Skip to main content

Consensus Control in Networked Flexible-Joint Manipulator Systems via Energy Shaping

  • Conference paper
  • First Online:
Proceedings of 2021 Chinese Intelligent Systems Conference

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 805))

  • 1848 Accesses

Abstract

This brief deals with the problem of distributed consensus control for networked flexible-joint manipulator systems formulated by Euler-Lagrange (EL) dynamics by using energy-shaping methodology plus damping injection. A novel decentralized controller is proposed to solve the leaderless consensus problems with undirected network topology. The total energy of the systems and the controllers, as a suitable Lyapunov function, are provided to ensure the stability of the closed-loop controlled systems. Subsequently, the simulation result is provided to demonstrate the theoretical result.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 349.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 449.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 449.99
Price excludes VAT (USA)
  • Durable hardcover 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

Institutional subscriptions

References

  1. Kamel, M.A., Ghamry, K.A., Zhang, Y.: Real-time fault-tolerant cooperative control of multiple UAVs-UGVs in the presence of actuator faults. J. Intell. Robot. Syst. 88, 469–480 (2017). https://doi.org/10.1007/s10846-016-0463-8

  2. Qi, Y., Wang, J., Shan, J.: Aerial cooperative transporting and assembling control using multiple quadrotor-manipulator systems. Int. J. Syst. Sci. 49, 662–676 (2018). https://doi.org/10.1080/00207721.2017.1412538

  3. Dong, W.: Robust formation control of multiple wheeled mobile robots. J. Intell. Robot. Syst. 62, 547–565 (2011). https://doi.org/10.1007/s10846-010-9451-6

  4. Kim, J., Jeon, J., Kim, S.: Cooperative control strategy of energy storage system and microsources for stabilizing the microgrid during islanded operation. IEEE Trans. Power Electron. 25, 3037–3048. (2010). https://doi.org/10.1109/TPEL.2010.2073488

  5. Nu\(\tilde{n}\)o, E., Sarras, I., Basañez, L.: Consensus in networks of nonidentical Euler-Lagrange systems using P+d controllers. IEEE Trans. Robot. 29, 1503–1509 (2013). https://doi.org/10.1109/TRO.2013.2279572

  6. Nu\(\tilde{n}\)o, E., Valle, D., Sarras, I., Basañez, L.: Leader-follower and leaderless consensus in networks of flexible-joint manipulators. Eur. J. Contr. 20, 249–258 (2014). https://doi.org/10.1016/j.ejcon.2014.07.003

  7. Avila-Becerril, S., Espinosa-Perez, P., Panteley, E.: Consensus control of flexible joint robots. Int J. Contr. 88, 1201–1208 (2015). https://doi.org/10.1080/00207179.2014.1000379

  8. Cui, M., Wu, Z.: Trajectory tracking of flexible joint manipulators actuated by DC-motors under random disturbances. J. Franklin I. 356, 9330–9343 (2019). https://doi.org/10.1016/j.jfranklin.2019.08.038

  9. Zhao, P., Zhou, Y.: Active vibration control of flexible-joint manipulators using accelerometers. Ind. Robot. 47, 33–44 (2019). https://doi.org/10.1108/IR-07-2019-0144

  10. Nu\(\tilde{n}\)o, E., Ortega, R.: Achieving consensus of Euler-Lagrange agents with interconnecting delays and without velocity measurements via passivity-based control. IEEE Trans. Contr. Syst. Technol. 26, 222–232 (2017). https://doi.org/10.1109/TCST.2017.2661822

  11. Cruz-Zavala, E., Nu\(\tilde{n}\)o, E., Moreno, J.: Finite-time consensus of Euler-Lagrange agents without velocity measurements via energy shaping. Int. J. Robust Nonlinear Contr. 29, 6006–6030 (2019). https://doi.org/10.1002/rnc.4704

Download references

Funding

This work is supported by the National Science Foundation of China (Nos. 51875331).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jin Zhou .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 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

Zheng, B., Miao, Z., Zhou, J. (2022). Consensus Control in Networked Flexible-Joint Manipulator Systems via Energy Shaping. In: Jia, Y., Zhang, W., Fu, Y., Yu, Z., Zheng, S. (eds) Proceedings of 2021 Chinese Intelligent Systems Conference. Lecture Notes in Electrical Engineering, vol 805. Springer, Singapore. https://doi.org/10.1007/978-981-16-6320-8_10

Download citation

Publish with us

Policies and ethics