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Journal of Control Science and Engineering
Volume 2014, Article ID 698546, 11 pages
http://dx.doi.org/10.1155/2014/698546
Research Article

Distributed Event-Triggered Control of Multiagent Systems with General Linear Dynamics

College of Electrical and Information Engineering, Hunan University, Changsha 410082, China

Received 18 January 2014; Revised 31 March 2014; Accepted 31 March 2014; Published 26 May 2014

Academic Editor: Zoltan Szabo

Copyright © 2014 Xieyan Zhang and Jing Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. W. Ren and Y. C. Cao, Distributed Coordination of Multi-Agent Networks, Springer, London, UK, 2011.
  2. W. Ren and R. W. Beard, Distributed Consensus in Multi-Vehicle Cooperative Control, Springer, London, UK, 2008.
  3. W. P. M. H. Heemels, K. H. Johansson, and P. Tabuada, “An introduction to event-triggered and self-triggered control,” in Proceedings of the 45rd IEEE Conference on Decision and Control, pp. 3270–3258, Maui, Hawaii, USA, 2012.
  4. P. Tabuada, “Event-triggered real-time scheduling of stabilizing control tasks,” IEEE Transactions on Automatic Control, vol. 52, no. 9, pp. 1680–1685, 2007. View at Publisher · View at Google Scholar · View at Scopus
  5. R. Postoyan, A. Anta, D. Nesic, and P. Tabuada, “A unifying Lyapunov-based framework for the event-triggered control of nonlinear systems,” in Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, pp. 2565–2570, Orlando, Fla, USA, 2011.
  6. M. C. F. Donkers and W. P. M. H. Heemels, “Output-based event-triggered control with guaranteed-gain and improved and decentralized event-triggering,” IEEE Transactions on Automatic Control, vol. 27, no. 6, pp. 1362–1376, 2012. View at Google Scholar
  7. W. P. M. H. Heemels, M. C. F. Donkers, and A. R. Teel, “Periodic event-triggered control for linear systems,” IEEE Transactions on Automatic Control, vol. 58, no. 4, pp. 847–861, 2013. View at Google Scholar
  8. J. Lunze and D. Lehmann, “A state-feedback approach to event-based control,” Automatica, vol. 46, no. 1, pp. 211–215, 2010. View at Publisher · View at Google Scholar · View at Scopus
  9. W. P. M. H. Heemels and M. C. F. Donkers, “Model-based periodic event-triggered control for linear systems,” Automatica, vol. 49, no. 3, pp. 698–711, 2013. View at Google Scholar
  10. X. Wang and M. D. Lemmon, “Event-triggering in distributed networked control systems,” IEEE Transactions on Automatic Control, vol. 56, no. 3, pp. 586–601, 2011. View at Publisher · View at Google Scholar · View at Scopus
  11. M. Mazo Jr. and P. Tabuada, “Decentralized event-triggered control over wireless sensor actuator networks,” IEEE Transactions on Automatic Control, vol. 56, no. 10, pp. 2456–2461, 2011. View at Google Scholar
  12. M. Guinaldo, D. V. Dimarogonas, K. H. Johansson, J. Sanchez, and S. Dormido, “Distributed event-based control strategies for interconnected linear systems,” IET Control Theory and Applications, vol. 7, no. 6, pp. 877–886, 2013. View at Google Scholar
  13. E. Garcia and P. J. Antsaklis, “Decentralized model-based event-triggered control of networked systems,” in Proceedings of the American Control Conference, pp. 6485–6490, Montral, Canada, 2012.
  14. D. V. Dimarogonas and K. H. Johansson, “Event-triggered control for multi-agent systems,” in Proceedings of the 48th IEEE Conference on Decision and Control (CD '09), pp. 7131–7136, Shanghai, China, December 2009. View at Publisher · View at Google Scholar · View at Scopus
