor that enables the estimation of its pose as well as sensing other parameters in its environment. The working principle of MMRs entails an excitation of the sensors by oscillating magnetic fields, followed by a readout process facilitated by inductive receiver coils. The sensing technology relies on real-time parameter estimation. This encompasses the solution of a nonlinear inverse problem, with the induced signals and a suitable forward model as inputs. The aim of this paper is twofold: first, to introduce a reference model and simplified models for the MMR dynamics and inductive readout, and second, to provide robust and real-time capable methods to estimate the model parameters. The effectiveness of the presented methods is evaluated in terms of their real-time potential, precision, and accuracy. All presented methods demonstrate the capacity to estimate the measured signal, with the simplified methods reducing the corresponding parameter estimation time by up to two orders of magnitude at the expense of less than 4% deviation for large maximum deflection angles.
SN - 2399-3650
ER -