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Physics-Informed Neural Network for Multirotor Slung Load Systems Modeling (2405.09428v1)

Published 15 May 2024 in cs.RO

Abstract: Recent advances in aerial robotics have enabled the use of multirotor vehicles for autonomous payload transportation. Resorting only to classical methods to reliably model a quadrotor carrying a cable-slung load poses significant challenges. On the other hand, purely data-driven learning methods do not comply by design with the problem's physical constraints, especially in states that are not densely represented in training data. In this work, we explore the use of physics informed neural networks to learn an end-to-end model of the multirotor-slung-load system and, at a given time, estimate a sequence of the future system states. An LSTM encoder decoder with an attention mechanism is used to capture the dynamics of the system. To guarantee the cohesiveness between the multiple predicted states of the system, we propose the use of a physics-based term in the loss function, which includes a discretized physical model derived from first principles together with slack variables that allow for a small mismatch between expected and predicted values. To train the model, a dataset using a real-world quadrotor carrying a slung load was curated and is made available. Prediction results are presented and corroborate the feasibility of the approach. The proposed method outperforms both the first principles physical model and a comparable neural network model trained without the physics regularization proposed.

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References (13)
  1. M. Raissi, P. Perdikaris, and G. Karniadakis, “Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations,” Journal of Computational Physics, vol. 378, pp. 686–707, 2019.
  2. D. Gedon, N. Wahlström, T. B. Schön, and L. Ljung, “Deep state space models for nonlinear system identification,” IFAC-PapersOnLine, vol. 54, no. 7, pp. 481–486, 2021, 19th IFAC Symposium on System Identification SYSID 2021. [Online]. Available: https://www.sciencedirect.com/science/article/pii/S2405896321011800
  3. N. Mohajerin, M. Mozifian, and S. Waslander, “Deep learning a quadrotor dynamic model for multi-step prediction,” in 2018 IEEE International Conference on Robotics and Automation (ICRA), 2018, pp. 2454–2459.
  4. P. Karle, F. Török, M. Geisslinger, and M. Lienkamp, “Mixnet: Physics constrained deep neural motion prediction for autonomous racing,” IEEE Access, pp. 1–1, 2023.
  5. X. Liang, H. Yu, Z. Zhang, Y. Wang, N. Sun, and Y. Fang, “Unmanned quadrotor transportation systems with payload hoisting/lowering: Dynamics modeling and controller design,” in 2020 5th International Conference on Advanced Robotics and Mechatronics (ICARM), 2020, pp. 666–671.
  6. K. Champion, B. Lusch, J. N. Kutz, and S. L. Brunton, “Data-driven discovery of coordinates and governing equations,” Proceedings of the National Academy of Sciences, vol. 116, no. 45, pp. 22 445–22 451, 2019.
  7. E. A. Antonelo, E. Camponogara, L. O. Seman, E. R. de Souza, J. P. Jordanou, and J. F. Hübner, “Physics-informed neural nets-based control,” CoRR, vol. abs/2104.02556, 2021. [Online]. Available: https://arxiv.org/abs/2104.02556
  8. J. Nicodemus, J. Kneifl, J. Fehr, and B. Unger, “Physics-informed neural networks-based model predictive control for multi-link manipulators,” IFAC-PapersOnLine, vol. 55, no. 20, pp. 331–336, 2022, 10th Vienna International Conference on Mathematical Modelling MATHMOD 2022.
  9. S. L. Brunton, J. L. Proctor, and J. N. Kutz, “Discovering governing equations from data by sparse identification of nonlinear dynamical systems,” Proceedings of the National Academy of Sciences, vol. 113, no. 15, pp. 3932–3937, 2016.
  10. G. Yu, D. Cabecinhas, R. Cunha, and C. Silvestre, “Nonlinear backstepping control of a quadrotor-slung load system,” IEEE/ASME Transactions on Mechatronics, vol. 24, no. 5, pp. 2304–2315, 2019.
  11. Y. Zhou, C. Barnes, J. Lu, J. Yang, and H. Li, “On the continuity of rotation representations in neural networks,” in Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2019, pp. 5745–5753.
  12. D. Bahdanau, K. Cho, and Y. Bengio, “Neural machine translation by jointly learning to align and translate,” in 3rd International Conference on Learning Representations, ICLR 2015, San Diego, CA, USA, May 7-9, 2015, Conference Track Proceedings, Y. Bengio and Y. LeCun, Eds., 2015. [Online]. Available: http://arxiv.org/abs/1409.0473
  13. D. P. Kingma and J. Ba, “Adam: A method for stochastic optimization,” in 3rd International Conference on Learning Representations, ICLR 2015, San Diego, CA, USA, May 7-9, 2015, Conference Track Proceedings, Y. Bengio and Y. LeCun, Eds., 2015. [Online]. Available: http://arxiv.org/abs/1412.6980

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