Skip to main content

Towards Flying Carpet: Dynamics Modeling, and Differential-Flatness-Based Control and Planning

  • Conference paper
  • First Online:
  • 626 Accesses

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1787))

Abstract

Aerial systems assembled from multiple modules have the potential to perform tasks that are difficult for traditional aerial vehicles. In this work, we propose a novel aerial system, Carpet, which is composed by a matrix of quadrotor modules. In Carpet, a column of quadrotor modules connects to the neighbouring column via revolute joints. By adjusting the joint angles, Carpet is capable of working in flight mode and terrestrial mode. This is the first time that UAV assembly with this configuration is analyzed. The terrestrial mode could potentially increase the energy efficiency of aerial systems. While in flight mode, Carpet can fold up or expand to adapt to different tasks or environments, e.g., curling up to U form can make it more compact and agile when passing through narrow channels. The dynamics of Carpet is investigated. It is found that the entire Carpet in flight mode can produce 5D force/torque, and the joints connecting columns do not need extra actuators. The differential flatness of Carpet is analyzed. The motion controller and the trajectory generator are designed based on the differential flatness. The proposed trajectory planning method is able to guide Carpet to pass through narrow corridors. Numerical simulations are presented, illustrating the feasibility of the proposed Carpet.

Supported by the National Natural Science Foundation of China under Grant 62173037, National Key R. D. Program of China, and State Key Laboratory of Robotics and Systems (HIT).

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   89.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. Cao, Z., Fu, C., Ye, J., Li, B., Li, Y.: HiFT: hierarchical feature transformer for aerial tracking. In: Proceedings of the IEEE/CVF International Conference on Computer Vision (ICCV), pp. 15457–15466 (2021)

    Google Scholar 

  2. Zhang, Z., Scaramuzza, D.: Fisher information field: an efficient and differentiable map for perception-aware planning. CoRR, vol. abs/2008.03324 (2020). https://arxiv.org/abs/2008.03324

  3. Yu, Y., Li, P., Gong, P.: Finite-time geometric control for underactuated aerial manipulators with unknown disturbances. Int. J. Robust Nonlinear Control 30(13), 5040–5061 (2020). https://onlinelibrary.wiley.com/doi/abs/10.1002/rnc.5041

  4. Hamaza, S., Georgilas, I., Heredia, G., Ollero, A., Richardson, T.: Design, modeling, and control of an aerial manipulator for placement and retrieval of sensors in the environment. J. Field Robot. 37(7), 1224–1245 (2020). https://onlinelibrary.wiley.com/doi/abs/10.1002/rob.21963

  5. Cardona, G., Tellez-Castro, D., Mojica-Nava, E.: Cooperative transportation of a cable-suspended load by multiple quadrotors. IFAC-PapersOnLine 52(20), 145–150 (2019). 8th IFAC Workshop on Distributed Estimation and Control in Networked Systems NECSYS 2019. https://www.sciencedirect.com/science/article/pii/S2405896319319998

  6. Yu, Y., Lippiello, V.: 6D pose task trajectory tracking for a class of 3D aerial manipulator from differential flatness. IEEE Access 7, 52257–52265 (2019)

    Article  Google Scholar 

  7. Lee, T.: Geometric control of quadrotor UAVs transporting a cable-suspended rigid body. IEEE Trans. Control Syst. Technol. 26(1), 255–264 (2018)

    Article  Google Scholar 

  8. Six, D., Briot, S., Chriette, A., Martinet, P.: The kinematics, dynamics and control of a flying parallel robot with three quadrotors. IEEE Robot. Autom. Lett. 3(1), 559–566 (2018)

    Article  Google Scholar 

  9. Nguyen, H., Park, S., Park, J., Lee, D.: A novel robotic platform for aerial manipulation using quadrotors as rotating thrust generators. IEEE Trans. Robot. 34(2), 353–369 (2018)

