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Cited by 194

The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.

Magnetic control of continuum devices

Edelmann, Janis, Petruska, Andrew J, Nelson, Bradley J·2017·The International Journal of Robotics Research

Abstract

In this paper we apply Cosserat rod theory to catheters with permanent magnetic components that are subject to spatially varying magnetic fields. The resulting model formulation captures the magnetically coupled catheter behavior and provides numerical solutions for rod equilibrium configurations in real-time. The model is general, covering cases with different catheter geometries, multiple magnetic components, and various boundary constraints. The necessary Jacobians for quasi-static, closed-loop control using an electromagnetic coil system and a motorized advancer are derived and incorporated into a visual-feedback controller. We address the issue of solution bifurcations caused by the magnetic field by proposing an additional, stabilizing control method that makes use of system redundancies. We demonstrate the effectiveness of the model by performing 3D tip-position trajectories with root-mean-square distance errors of 2.7 mm in open-loop, 0.30 mm in closed-loop, and 0.42 mm in stabilizing closed-loop modes. The stabilizing controller achieved on average a factor of 1.6 increase in the restoring wrenches for the least stable direction.

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Metadata

Authors
Edelmann, J., Petruska, A. J., & Nelson, B. J.
Venue
The International Journal of Robotics Research
Published
2017-01
Volume
36
Issue
1
Pages
68-85
ISSN
  • 0278-3649 (ISSN-L)
  • 1741-3176
OpenAlex
W2575426328
Cited by
194
References
1
FWCI
5.35
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Magnetic control of continuum devices. https://app.cochat.ai/papers/10.1177/0278364916683443
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Edelmann, J., Petruska, A. J., & Nelson, B. J. (2017). Magnetic control of continuum devices. The International Journal of Robotics Research. https://doi.org/10.1177/0278364916683443

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.