Physics-Informed Neural Networks for Continuum Robots: Towards Fast Approximation of Static Cosserat Rod Theory

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Original languageEnglish
Title of host publication2024 IEEE International Conference on Robotics and Automation, ICRA 2024
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages17293-17299
Number of pages7
ISBN (electronic)9798350384574
ISBN (print)979-8-3503-8458-1
Publication statusPublished - 2024
Event2024 IEEE International Conference on Robotics and Automation, ICRA 2024 - Yokohama, Japan
Duration: 13 May 202417 May 2024

Publication series

NameProceedings - IEEE International Conference on Robotics and Automation
ISSN (Print)1050-4729

Abstract

Sophisticated models can accurately describe deformations of continuum robots while being computationally demanding, which limits their application. Especially when considering sampling-based path planning, the model has to be evaluated frequently, which can lead to substantially increased computation times. We present a new approach to compute the entire shape of a tendon-driven continuum robot by a physics-informed neural network (PINN). The underlying physics is modelled with the Cosserat rod theory and incorporated into the PINN's loss function. The boundary values for the training are obtained from a reference model, solved by the shooting method. Our approach allows for a computation of the learned Cosserat rod model multiple orders of magnitude faster than a publicly available reference model. The median position deviation from the reference model lies below 1mm (0.5% of the simulated robot length) for each of the robot's 20 disks.

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Cite this

Physics-Informed Neural Networks for Continuum Robots: Towards Fast Approximation of Static Cosserat Rod Theory. / Bensch, Martin; Job, Tim David; Habich, Tim Lukas et al.
2024 IEEE International Conference on Robotics and Automation, ICRA 2024. Institute of Electrical and Electronics Engineers Inc., 2024. p. 17293-17299 (Proceedings - IEEE International Conference on Robotics and Automation).

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Bensch, M, Job, TD, Habich, TL, Seel, T & Schappler, M 2024, Physics-Informed Neural Networks for Continuum Robots: Towards Fast Approximation of Static Cosserat Rod Theory. in 2024 IEEE International Conference on Robotics and Automation, ICRA 2024. Proceedings - IEEE International Conference on Robotics and Automation, Institute of Electrical and Electronics Engineers Inc., pp. 17293-17299, 2024 IEEE International Conference on Robotics and Automation, ICRA 2024, Yokohama, Japan, 13 May 2024. https://doi.org/10.1109/ICRA57147.2024.10610742
Bensch, M., Job, T. D., Habich, T. L., Seel, T., & Schappler, M. (2024). Physics-Informed Neural Networks for Continuum Robots: Towards Fast Approximation of Static Cosserat Rod Theory. In 2024 IEEE International Conference on Robotics and Automation, ICRA 2024 (pp. 17293-17299). (Proceedings - IEEE International Conference on Robotics and Automation). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICRA57147.2024.10610742
Bensch M, Job TD, Habich TL, Seel T, Schappler M. Physics-Informed Neural Networks for Continuum Robots: Towards Fast Approximation of Static Cosserat Rod Theory. In 2024 IEEE International Conference on Robotics and Automation, ICRA 2024. Institute of Electrical and Electronics Engineers Inc. 2024. p. 17293-17299. (Proceedings - IEEE International Conference on Robotics and Automation). doi: 10.1109/ICRA57147.2024.10610742
Bensch, Martin ; Job, Tim David ; Habich, Tim Lukas et al. / Physics-Informed Neural Networks for Continuum Robots : Towards Fast Approximation of Static Cosserat Rod Theory. 2024 IEEE International Conference on Robotics and Automation, ICRA 2024. Institute of Electrical and Electronics Engineers Inc., 2024. pp. 17293-17299 (Proceedings - IEEE International Conference on Robotics and Automation).
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title = "Physics-Informed Neural Networks for Continuum Robots: Towards Fast Approximation of Static Cosserat Rod Theory",
abstract = "Sophisticated models can accurately describe deformations of continuum robots while being computationally demanding, which limits their application. Especially when considering sampling-based path planning, the model has to be evaluated frequently, which can lead to substantially increased computation times. We present a new approach to compute the entire shape of a tendon-driven continuum robot by a physics-informed neural network (PINN). The underlying physics is modelled with the Cosserat rod theory and incorporated into the PINN's loss function. The boundary values for the training are obtained from a reference model, solved by the shooting method. Our approach allows for a computation of the learned Cosserat rod model multiple orders of magnitude faster than a publicly available reference model. The median position deviation from the reference model lies below 1mm (0.5% of the simulated robot length) for each of the robot's 20 disks.",
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AU - Bensch, Martin

AU - Job, Tim David

AU - Habich, Tim Lukas

AU - Seel, Thomas

AU - Schappler, Moritz

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