Skip to main content
Log in

A novel leader following consensus approach for multi-agent systems with data loss

  • Regular Papers
  • Robot and Applications
  • Published:
International Journal of Control, Automation and Systems Aims and scope Submit manuscript

Abstract

The objective of this paper is to develop a novel consensus algorithm or protocol for multi-agent systems in the event of communication link failure over the network. The structure or topology of the system is modeled by an algebraic graph theory, and considered as a discrete time-invariant system with a second-order dynamics. Bernoulli distribution is applied to represent the data dropout during operation. The sufficient conditions for the stabilization controller design is developed by Lyapunov-based methodologies and Linear matrix inequality (LMIs) techniques. The feasibility of the given LMIs is analyzed to verify the stabilization of controller design, which ensures the MAS to achieve the consensus. Leader-following numerical simulations with a group of agents are successfully conducted based on the effect of data losses, initial values, communication weights, and number of agents to demonstrate the effectiveness of the novel consensus algorithm in this paper. Finally, experimental studies are carried out by using two Pioneer 3-DX mobile robots and one Pioneer 3-AT mobile robot as a team to verify the proposed work.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. R. M. Murray, “Recent research in cooperative control of multivehicle systems,” Journal of Dynamic Systems, Measurement, and Control, vol. 129, no. 5, pp. 571–583, 2007. [click]

    Article  Google Scholar 

  2. J. Lü, G. Chen and X. Yu, “Modelling, analysis and control of multi-agent systems: A brief overview,” IEEE International Symposium on Circuits and Systems (ISCAS), pp. 2103–2106, 2011.

    Google Scholar 

  3. W. Yu, G. Chen, W. Ren, J. Kurths, and W. X. Zheng, “Distributed higher order consensus protocols in multiagent dynamical systems,” IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 58, no. 8, pp. 1924–1932, 2011.

    Article  MathSciNet  Google Scholar 

  4. J. Zhu, J. Lu, and X. Yu, “Flocking of multi-agent nonholonomic systems with proximity graphs,” IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 60, no. 1, pp. 199–210, 2013.

    Article  MathSciNet  Google Scholar 

  5. Z. Li, Z. Duan, G. Chen, and L. Huang, “Consensus of multiagent systems and synchronization of complex networks: a unified viewpoint,” IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 57, no. 1, pp. 213–224, 2010.

    Article  MathSciNet  Google Scholar 

  6. W. Ren and R. W. Beard, “Consensus of second-order discrete-time multi-agent systems with nonuniform timedelays and dynamically changing topologies,” Automatica, vol. 45, no. 9, pp. 2154–2158, 2009. [click]

    Article  MathSciNet  Google Scholar 

  7. G. Ferrari-Trecate, L. Galbusera, M. P. E. Marciandi, and R. Scattolini, “A model predictive control scheme for consensus in multi-agent systems with single-integrator dynamics and input constraints,” Proc. of 46th IEEE Conference on Decision and Control, pp. 1492–1497, 2007.

    Google Scholar 

  8. Y. Zheng, H. Shao, and W. Pan, “Consensus problem of double-integrator dynamics system under time-varying networks,” Proc. of 7th Asian Control Conference (ASCC), pp. 343–348, 2009.

    Google Scholar 

  9. M. Yu, L. Wang, T. Chu, and F. Hao, “An LMI approach to networked control systems with data packet dropout and transmission delays,” Proc. of 43rd IEEE Conference on Decision and Control (CDC), vol. 4, pp. 3545–3550, 2004.

    Google Scholar 

  10. A. Jadbabaie, J. Lin, and A. S. Morse, “Coordination of groups of mobile autonomous agents using nearest neighbor rules,” IEEE Transactions on Automatic Control, vol. 48, no. 6, pp. 988–1001, 2003.

    Article  MathSciNet  Google Scholar 

  11. Y. Zhang and Y. P. Tian, “Consensus in networked multiagent systems with random packet loss,” International Conference on Physics and Control, Catania, Italy, 2009.

    Google Scholar 

  12. C. L. Liu and F. Liu. “Consensus analysis for multiple autonomous agents with input delay and communication delay,” International Journal of Control, Automation and Systems, vol. 10, no. 5, pp. 1005–1012, 2012. [click]

    Article  Google Scholar 

  13. S. Djaidja, Q. H. Wu, and H. Fang, “Leader-following consensus of double-integrator multi-agent systems with noisy measurements,” International Journal of Control, Automation and Systems, vol 13, no. 1, pp. 17–24, 2015. [click]

    Article  Google Scholar 

  14. H. Hongxiang, L. Yu, G. Chen, and G. Xie, “Secondorder consensus of multi-agent systems with unknown but bounded disturbance,” International Journal of Control, Automation and Systems, vol. 11, no. 2, pp. 258–267, 2013. [click]

    Article  Google Scholar 

  15. Z. Liu, X. You, H. Yang, and L. Zhao, “Leader-following Consensus of heterogeneous multi-agent systems with packet dropout,” International Journal of Control, Automation, and Systems, vol. 13, no. 5, pp. 1067–1075, 2015. [click]

    Article  Google Scholar 

  16. M. J. Park, O. M. Kwon, J. H. Park, S. M. Lee, and E. J. Cha, “A new analysis on leader-following consensus for switched multi-agent systems with time-varying probabilistic self-delays,” International Journal of Control, Automation and Systems, vol. 13, no. 3, pp. 611–619, 2015. [click]

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ya-Jun Pan.

Additional information

Recommended by Associate Editor Sooyeong Yi under the direction of Editor-in-Chief Young Hoon Joo.

Xiang Gong received his B.Eng Degree in Mechanical Engineering from Dalhousie University in the year of 2010. He later joined the Mechatronic and Advanced Control lab to focus on Multi-agent System Control, and received his MASc Degree at Department of Mechanical Engineering, Dalhousie University in the year of 2013. Currently, he is working with Fluor Canada as a Rotating and Specialty Equipment Engineer.

Ya-Jun Pan received the B.E. degree in Mechanical Engineering from Yanshan University in 1996, the M.E. degree in Mechanical Engineering from Zhejiang University in 1999 and the Ph.D degree in Electrical and Computer Engineering from the National University of Singapore in 2003. She held post-doctoral positions of CNRS in the Laboratoire d’Automatique de Grenoble (Current Name: GPISA-Lab), France and the Department of Electrical and Computer Engineering at the University of Alberta, Canada, in 2003 and 2004 respectively. Since January 2005, she has been with the Faculty of the Mechanical Engineering Department at Dalhousie University, Halifax, NS, Canada, and where she is currently a Professor. Her research interests are focused on the robust nonlinear control, networked control systems, intelligent transportation systems and collaborative multiple autonomous aerial / ground / underwater vehicles. She is a senior member of IEEE, a member of ASME and a Registered Professional Engineer in the Province of Nova Scotia, Canada.

Ajinkya Pawar received his B.Eng Degree in Mechanical Engineering from University of Mumbai, India in the year 2012. He is currently working towards a MASc Degree at the Department of Mechanical Engineering, Dalhousie University. His research interests are networked control systems, formation and consensus control of multi-agent systems.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gong, X., Pan, YJ. & Pawar, A. A novel leader following consensus approach for multi-agent systems with data loss. Int. J. Control Autom. Syst. 15, 763–775 (2017). https://doi.org/10.1007/s12555-015-0242-5

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12555-015-0242-5

Keywords

Navigation