Skip to main content
SpringerLink
Log in
Book cover

Proceedings of 2018 Chinese Intelligent Systems Conference pp 453–461Cite as

Finite-Time Consensus Problem of Second-Order Multi-agent Systems with External Disturbances

  • Conference paper
  • First Online:

  • 779 Accesses

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 529))

Abstract

Finite-time consensus for second-order multi-agent systems with external disturbances is investigated in this article. By turning the original system into an equivalent system, which can be represented by disagreement vector, sufficient conditions that guarantee all agents reach finite-time average consensus are derived. Finally, simulations are supplied to show the validity of the gotten theoretic results.

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

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   219.99
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

Learn about institutional subscriptions

References

  1. S. Li, H. Du, X. Lin, Finite-time consensus algorithm for multi-agent systems with double-integrator dynamics. J. Tianjin Univ. Technol. 47(8), 1706–1712 (2013)

    MathSciNet  MATH  Google Scholar 

  2. H. Li, X. Liao, G. Chen, Leader-following finite-time consensus in second-order multi-agent networks with nonlinear dynamics. Int. J. Control Autom. Syst. 11(2), 422–426 (2013)

    Article  Google Scholar 

  3. F. Sun, Z.H. Guan, Finite-time consensus for leader-following second-order multi-agent system. Int. J. Syst. Sci. 44(4), 727–738 (2013)

    Article  MathSciNet  Google Scholar 

  4. Y. Zhang, Yang et al., Finite-time consensus of second-order leader-following multi-agent; systems without velocity measurements. Phys. Lett. A 377(3–4), 243–249 (2013)

    Article  Google Scholar 

  5. S.P. Bhat, D.S. Bernstein, Continuous, bounded, finite-time stabilization of the translational and rotational double integrators. in IEEE International Conference on Control Applications, pp. 185–190 (2002)

    Google Scholar 

  6. S. Khoo, L. Xie, Z. Man, Robust Finite-Time Consensus Tracking Algorithm for Multirobot Systems. IEEE/ASME Trans. Mechatron. 14(2), 219–228 (2009)

    Article  Google Scholar 

  7. Y. Jia, Robust control with decoupling performance for steering and traction of 4WS vehicles under velocity-varying motion. IEEE Trans. Control Syst. Technol. 8(3), 554–569 (2000)

    Article  Google Scholar 

  8. Y. Jia, Alternative proofs for improved LMI representations for the analysis and the design of continuous-time systems with polytopic type uncertainty: a predictive approach. IEEE Trans. Autom. Control 48(8), 1413–1416 (2003)

    Article  MathSciNet  Google Scholar 

  9. W. Cao, J. Zhang, W. Ren, Leader–follower consensus of linear multi-agent systems with unknown external disturbances. Syst. Control Lett. 82, 64–70 (2015)

    Article  MathSciNet  Google Scholar 

  10. D. Ouyang, Z. Yu, H. Jiang et al., Consensus for general multi-agent networks with external disturbances. Neurocomputing 198(C), 100–108 (2016)

    Article  Google Scholar 

  11. G. Ren, Y. Yu, Robust Consensus of Fractional Multi-agent Systems with External Disturbances. Elsevier Science Publishers B. V. (2016)

    Google Scholar 

  12. C. Ma, H. Qiao, Distributed asynchronous event-triggered consensus of nonlinear multi-agent systems with disturbances: An extended dissipative approach. Neurocomputing 243, 177–186 (2017)

    Article  Google Scholar 

  13. M.C. Fan, Y. Wu, Global leader-following consensus of nonlinear multi-agent systems with unknown control directions and unknown external disturbances. Appl. Math. Comput. 331, 274–286 (2018)

    MathSciNet  Google Scholar 

  14. Q. Song, J. Cao, W. Yu, Second-order leader-following consensus of nonlinear multi-agent systems via pinning control. Syst. Control Lett. 59(9), 553–562 (2010)

    Article  MathSciNet  Google Scholar 

  15. F. Xiao, L. Wang, Y. Jia, Fast information sharing in networks of autonomous agents, in IEEE American Control Conference, pp. 4388–4393 (2008)

    Google Scholar 

  16. L. Wang, S. Sun, C. Xia, Finite-time stability of multi-agent system in disturbed environment. Nonlinear Dyn. 67(3), 2009–2016 (2012)

    Article  MathSciNet  Google Scholar 

  17. F. Sun, W. Zhu, Y. Li et al., Finite-time consensus problem of multi-agent systems with disturbance. J. Franklin Inst. 353(12), 2576–2587 (2016)

    Article  MathSciNet  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgements

This work has the support of NSFC (61503231).

Author information

Authors and Affiliations

  1. College of Physics and Information Engineering, Shanxi Normal University, Linfen, 041000, Shanxi, China

    Yan Cui & Danni Qiao

Authors
  1. Yan Cui
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Danni Qiao
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Danni Qiao .

Editor information

Editors and Affiliations

  1. Beihang University, Beijing, China

    Yingmin Jia

  2. Beijing University of Posts and Telecommunications, Beijing, China

    Junping Du

  3. University of Science and Technology Beijing, Beijing, China

    Weicun Zhang

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Cui, Y., Qiao, D. (2019). Finite-Time Consensus Problem of Second-Order Multi-agent Systems with External Disturbances. In: Jia, Y., Du, J., Zhang, W. (eds) Proceedings of 2018 Chinese Intelligent Systems Conference. Lecture Notes in Electrical Engineering, vol 529. Springer, Singapore. https://doi.org/10.1007/978-981-13-2291-4_45

Download citation

Publish with us

Policies and ethics

Search

Navigation