  15. G. S. Seyboth, D. V. Dimarogonas, and K. H. Johansson, “Event-based broadcasting for multi-agent average consensus,” Automatica, vol. 49, no. 1, pp. 245–252, 2013. View at Google Scholar
  16. Y. Fan, G. Feng, Y. Wang, and C. Song, “Distributed event-triggered control of multi-agent systems with combinational measurements,” Automatica, vol. 49, no. 2, pp. 671–675, 2013. View at Google Scholar
  17. E. Garcia, Y. C. Cao, H. Yu, P. Antsaklis, and D. Casbeer, “Decentralized event-triggered cooperative control with limited communication,” International Journal of Control, vol. 86, no. 9, pp. 1479–1488, 2013. View at Google Scholar
  18. X. Y. Meng and T. W. Chen, “Event based agreement protocols for multi-agent networks,” Automatica, vol. 49, no. 7, pp. 2125–2132., 2013. View at Google Scholar
  19. J. P. Hu, Y. L. Zhou, and Y. S. Lin, “Second-order multiagent systems with event-driven consensus control,” Abstract and Applied Analysis, vol. 2013, Article ID 250586, 2013. View at Publisher · View at Google Scholar
  20. O. Demir and J. Lunze, “Event-based synchronization of multi-agent systems,” in Proceedings of the 4th IFAC Conference on Analysis and Design of Hybrid Systems, pp. 1–6, Eindhoven, The Netherlands, 2012.
  21. W. Zhu, Z. P. Jiang, and G. Feng, “Event-based consensus of multi-agent systems with general linear models,” Automatica, vol. 50, no. 2, pp. 552–558, 2014. View at Google Scholar
  22. F. Xiao, X. Y. Meng, and T. W. Chen, “Average sampled-data consensus driven by edge events,” in Proceeding of the 31st Chinese Control Conference, pp. 6239–6244, Hefei, China, 2012.
  23. D. Liuzza, D. V. Dimarogonas, M. D. Bernardo, and K. H. Johansson, “Distributed model based event-triggered control for synchronization of multi-agent systems,” in Proceedings of the 9th IFAC Symposium on Nonlinear Control Systems, pp. 329–334, Toulouse, France, 2013.
  24. L. Scardovi and R. Sepulchre, “Synchronization in networks of identical linear systems,” Automatica, vol. 45, no. 11, pp. 2557–2562, 2009. View at Publisher · View at Google Scholar · View at Scopus
  25. S. Golfinger, Event-triggered control for synchronization [M.S. thesis], 2012.
  26. Z. Q. Zhang, F. Hao, L. Zhang, and L. Wang, “Consensus of linear multi-agent systems via event-triggered control,” International Journal of Control, vol. 87, no. 6, pp. 1243–1251, 2014. View at Google Scholar
  27. Z. K. Li, Z. S. Duan, G. R. Chen, and L. Huang, “Consensus of multiagent systems and synchronization of complex networks: a unified viewpoint,” IEEE Transactions on Circuits and Systems I, vol. 57, no. 1, pp. 213–224, 2010. View at Google Scholar
  28. J. H. Qin, H. J. Gao, and C. B. Yu, “On discrete-time convergence for general linear multi-agent systems under dynamic topology,” IEEE Transactions on Automatic Control, vol. 59, no. 4, pp. 1054–1059, 2014. View at Google Scholar
  29. C. T. Chen, Linear Systen Theory and Design, Oxford University Press, 1999.
  30. K. Hengster-Movric and F. Lewis, “Cooperative observers and regulators for discrete-time multiagent systems,” International Journal of Robust and Nonlinear Control, vol. 23, no. 14, pp. 1545–1562, 2013. View at Google Scholar
  31. V. Gupta, B. Hassibi, and R. M. Murray, “A sub-optimal algorithm to synthesize control laws for a network of dynamic agents,” International Journal of Control, vol. 78, no. 16, pp. 1302–1313, 2005. View at Publisher · View at Google Scholar · View at Scopus