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Mathematical Problems in Engineering
Volume 2013, Article ID 979087, 12 pages
http://dx.doi.org/10.1155/2013/979087
Research Article

Distributed Robust Consensus Control of Multiagent Systems with Communication Errors Using Dynamic Output Feedback Protocol

State Key Laboratory for Turbulence and Complex System, Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, China

Received 17 April 2013; Accepted 8 May 2013

Academic Editor: Guanghui Wen

Copyright © 2013 Xi Yang and Jinzhi Wang. 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. J. A. Fax and R. M. Murray, “Information flow and cooperative control of vehicle formations,” IEEE Transactions on Automatic Control, vol. 49, no. 9, pp. 1465–1476, 2004. View at Publisher · View at Google Scholar · View at MathSciNet
  2. R. Olfati-Saber, J. A. Fax, and R. M. Murray, “Consensus and cooperation in networked multi-agent systems,” Proceedings of the IEEE, vol. 95, no. 1, pp. 215–233, 2007. View at Publisher · View at Google Scholar · View at Scopus
  3. W. Ren and R. W. Beard, Distributed Consensus in Multi-Vehicle Cooperative Control: Theory and Applications, Springer, London, UK, 2008.
  4. R. Olfati-Saber and R. M. Murray, “Consensus problems in networks of agents with switching topology and time-delays,” IEEE Transactions on Automatic Control, vol. 49, no. 9, pp. 1520–1533, 2004. View at Publisher · View at Google Scholar · View at MathSciNet
  5. L. Moreau, “Stability of multiagent systems with time-dependent communication links,” IEEE Transactions on Automatic Control, vol. 50, no. 2, pp. 169–182, 2005. View at Publisher · View at Google Scholar · View at MathSciNet
  6. K. L. Moore and D. Lucarelli, “Decentralized adaptive scheduling using consensus variables,” International Journal of Robust and Nonlinear Control, vol. 17, no. 10-11, pp. 921–940, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  7. Z. Duan, J. Wang, G. Chen, and L. Huang, “Stability analysis and decentralized control of a class of complex dynamical networks,” Automatica, vol. 44, no. 4, pp. 1028–1035, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  8. S. E. Tuna, “Conditions for synchronizability in arrays of coupled linear systems,” IEEE Transactions on Automatic Control, vol. 54, no. 10, pp. 2416–2420, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  9. Z. Li, Z. Duan, G. 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 Publisher · View at Google Scholar · View at MathSciNet
  10. C.-Q. Ma and J.-F. Zhang, “Necessary and sufficient conditions for consensusability of linear multi-agent systems,” IEEE Transactions on Automatic Control, vol. 55, no. 5, pp. 1263–1268, 2010. View at Publisher · View at Google Scholar · View at MathSciNet
  11. Z. Li, Z. Duan, and G. Chen, “Dynamic consensus of linear multi-agent systems,” IET Control Theory & Applications, vol. 5, no. 1, pp. 19–28, 2011. View at Publisher · View at Google Scholar · View at MathSciNet
  12. W. Yu, G. Chen, W. Ren, J. Kurths, and W. X. Zheng, “Distributed higher order consensus protocols in multiagent dynamical systems,” IEEE Transactions on Circuits and Systems I, vol. 58, no. 8, pp. 1924–1932, 2011. View at Publisher · View at Google Scholar · View at MathSciNet
  13. W. Yu, W. X. Zheng, G. Chen, W. Ren, and J. Cao, “Second-order consensus in multi-agent dynamical systems with sampled position data,” Automatica, vol. 47, no. 7, pp. 1496–1503, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  14. G. Wen, Z. Duan, W. Yu, and G. Chen, “Consensus in multi-agent systems with communication constraints,” International Journal of Robust and Nonlinear Control, vol. 22, no. 2, pp. 170–182, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  15. M. Arcak, “Passivity as a design tool for group coordination,” IEEE Transactions on Automatic Control, vol. 52, no. 8, pp. 1380–1390, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  16. W. Yu, G. Chen, and M. Cao, “Consensus in directed networks of agents with nonlinear dynamics,” IEEE Transactions on Automatic Control, vol. 56, no. 6, pp. 1436–1441, 2011. View at Publisher · View at Google Scholar · View at MathSciNet
  17. 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 Zentralblatt MATH · View at MathSciNet
  18. J. H. Seo, H. Shim, and J. Back, “Consensus of high-order linear systems using dynamic output feedback compensator: low gain approach,” Automatica, vol. 45, no. 11, pp. 2659–2664, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  19. Y. Liu and Y. Jia, “H consensus control of multi-agent systems with switching topology: a dynamic output feedback protocol,” International Journal of Control, vol. 83, no. 3, pp. 527–537, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  20. H. Kim, H. Shim, and J. H. Seo, “Output consensus of heterogeneous uncertain linear multi-agent systems,” IEEE Transactions on Automatic Control, vol. 56, no. 1, pp. 200–206, 2011. View at Publisher · View at Google Scholar · View at MathSciNet
  21. U. Münz, A. Papachristodoulou, and F. Allgöwer, “Robust consensus controller design for nonlinear relative degree two multi-agent systems with communication constraints,” IEEE Transactions on Automatic Control, vol. 56, no. 1, pp. 145–151, 2011. View at Publisher · View at Google Scholar · View at MathSciNet
  22. J. Wang, Y. Tan, and I. Mareels, “Robustness analysis of leader-follower consensus,” Journal of Systems Science & Complexity, vol. 22, no. 2, pp. 186–206, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  23. X. Yang, J. Wang, and Y. Tan, “Robustness analysis of leader-follower consensus for multi-agent systems characterized by double integrators,” Systems & Control Letters, vol. 61, no. 11, pp. 1103–1115, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  24. P. Lin, Y. Jia, and L. Li, “Distributed robust H consensus control in directed networks of agents with time-delay,” Systems & Control Letters, vol. 57, no. 8, pp. 643–653, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  25. Z. Li, Z. Duan, and G. Chen, “On H and H2 performance regions of multi-agent systems,” Automatica, vol. 47, no. 4, pp. 797–803, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  26. G. Wen, Z. Duan, Z. Li, and G. Chen, “Consensus and its 2-gain performance of multi-agent systems with intermittent information transmissions,” International Journal of Control, vol. 85, no. 4, pp. 384–396, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  27. Y. Zhao, Z. Duan, G. Wen, and G. Chen, “Distributed H consensus of multi-agent systems: a performance region-based approach,” International Journal of Control, vol. 85, no. 3, pp. 332–341, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  28. H. Zhang and F. L. Lewis, “Adaptive cooperative tracking control of higher-order nonlinear systems with unknown dynamics,” Automatica, vol. 48, no. 7, pp. 1432–1439, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  29. G. E. Dullerud and F. G. Paganini, A Course in Robust Control Theory: A Convex Approach, Springer, New York, NY, USA, 2000.
  30. K. M. Zhou and J. C. Doyle, Essentials of Robust Control, Prentice Hall, New York, NY, USA, 1998.