Skip to main content

Periodic Dynamic Event-Triggered Bipartite Consensus for Multi-agent Systems Associated with Signed Graphs

  • Conference paper
  • First Online:
Proceedings of 2019 Chinese Intelligent Systems Conference (CISC 2019)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 592))

Included in the following conference series:

Abstract

In this paper, we propose a periodic dynamic event-triggered control to solve the bipartite consensus problem of first-order multi-agent systems. We design an extra variable for each agent and construct a dynamic event-triggered condition based on it. By using Lyapunov stability method, we prove that all agents can reach bipartite consensus under connected balanced signed graph. The periodic control mechanism excludes the possibility of Zeno behavior. Finally, simulations demonstrate the effectiveness of the obtained results.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 299.99
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. Ren W, Beard RW, Atkins EM (2007) Information consensus in multivehicle cooperative control. IEEE Control Syst 27(2):71–82

    Article  Google Scholar 

  2. Shen B, Wang Z, Hung YS (2010) Distributed H\(_{\infty }\)-consensus filtering in sensor networks with multiple missing measurements: the finite-horizon case. Automatica 46(10):1682–1688

    Article  MathSciNet  Google Scholar 

  3. Abdessameud A, Tayebi A (2011) Formation control of VTOL unmanned aerial vehicles with communication delays. Automatica 47(11):2383–2394

    Article  MathSciNet  Google Scholar 

  4. Wu Y, Su H, Shi P, Lu R (2017) Output synchronization of nonidentical linear multiagent systems. IEEE Trans Cybern 47(1):130–141

    Article  Google Scholar 

  5. Lu R, Shi P, Su H, Wu ZG, Lu J (2018) Synchronization of general chaotic neural networks with nonuniform sampling and packet missing: a switched system approach. IEEE Trans Neural Netw Learn Syst 29(3):523–533

    Article  MathSciNet  Google Scholar 

  6. Dimarogonas DV, Frazzoli E, Johansson KH (2012) Distributed event-triggered control for multi-agent systems. IEEE Trans Autom Control 57(5):1291–1297

    Article  MathSciNet  Google Scholar 

  7. Seyboth GS, Dimarogonas DV, Johansson KH (2013) Event-based broadcasting for multi-agent average consensus. Automatica 49(1):245–252

    Article  MathSciNet  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  9. Chen X, Hao F, Ma B (2017) Periodic event-triggered cooperative control of multiple non-holonomic wheeled mobile robots. IET Control Theory Appl 11(6):890–899

    Article  MathSciNet  Google Scholar 

  10. Wang A (2016) Event-based consensus control for single-integrator networks with communication time delays. Neurocomputing 173:1715–1719

    Article  Google Scholar 

  11. Girard A (2015) Dynamic triggering mechanisms for event-triggered control. IEEE Trans Autom Control 60(7):1992–1997

    Article  MathSciNet  Google Scholar 

  12. Ge X, Han Q (2017) Distributed formation control of networked multi-agent systems using a dynamic event-triggered communication mechanism. IEEE Trans Ind Electr 64(10):8118–8127

    Article  Google Scholar 

  13. Yi X, Liu K, Dimarogonas DV, Johansson KH (2017) Distributed dynamic event-triggered control for multi-agent systems. IEEE Trans Autom Control. https://doi.org/10.1109/TAC.2018.2874703

    Article  MATH  Google Scholar 

  14. Facchetti G, Iacono G, Altafini C (2011) Computing global structural balance in large-scale signed social networks. Proc National Acad Sci USA 108(52):20953–20958

    Article  Google Scholar 

  15. Fiedler B, Gedeon T (1999) A Lyapunov function for tridiagonal competitive-cooperative systems. SIAM J Math Anal 108:469–478

    Article  MathSciNet  Google Scholar 

  16. Easley D, Kleinberg J (2010) Networks, crowds, and markets: reasoning about a highly connected world. Cambridge University Press, Cambridge

    Book  Google Scholar 

  17. Hou Y, Li J, Pan Y (2003) On the Laplacian eigenvalues of signed graphs. Linear Multilinear Algebra 51(1):21–30

    Article  MathSciNet  Google Scholar 

  18. Altafini C (2013) Consensus problems on networks with antagonistic interactions. IEEE Trans Autom Control 58(4):935–946

    Article  MathSciNet  Google Scholar 

  19. Valcher ME, Misra P (2014) On the consensus and bipartite consensus in high-order multi-agent dynamical systems with antagonistic interactions. Syst Control Lett 66:94–103

    Article  MathSciNet  Google Scholar 

  20. Zhou Y, Hu J (2013) Event-based bipartite consensus on signed networks. In: Proceedings of IEEE international conference on cyber technology in automation, control and intelligent systems, Nanjing, China, pp 326–330

    Google Scholar 

  21. Ma C, Sun W (2018) Bipartite consensus for multiagent systems via event-based control. Math Problems Eng. https://doi.org/10.1155/2018/8046576

    MathSciNet  Google Scholar 

  22. Zeng J, Li F, Qin J, Zheng W (2015) Distributed event-triggered bipartite consensus for multiple agents over signed graph topology. In: Proceedings of the 34th Chinese control conference, Hangzhou, China, pp 6930–6935

    Google Scholar 

  23. Horn RA, Johnson CR (1987) Matrix Analysis. Cambridge University Press, Cambridge

    Google Scholar 

Download references

Acknowledgments

This work is supported by National Nature Science Foundation of China under Grant 61703225, Shandong Provincial Natural Science Foundation under Grant ZR2017BF033, and A Project of Shandong Province Higher Educational Science and Technology Program under Grants J17KA060 and J16LN29.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xia Chen .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Li, J., Chen, X., Tian, Y. (2020). Periodic Dynamic Event-Triggered Bipartite Consensus for Multi-agent Systems Associated with Signed Graphs. In: Jia, Y., Du, J., Zhang, W. (eds) Proceedings of 2019 Chinese Intelligent Systems Conference. CISC 2019. Lecture Notes in Electrical Engineering, vol 592. Springer, Singapore. https://doi.org/10.1007/978-981-32-9682-4_32

Download citation

Publish with us

Policies and ethics