Kybernetika 52 no. 4, 589-606, 2016

Event-triggered observer-based tracking control for leader-follower multi-agent systems

Pengxiao Zhang and Jinhuan WangDOI: 10.14736/kyb-2016-4-0589

Abstract:

This paper considers the consensus tracking problem for a class of leader-follower multi-agent systems via event-triggered observer-based control. In our set-up, only a subset of the followers can obtain some relative information on the leader. Assume that the leader's control input is unknown for the followers. In order to track such a leader, we design two novel event-triggered observer-based control strategies, one centralized and the other distributed. One can prove that under the proposed control strategies, the tracking problem can be solved if the communication graph of the agents is connected. Furthermore, the Zeno-behavior of triggering time sequences can be avoided. Finally, a numerical example is given to illustrate the effectiveness of the obtained theoretical results.

Keywords:

observer, multi-agent systems, event-triggered control, leader-follower

Classification:

93C35, 93C15

References:

  1. D. V. Dimarogonas, E. Frazzoli and K. H. Johansson: Distributed event-triggered control for multi-agent systems. IEEE Trans. Automat. Control 57 (2012), 1291-1297.   DOI:10.1109/tac.2011.2174666
  2. Y. Fan, G. Feng, Y. Wang and C. Song: Distributed event-triggered control of multi-agent systems with combinational measurements. Automatica 49 (2013), 671-675.   DOI:10.1016/j.automatica.2012.11.010
  3. C. Godsil and G. Royle: Algebraic Graph Theory    CrossRef
  4. Y. Hong, G. Chen and L. Bushnell: Distributed observers design for leader-following control of multi-agent networks. Automatica 44 (2008), 846-850.   DOI:10.1016/j.automatica.2007.07.004
  5. Y. Hong, L. Gao, D. Cheng and J. Hu: Lyapunov-based approach to multiagent systems with switching jointly connected interconnection. IEEE Trans. Automat. Control 52 (2007), 943-948.   DOI:10.1109/tac.2007.895860
  6. Y. Hong, J. Hu and L. Gao: Tracking control for multi-agent consensus with an active leader and variable topology. Automatica 42 (2006), 1177-1182.   DOI:10.1016/j.automatica.2006.02.013
  7. J. Hu, G. Chen and H. Li: Distributed event-triggered tracking control of leader-follower multi-agent systems with communication delays. Kybernetika 47 (2011), 630-643.   CrossRef
  8. J. Hu, J. Geng and H. Zhu: An observer-based consensus tracking control and application to event-triggered tracking. Comm. Nonlinear Sci. Numer. Simul. 20 (2015), 559-570.   DOI:10.1016/j.cnsns.2014.06.002
  9. Z. Li, W. Ren, X. Lin and M. Fu: Consensus of multi-agent systems with general linear and Lipschitz nonlinear dynamics using distributed adaptive protocols. IEEE Trans. Automat. Control 58 (2013), 1786-1791.   DOI:10.1109/tac.2012.2235715
  10. S. Martin: Multi-agent flocking under topological interactcions. Systems Control Lett. 69 (2014), 53-61.   DOI:10.1109/tac.2012.2235715
  11. W. Ni, X. Wang and C. Xiong: Leader-following consensus of multiple linear systems under switching topologies: an averaging method. Kybernetika 48 (2012), 1194-1210.   CrossRef
  12. W. Ni, P. Zhao, X. Wang and J. Wang: Event-triggered control of linear systems with saturated inputs. Asian J. Contol 17 (2015), 1196-1208.   DOI:10.1002/asjc.928
  13. G. S. Seyboth, D. V. Dimarogonas and K. H. Johansson: Event-based broadcasting for multi-agent average consensus. Automatica 49 (2013), 245-252.   DOI:10.1016/j.automatica.2012.08.042
  14. P. Tabuada: Event-triggered real-time scheduling of stabilizing control tasks. IEEE Trans. Automat. Control 52 (2007), 1680-1685.   DOI:10.1109/tac.2007.904277
  15. Z. Tang, T. Huang and J. Shao: Leader-following conse nsus for multi-agent systems via sampled-data control. IET Control Theory and Applications 5 (2011), 1658-1665.   DOI:10.1049/iet-cta.2010.0653
  16. J. Thunberg, J. Goncalves and X. Hu: Consensus and formation control on SE (3) for switching topologies. Automatica 66 (2016), 109-121.   DOI:10.1016/j.automatica.2015.12.035
  17. J. Wang, Z. Liu and X. Hu: Consensus control design for multi-agent systems using relative output feedback. J. Systems Sci. Complex. 27 (2014), 237-251.   DOI:10.1007/s11424-014-2062-8
  18. J. Wang, P. Zhang, Z. Liu and X. Hu: Observer-based leader-following tracking control under both fixed and switching topologies. Control Theory Technol. 14 (2016), 28-38.   DOI:10.1007/s11768-016-5121-y
  19. X. Wang, H. Ji and C. Wang: Distributed output regulation for linear multi-agent systems with unknown leaders. Kybernetika 49 (2013), 524-538.   CrossRef
  20. D. Xie, S. Xu, Z. Li and Y. Zou: Event-triggered consensus control for second-order multi-agent systems. IET Control Theory and Applications 9 (2015), 667-680.   DOI:10.1049/iet-cta.2014.0219
  21. H. Yan, Y. Shen, H. Zhang and H. Shi: Decentralized event-triggered consensus control for second-order multi-agent systems. Neurocomputing 133 (2014), 18-24.   DOI:10.1016/j.neucom.2013.11.036
  22. H. Zhang, G. Feng, H. Yan and Q. Chen: Consensus of multi-agent systems with linear dynamics using event-triggered control. IET Control Theory Appl. 8 (2014), 2275-2281.   DOI:10.1049/iet-cta.2014.0207
  23. H. Zhang, G. Feng, H. Yan and Q. Chen: Observer-based output feedback event-triggered control for consensus of multi-agent systems. IEEE Trans. Ind. Electron 61 (2014), 4885-4894.   DOI:10.1109/tie.2013.2290757
  24. Y. Zhang and Y. Hong: Distributed Event-triggered tracking control of multi-agent systems with active leader. In: Proc. 10th World Congress on Intelligent Control and Automation, Beijing 2012, pp. 1453-1458.   DOI:10.1109/wcica.2012.6358108
  25. Z. Zhang, F. Hao, L. Zhang and L. Wang: Consensus of linear multi-agent systems via event-triggered control. Int. J. Control 87 (2014), 1243-1251.   DOI:10.1080/00207179.2013.873952
  26. W. Zhu and J. Zhong: Event-based leader-following consensus of multi-agent systems with input time delay. IEEE Trans. Automat. Control 60 (2015), 1362-1367.   DOI:10.1109/tac.2014.2357131