    Article  Google Scholar 

  10. Sanalitro, D., Tognon, M., Cano, A.J., Cort, J., Franchi, A.: Indirect force control of a cable-suspended aerial multi-robot manipulator. IEEE Robot. Autom. Lett. 7(3), 6726–6733 (2022)

    Article  Google Scholar 

  11. Nguyen, H., Dang, T., Alexis, K.: The reconfigurable aerial robotic chain: modeling and control. In: IEEE International Conference on Robotics and Automation (ICRA) 2020, pp. 5328–5334 (2020)

    Google Scholar 

  12. Zhao, M., Nagato, K., Okada, K., Inaba, M., Nakao, M.: Forceful valve manipulation with arbitrary direction by articulated aerial robot equipped with thrust vectoring apparatus. IEEE Robot. Autom. Lett. 7(2), 4893–4900 (2022)

    Article  Google Scholar 

  13. Anzai, T., Zhao, M., Murooka, M., Shi, F., Okada, K., Inaba, M.: Design, modeling and control of fully actuated 2D transformable aerial robot with 1 DoF thrust vectorable link module. In: IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) 2019, pp. 2820–2826 (2019)

    Google Scholar 

  14. Saldaña, D., Gabrich, B., Li, G., Yim, M., Kumar, V.: Modquad: the flying modular structure that self-assembles in midair. In: IEEE International Conference on Robotics and Automation (ICRA) 2018, pp. 691–698 (2018)

    Google Scholar 

  15. Fabris, A., Kleber, K., Falanga, D., Scaramuzza, D.: Geometry-aware compensation scheme for morphing drones. In: IEEE International Conference on Robotics and Automation (ICRA) 2021, pp. 592–598 (2021)

    Google Scholar 

  16. Kalantari, A., Spenko, M.: Modeling and performance assessment of the HyTAQ, a hybrid terrestrial/aerial quadrotor. IEEE Trans. Robot. 30(5), 1278–1285 (2014)

    Article  Google Scholar 

  17. Kalantari, A., Spenko, M.: Design and experimental validation of HyTAQ, a hybrid terrestrial and aerial quadrotor. In: 2013 IEEE International Conference on Robotics and Automation, pp. 4445–4450 (2013)

    Google Scholar 

  18. Murray, R.M., Rathinam, M., Sluis, W.: Differential flatness of mechanical control systems: a catalog of prototype systems. In: ASME International Mechanical Engineering Congress and Exposition. Citeseer (1995)

    Google Scholar 

  19. Mellinger, D., Kumar, V.: Minimum snap trajectory generation and control for quadrotors. In: IEEE International Conference on Robotics and Automation 2011, pp. 2520–2525 (2011)

    Google Scholar 

  20. Yu, Y., Ding, X.: A global tracking controller for underactuated aerial vehicles: design, analysis, and experimental tests on quadrotor. IEEE/ASME Trans. Mechatron. 21(5), 2499–2511 (2016)

    Article  Google Scholar 

  21. Yu, Y., Shi, C., Shan, D., Lippiello, V., Yang, Y.: A hierarchical control scheme for multiple aerial vehicle transportation systems with uncertainties and state/input constraints. Appl. Math. Model. 109, 651–678 (2022). https://www.sciencedirect.com/science/article/pii/S0307904X22002268

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yushu Yu .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Sun, J., Yu, Y., Xu, B. (2023). Towards Flying Carpet: Dynamics Modeling, and Differential-Flatness-Based Control and Planning. In: Sun, F., Cangelosi, A., Zhang, J., Yu, Y., Liu, H., Fang, B. (eds) Cognitive Systems and Information Processing. ICCSIP 2022. Communications in Computer and Information Science, vol 1787. Springer, Singapore. https://doi.org/10.1007/978-981-99-0617-8_24

Download citation

  • DOI: https://doi.org/10.1007/978-981-99-0617-8_24

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-99-0616-1

  • Online ISBN: 978-981-99-0617-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics