http://iet.metastore.ingenta.com
1887

Distributed impulsive consensus for second-order multi-agent systems with input delays

Distributed impulsive consensus for second-order multi-agent systems with input delays

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

Buy article PDF
$19.95
(plus tax if applicable)
Buy Knowledge Pack
10 articles for $120.00
(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.

In this study, a distributed consensus protocol is proposed for second-order multi-agent systems having input time delays. A distinctive feature of the algorithm is to address consensus problems for second-order multi-agent systems with local instantaneous interaction, where each agent can only exchange the position information with its neighbours at a series of discrete-time instants and update its velocity state in the form of abrupt jumps setting. The authors also establish the consensus conditions over fixed and switching network topologies, respectively. It is shown that consensus can be exponentially reached if the interaction graph of the system is connected and the interaction intervals are less than a given threshold value. Subsequently, numerical simulations are given to illustrate and visualise the effectiveness and feasibility of the theoretical results.

References

    1. 1)
      • 1. Vicsek, T., Czirók, A., Ben-Jacob, E., Cohen, I., Shochet, O.: ‘Novel type of phase transition in a system of self-driven particles’, Phys. Rev. Lett., 1995, 75, (6), pp. 12261229 (doi: 10.1103/PhysRevLett.75.1226).
    2. 2)
      • 2. Olfati-Saber, R.: ‘Flocking for multi-agent dynamic systems: algorithms and theory’, IEEE Trans. Autom. Control, 2006, 51, (3), pp. 401420 (doi: 10.1109/TAC.2005.864190).
    3. 3)
      • 3. Fax, J., Murray, R.: ‘Information flow and cooperative control of vehicle formations’, IEEE Trans. Autom. Control, 2004, 49, (9), pp. 14651476 (doi: 10.1109/TAC.2004.834433).
    4. 4)
      • 4. Lawton, J.R., Beard, R.W.: ‘Synchronized multiple spacecraft rotations’, Automatica, 2002, 38, (8), pp. 13591364 (doi: 10.1016/S0005-1098(02)00025-0).
    5. 5)
      • 5. Olfati-Saber, R., Shamma, J.: ‘Consensus filters for sensor networks and distributed sensor fusion’. Proc. IEEE Conf. Decision Control, European Control Conf., Seville, Spain,, December 2005, pp. 66986703.
    6. 6)
      • 6. Olfati-Saber, R., Murray, R.: ‘Consensus problems in networks of agents with switching topology and time-delays’, IEEE Trans. Autom. Control, 2004, 49, (9), pp. 15201533 (doi: 10.1109/TAC.2004.834113).
    7. 7)
      • 7. Ren, W., Beard, R.: ‘Consensus seeking in multiagent systems under dynamically changing interaction topologies’, IEEE Trans. Autom. Control, 2005, 50, (5), pp. 655661 (doi: 10.1109/TAC.2005.846556).
    8. 8)
      • 8. Zhang, Y., Tian, Y.: ‘Consentability and protocol design of multi-agent systems with stochastic switching topology’, Automatica, 2009, 45, (5), pp. 11951201 (doi: 10.1016/j.automatica.2008.11.005).
    9. 9)
      • 9. Olfati-Saber, R., Fax, J., Murray, R.: ‘Consensus and cooperation in networked multi-agent systems’, Proc. IEEE, 2007, 95, (1), pp. 215233 (doi: 10.1109/JPROC.2006.887293).
    10. 10)
      • 10. Tian, Y., Liu, C.: ‘Robust consensus of multi-agent systems with diverse input delays and asymmetric interconnection perturbations’, Automatica, 2009, 45, (5), pp. 13471353 (doi: 10.1016/j.automatica.2009.01.009).
    11. 11)
      • 11. Tian, Y., Zhang, Y.: ‘High-order consensus of heterogeneous multi-agent systems with unknown communication delays’, Automatica, 2012, 48, (6), pp. 12051212 (doi: 10.1016/j.automatica.2012.03.017).
    12. 12)
      • 12. Grip, H.F., Yang, T., Saberi, A., Stoorvogel, A.A.: ‘Output synchronization for heterogeneous networks of non-introspective agents’, Automatica, 2012, 48, (10), pp. 24442453 (doi: 10.1016/j.automatica.2012.06.081).
    13. 13)
      • 13. Meng, Z., Zhao, Z., Lin, Z.: ‘On global leader-following consensus of identical linear dynamic systems subject to actuator saturation’, Syst. Control Lett., 2013, 62, (2), pp. 132142 (doi: 10.1016/j.sysconle.2012.10.016).
    14. 14)
      • 14. Yang, T., Roy, S., Wan, Y., Saberi, A.: ‘Constructing consensus controllers for networks with identical general linear agents’, Int. J. Robust Nonlinear Control, 2011, 21, (11), pp. 12371256 (doi: 10.1002/rnc.1641).
    15. 15)
      • 15. Xie, G., Wang, L.: ‘Consensus control for a class of networks of dynamic agents’, Int. J. Robust Nonlinear Control, 2007, 17, (10–11), pp. 941959 (doi: 10.1002/rnc.1144).
    16. 16)
      • 16. Ren, W.: ‘On consensus algorithms for double-integrator dynamics’, IEEE Trans. Autom. Control, 2008, 53, (6), pp. 15031509 (doi: 10.1109/TAC.2008.924961).
    17. 17)
      • 17. Qin, J., Gao, H., Zheng, W.: ‘Second-order consensus for multi-agent systems with switching topology and communication delay’, Syst. Control Lett., 2011, 60, (6), pp. 390397 (doi: 10.1016/j.sysconle.2011.03.004).
    18. 18)
      • 18. Sun, F., Guan, Z., Zhan, X., Yuan, F.: ‘Consensus of second-order and high-order discrete-time multi-agent systems with random networks’, Nonlinear Anal., Real World Appl., 2012, 13, (5), pp. 19791990 (doi: 10.1016/j.nonrwa.2011.12.009).
    19. 19)
      • 19. Xie, D., Wang, S.: ‘Consensus of second-order discrete-time multi-agent systems with fixed topology’, J. Math. Anal. Appl., 2012, 387, (1), pp. 816 (doi: 10.1016/j.jmaa.2011.08.052).
    20. 20)
      • 20. Yang, T., Chua, L.O.: ‘Impulsive stabilization for control and synchronization of chaotic systems: theory and application to secure communication’, IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., 1997, 44, (10), pp. 976988 (doi: 10.1109/81.633887).
    21. 21)
      • 21. Naghshtabrizi, P., Hespanha, J.P., Teel, A.R.: ‘Exponential stability of impulsive systems with application to uncertain sampled-data systems’, Syst. Control Lett., 2008, 57, (5), pp. 378385 (doi: 10.1016/j.sysconle.2007.10.009).
    22. 22)
      • 22. Fridman, E.: ‘A refined input delay approach to sampled-data control’, Automatica, 2010, 46, (2), pp. 421427 (doi: 10.1016/j.automatica.2009.11.017).
    23. 23)
      • 23. Liu, Z., Guan, Z., Shen, X., Feng, G.: ‘Consensus of multi-agent networks with aperiodic sampled communication via impulsive algorithms using position-only measurements’, IEEE Trans. Autom. Control, 2012, 57, (10), pp. 26392643 (doi: 10.1109/TAC.2012.2214451).
    24. 24)
      • 24. Zhou, J., Wu, Q., Xiang, L.: ‘Pinning complex delayed dynamical networks by a single impulsive controller’, IEEE Trans. Circuits Syst. I, Regul. Pap., 2011, 58, (12), pp. 28822893 (doi: 10.1109/TCSI.2011.2161363).
    25. 25)
      • 25. Wu, Q., Zhou, J., Zhang, H., Xiang, L.: ‘Distributed δ-consensus in directed delayed networks of multi-agent systems’, Int. J. Syst. Sci., 2013, 44, (5), pp. 916925 (doi: 10.1080/00207721.2011.649365).
    26. 26)
      • 26. Guan, Z., Liu, Z., Feng, G., Jian, M.: ‘Impulsive consensus algorithms for second-order multi-agent networks with sampled information’, Automatica, 2012, 48, (7), pp. 13971404 (doi: 10.1016/j.automatica.2012.05.005).
    27. 27)
      • 27. Jiang, H., Bi, Q., Zheng, S.: ‘Impulsive consensus in directed networks of identical nonlinear oscillators with switching topologies’, Commun. Nonlinear. Sci. Numer. Simul., 2012, 17, (1), pp. 378387 (doi: 10.1016/j.cnsns.2011.04.030).
    28. 28)
      • 28. Zhou, J., Zhang, H., Xiang, L., Wu, Q.: ‘Synchronization of coupled harmonic oscillators with local instantaneous interaction’, Automatica, 2012, 48, (8), pp. 17151721 (doi: 10.1016/j.automatica.2012.05.022).
    29. 29)
      • 29. Guan, Z., Wu, Y., Feng, G.: ‘Consensus analysis based on impulsive systems in multiagent networks’, IEEE Trans. Circuits Syst. I, Regul. Pap., 2012, 59, (1), pp. 170178 (doi: 10.1109/TCSI.2011.2158715).
    30. 30)
      • 30. Sun, X., Liu, G., Rees, D., Wang, W.: ‘Stability of systems with controller failure and time-varying delay’, IEEE Trans. Autom. Control, 2008, 53, (10), pp. 23912396 (doi: 10.1109/TAC.2008.2007528).
    31. 31)
      • 31. Zhang, W., Yu, L.: ‘Stabilization of sampled-data control systems with control inputs missing’, IEEE Trans. Autom. Control, 2010, 55, (2), pp. 447452 (doi: 10.1109/TAC.2009.2036325).
    32. 32)
      • 32. Ren, W., Beard, R., Atkins, E.: ‘Information consensus in multivehicle cooperative control’, IEEE Control Syst. Mag., 2007, 27, (2), pp. 7182 (doi: 10.1109/MCS.2007.338264).
    33. 33)
      • 33. Gao, Y., Wang, L.: ‘Sampled-data based consensus of continuous-time multi-agent systems with time-varying topology’, IEEE Trans. Autom. Control, 2011, 56, (5), pp. 12261231 (doi: 10.1109/TAC.2011.2112472).
    34. 34)
      • 34. Gao, Y., Wang, L.: ‘Consensus of multiple dynamic agents with sampled information’, IET Control Theory Appl., 2010, 4, (6), pp. 945956 (doi: 10.1049/iet-cta.2008.0565).
    35. 35)
      • 35. Hayakawa, T., Matsuzawa, T., Hara, S.: ‘Formation control of multi-agent systems with sampled information – relationship between information exchange structure and control performance –’. Proc. 45th IEEE Conf. Decision Control, 2006, pp. 43334338.
    36. 36)
      • 36. Xie, G., Liu, H., Wang, L., Jia, Y.: ‘Consensus in networked multi-agent systems via sampled control: fixed topology case’. Proc. American Control Conf., 2009, pp. 39023907.
    37. 37)
      • 37. Yu, W., Zheng, W., Chen, G., Ren, W., Cao, J.: ‘Second-order consensus in multi-agent dynamical systems with sampled position data’, Automatica, 2011, 47, (7), pp. 14961503 (doi: 10.1016/j.automatica.2011.02.027).
    38. 38)
      • 38. Horn, R., Johnson, C.: ‘Matrix analysis’ (Cambridge University Press, Cambridge, 1985).
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cta.2013.0389
Loading

Related content

content/journals/10.1049/iet-cta.2013.0389
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading
This is a required field
Please enter a valid email address