Skip to main content
SpringerLink
Log in

Distributed Event-Triggered Consensus Control of Neutrally Stable Linear Multi-agent Systems

  • Conference paper
  • First Online:
Book cover Intelligent Robotics and Applications (ICIRA 2017)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10462))

Included in the following conference series:

Abstract

This paper considers the distributed event-triggered consensus control problem of neutrally stable linear multi-agent systems. We design distributed event-triggered protocols, consisting of consensus control laws and triggering functions, under which consensus is achieved and the Zeno behavior can be excluded. Compared to the previous related works, our main contribution is that the proposed protocols are fully distributed and scalable, whose design does not rely on any global information of the network graph. Meanwhile, continuous communications are not required for either control laws updating or triggering functions monitoring so as to reduce the communication frequency.

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

Access this chapter

Log in via an institution

Institutional subscriptions

Notes

  1. 1.

    A matrix \(A\in \mathbf C^{n\times n}\) is neutrally stable in the continuous-time sense if it has no eigenvalue with positive real part and the Jordan block corresponding to any eigenvalue on the imaginary axis is of size one.

References

  1. Olfati-Saber, R., Fax, J., Murray, R.: Consensus and cooperation in networked multi-agent systems. Proc. IEEE 95(1), 215–233 (2007)

    Article  MATH  Google Scholar 

  2. Olfati-Saber, R., Murray, R.: Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans. Autom. Control 49(9), 1520–1533 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  3. Ren, W., Beard, R.W., Atkins, E.M.: Information consensus in multivehicle cooperative control. IEEE Control Syst. Mag. 27(2), 71–82 (2007)

    Article  Google Scholar 

  4. Li, Z., Duan, Z., Chen, G., Huang, L.: Consensus of multiagent systems and synchronization of complex networks: a unified viewpoint. IEEE Trans. Circ. Syst. 57(1), 213–224 (2010)

    MathSciNet  Google Scholar 

  5. Li, Z., Ren, W., Liu, X., Xie, L.: Distributed consensus of linear multi-agent systems with adaptive dynamic protocols. Automatica 49(7), 1986–1995 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  6. Li, Z., Liu, X., Ren, W., Xie, L.: Distributed tracking control for linear multiagent systems with a leader of bounded unknown input. IEEE Trans. Autom. Control 58(2), 518–523 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  7. Li, Z., Duan, Z.: Cooperative Control of Multi-agent Systems: A Consensus Region Approach. CRC Press, Boca Raton (2014)

    Book  Google Scholar 

  8. Yang, D., Ren, W., Liu, X., Chen, W.: Decentralized event-triggered consensus for linear multi-agent systems under general directed graphs. Automatica 69, 242–249 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  9. Tabuada, P.: Event-triggered real-time scheduling of stabilizing control tasks. IEEE Trans. Autom. Control 52(9), 1680–1685 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  10. Dimarogonas, D.V., Frazzoli, E., Johansson, K.H.: Distributed event-triggered control for multi-agent systems. IEEE Trans. Autom. Control 57(5), 1291–1297 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  11. Xie, D., Xu, S., Zhang, B., Li, Y., Chu, Y.: Cosensus for multi-agent systems with distributed adaptive control and an event-triggered communication strategy. IET Control Theor. Appl. 10(13), 1547–1555 (2016)

    Article  Google Scholar 

  12. Seyboth, G.S., Dimarogonas, D.V., Johanasson, K.H.: Event-based broadcasting for multi-agent average consensus. Automatica 49(1), 245–252 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  13. Garcia, E., Cao, Y., Yu, H., Giua, A., Antsaklis, P., Casbeer, D.: Decentralised event-triggered cooperative control with limited communication. Int. J. Control 86(9), 1479–1488 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  14. Meng, X., Chen, T.: Event based agreement protocols for multi-agent networks. Automatica 49(7), 2125–2132 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  15. Zhu, W., Jiang, Z., Feng, G.: Event-based consensus of multi-agent systems with general linear models. Automatica 50, 552–558 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  16. Guo, G., Ding, L., Han, Q.: A distributed event-triggered transmission strategy for sampled-data consensus of multi-agent systems. Automatica 50, 1489–1496 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  17. Liuzza, D., Dimarogonas, D.V., Bernardo, M.D., Johansson, K.H.: Distributed model based event-triggered control for synchronization of multi-agent systems. Automatica 73, 1–7 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  18. Zhang, Z., Hao, F., Zhang, L., Wang, L.: Consensus of linear multi-agent systems via event-triggered control. Int. J. Control 87(6), 1243–1251 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  19. Zhang, H., Feng, G., Yan, H., Chen, Q.: Observer-based output feedback event-triggered control for consensus of multi-agent systems. IEEE Trans. Industr. Electron. 61(9), 4885–4894 (2014)

    Article  Google Scholar 

  20. Ioannou, P., Sun, J.: Robust Adaptive Controls. Prentice-Hall, New York (1996)

    MATH  Google Scholar 

  21. Bernstein, D.: Matrix Mathematics: Theory, Facts, and Formulas. Princeton University Press, Princeton (2009)

    Book  MATH  Google Scholar 

Download references

Acknowledgement

This work was supported by the National Natural Science Foundation of China under grants 61473005 and 11332001.

Author information

Authors and Affiliations

  1. State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing, 100871, China

    Bin Cheng & Zhongkui Li

Authors
  1. Bin Cheng
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zhongkui Li
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Zhongkui Li .

Editor information

Editors and Affiliations

  1. School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, China

    YongAn Huang

  2. School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, China

    Hao Wu

  3. Institute of Industrial Research, University of Portsmouth, Portsmouth, United Kingdom

    Honghai Liu

  4. School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, China

    Zhouping Yin

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Cheng, B., Li, Z. (2017). Distributed Event-Triggered Consensus Control of Neutrally Stable Linear Multi-agent Systems. In: Huang, Y., Wu, H., Liu, H., Yin, Z. (eds) Intelligent Robotics and Applications. ICIRA 2017. Lecture Notes in Computer Science(), vol 10462. Springer, Cham. https://doi.org/10.1007/978-3-319-65289-4_60

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-65289-4_60

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-65288-7

  • Online ISBN: 978-3-319-65289-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation