Consensus of multiple dynamic agents with sampled information

Access Full Text

Consensus of multiple dynamic agents with sampled information

For access to this article, please select a purchase option:

Buy article PDF
£12.50
(plus tax if applicable)
Buy Knowledge Pack
10 articles for £75.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Name:*
Email:*
Your details
Name:*
Email:*
Department:*
Why are you recommending this title?
Select reason:
 
 
 
 
 
IET Control Theory & Applications — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

The authors are concerned with consensus problems in undirected networks of multiple agents with second-order dynamics, where each agent can only obtain the measurements of its positions relative to its neighbours at sampling instants. A new protocol based on sampled-data control is proposed so that all agents can reach consensus on their positions and velocities, respectively. Both fixed and switching topology cases are considered. For the fixed topology case, a sufficient and necessary condition for consensus is derived in the case without time delays, and an allowable upper bound of time delays is obtained in the case with time delays. For the switching topology case, sufficient conditions are established for consensus under arbitrary switching signals and under a class of switching signals, respectively. Simulations are provided to illustrate the effectiveness of the theoretical results.

Inspec keywords: multi-agent systems; topology

Other keywords: switching topology; multiple dynamic agents; undirected networks; sampled information; fixed topology

Subjects: Combinatorial mathematics; Artificial intelligence (theory)

References

    1. 1)
      • W. Ren , R.W. Beard . Consensus seeking in multiagent systems under dynamically changing interaction topologies. IEEE Trans. Autom. Control , 5 , 655 - 661
    2. 2)
      • T. Chen , B. Francis . (1995) Optimal sampled-data control systems.
    3. 3)
      • R. Horn , C. Johnson . (1985) Matrix analysis.
    4. 4)
      • Y. Hatano , M. Mesbahi . Agreement over random networks. IEEE Trans. Autom. Control , 11 , 1867 - 1872
    5. 5)
      • Zhai, G., Hu, B., Yasuda, K., Michel, A.N.: `Qualitative analysis of discrete-time switched systems', Proc. American Control Conf., 2002, Anchorage, AK, p. 1880–1885.
    6. 6)
      • Y. Hong , J. Hu , L. Gao . Tracking control for multi-agent consensus with an active leader and variable topology. Automatica , 7 , 1177 - 1182
    7. 7)
      • Xiao, F., Wang, L., Jia, Y.: `Fast information sharing in networks of autonomous agents', Proc. American Control Conf., 2008, Washington, USA, p. 4388–4393.
    8. 8)
      • Ren, W., Cao, Y.: `Convergence of sampled-data consensus algorithms for double-integrator dynamics', Proc. IEEE Conf. on Decision and Control, 2008, Cancun, Mexico, p. 3965–3970.
    9. 9)
      • E. Semsar-Kazerooni , K. Khorasani . Optimal consensus algorithms for cooperative team of agents subject to partial information. Automatica , 11 , 2766 - 2777
    10. 10)
      • M. Cao , A.S. Morse , B.D.O. Anderson . Agreeing asynchronously. IEEE Trans. Autom. Control , 8 , 1826 - 1838
    11. 11)
      • K.J. Astrom , B. Wittenmark . (1997) Computer-controlled systems: theory and design.
    12. 12)
      • J. Cortés . Finite-time convergent gradient flows with applications to network consensus. Automatica , 11 , 1993 - 2000
    13. 13)
      • N. Biggs . (1993) Algebraic graph theory.
    14. 14)
      • A.S. Morse . Supervisory control of families of linear set-point controllers-part 1: exact matching. IEEE Trans. Autom. Control , 10 , 1413 - 1431
    15. 15)
      • Hayakawa, T., Matsuzawa, T., Hara, S.: `Formation control of multi-agent systems with sampled information-relationship between information exchange structure and control performance', Proc. IEEE Conf. on Decision and Control, 2006, San Diego, CA, USA, p. 4333–4338.
    16. 16)
      • T. Vicsek , A. Czirok , E. Ben-Jacob , I. Cohen , O. Shocher . Novel type of phase transition in a system of self-driven particles. Phys. Rev. Lett. , 6 , 1226 - 1229
    17. 17)
      • W. Ren . Consensus strategies for cooperative control of vehicle formations. IET Control Theory Appl. , 2 , 505 - 512
    18. 18)
      • G. Xie , L. Wang . Consensus control for a class of networks of dynamic agents. Int. J. Robust Nonlinear Control , 941 - 959
    19. 19)
      • J.P. Hespanha , P. Naghshtabrizi , Y. Xu . A survey of recent results in networked control systems. Proc. IEEE , 1 , 138 - 162
    20. 20)
      • J. Daafouz , P. Riedinger , C. Iung . Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach. IEEE Trans. Autom. Control , 11 , 1883 - 1887
    21. 21)
      • W. Ren , E. Atkins . Distributed multi-vehicle coordinated control via local information exchange. Int. J. Robust Nonlinear Control , 1002 - 1033
    22. 22)
      • R. Olfati-Saber , R. Murray . Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans. Autom. Control , 9 , 1520 - 1533
    23. 23)
      • J.A. Fax , R.M. Murray . Information flow and cooperative control of vehicle formations. IEEE Trans. Autom. Control , 9 , 1465 - 1476
    24. 24)
      • W. Ren , R.W. Beard , E.M. Atkins . Information consensus in multi-vehicle cooperative control. IEEE Control Syst. Mag. , 2 , 71 - 82
    25. 25)
      • A. Jadbabaie , J. Lin , A.S. Morse . Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Trans. Autom. Control , 9 , 988 - 1001
    26. 26)
      • W. Ren . On consensus algorithms for double-integrator dynamics. IEEE Trans. Autom. Control , 6 , 1503 - 1509
    27. 27)
      • V. Gazi . Stability of an asynchronous swarm with time-dependent communication links. IEEE Trans. Syst. Man Cybern. B, Cybern. , 1 , 267 - 274
    28. 28)
      • I.R. Peterson . A stabilization algorithm for a class of uncertain linear systems. Syst. Control Lett. , 4 , 351 - 357
    29. 29)
      • D. Cheng , J. Wang , X. Hu . An extension of Lasalle's invariance principle and its application to multi-agent consensus. IEEE Trans. Autom. Control , 7 , 1765 - 1770
    30. 30)
      • X. Feng , W. Long . Asynchronous consensus in continuous-time multi-agent systems with switching topology and time-varying delays. IEEE Trans. Autom. Control , 8 , 1804 - 1816
    31. 31)
      • K. Ogata . (1995) Discrete-time control systems.
    32. 32)
      • D. Lee , M.W. Spong . Stable flocking of multiple inertial agents on balanced graphs. IEEE Trans. Autom. Control , 8 , 1469 - 1475
    33. 33)
      • M. Porfiri , D.J. Stilwell . Consensus seeking over random weighted directed graphs. IEEE Trans. Autom. Control , 9 , 1767 - 1773
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cta.2008.0565
Loading

Related content

content/journals/10.1049/iet-cta.2008.0565
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading