Table of Contents Author Guidelines Submit a Manuscript
Abstract and Applied Analysis
Volume 2014, Article ID 735232, 12 pages
http://dx.doi.org/10.1155/2014/735232
Research Article

Sampled-Data Consensus for Nonlinear Multiagent Dynamical Systems via Reliable Control

College of Mathematics and Information and Engineering, Jiaxing University, Zhejiang 314001, China

Received 30 April 2014; Accepted 15 June 2014; Published 7 July 2014

Academic Editor: Chengjian Zhang

Copyright © 2014 Hongjie Li. 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. R. W. Beard, T. W. McLain, M. A. Goodrich, and E. P. Anderson, “Coordinated target assignment and intercept for unmanned air vehicles,” IEEE Transactions on Robotics and Automation, vol. 18, no. 6, pp. 911–922, 2002. View at Publisher · View at Google Scholar · View at Scopus
  2. 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 · View at Scopus
  3. W. Ren, R. W. Beard, and E. M. Atkins, “Information consensus in multivehicle cooperative control,” IEEE Control Systems Magazine, vol. 27, no. 2, pp. 71–82, 2007. View at Publisher · View at Google Scholar · View at Scopus
  4. J. Cortés and F. Bullo, “Coordination and geometric optimization via distributed dynamical systems,” SIAM Journal on Control and Optimization, vol. 44, no. 5, pp. 1543–1574, 2005. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  5. A. Jadbabaie, J. Lin, and A. S. Morse, “Coordination of groups of mobile autonomous agents using nearest neighbor rules,” IEEE Transactions on Automatic Control, vol. 48, no. 6, pp. 988–1001, 2003. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  6. 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 · View at Scopus
  7. W. Ren and R. W. Beard, “Consensus seeking in multiagent systems under dynamically changing interaction topologies,” IEEE Transactions on Automatic Control, vol. 50, no. 5, pp. 655–661, 2005. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  8. 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 · View at Scopus
  9. 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 · View at Scopus
  10. W. Yu, W. Ren, W. X. Zheng, G. Chen, and J. Lü, “Distributed control gains design for consensus in multi-agent systems with second-order nonlinear dynamics,” Automatica, vol. 49, no. 7, pp. 2107–2115, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  11. G. Wen, G. Hu, W. Yu, J. Cao, and G. Chen, “Consensus tracking for higher-order multi-agent systems with switching directed topologies and occasionally missing control inputs,” Systems & Control Letters, vol. 62, no. 12, pp. 1151–1158, 2013. View at Google Scholar
  12. H. Zhao, J. H. Park, and Y. Zhang, “Couple-group consensus for second-order multi-agent systems with fixed and stochastic switching topologies,” Applied Mathematics and Computation, vol. 232, pp. 595–605, 2014. View at Publisher · View at Google Scholar · View at MathSciNet
  13. T. H. Lee, J. H. Park, D. H. Ji, and H. Y. Jung, “Leader-following consensus problem of heterogeneous multi-agent systems with nonlinear dynamics using fuzzy disturbance observer,” Complexity, vol. 19, no. 4, pp. 20–31, 2014. View at Publisher · View at Google Scholar · View at MathSciNet
  14. E. Fridman, U. Shaked, and V. Suplin, “Input/output delay approach to robust sampled-data H control,” Systems & Control Letters, vol. 54, no. 3, pp. 271–282, 2005. View at Publisher · View at Google Scholar · View at Scopus
  15. E. Fridman, “A refined input delay approach to sampled-data control,” Automatica, vol. 46, no. 2, pp. 421–427, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  16. Y. Cheng and D. Xie, “Distributed observer design for bounded tracking control of leader-follower multi-agent systems in a sampled-data setting,” International Journal of Control, vol. 87, no. 1, pp. 41–51, 2014. View at Publisher · View at Google Scholar · View at MathSciNet
  17. M. J. Park, O. M. Kwon, J. H. Park, and S. M. a. Lee, “Randomly changing leader-following consensus control for Markovian switching multi-agent systems with interval time-varying delays,” Nonlinear Analysis: Hybrid Systems, vol. 12, pp. 117–131, 2014. View at Publisher · View at Google Scholar · View at MathSciNet
  18. G. Guo, L. Ding, and Q.-L. Han, “A distributed event-triggered transmission strategy for sampled-data consensus of multi-agent systems,” Automatica, vol. 50, no. 5, pp. 1489–1496, 2014. View at Publisher · View at Google Scholar · View at MathSciNet
  19. T. Li and J. Zhang, “Sampled-data based average consensus control for networks of continuous-time integrator agents with measurement noises,” in Proceedings of the 26th Chinese Control Conference (CCC '07), pp. 716–720, July 2007. View at Publisher · View at Google Scholar · View at Scopus
  20. H. Liu, G. Xie, and L. Wang, “Necessary and sufficient conditions for solving consensus problems of double-integrator dynamics via sampled control,” International Journal of Robust and Nonlinear Control, vol. 20, no. 15, pp. 1706–1722, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  21. Y. Cao and W. Ren, “Multi-vehicle coordination for double-integrator dynamics under fixed undirected/directed interaction in a sampled-data setting,” International Journal of Robust and Nonlinear Control, vol. 20, no. 9, pp. 987–1000, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  22. Y. Gao and L. Wang, “Sampled-data based consensus of continuous-time multi-agent systems with time-varying topology,” IEEE Transactions on Automatic Control, vol. 56, no. 5, pp. 1226–1231, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  23. W. Yu, L. Zhou, X. Yu, J. Lu, and R. Lu, “Consensus in multi-agent systems with second-order dynamics and sampled data,” IEEE Transactions on Industrial Informatics, vol. 9, no. 4, pp. 2137–2146, 2013. View at Publisher · View at Google Scholar
  24. 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 MathSciNet · View at Scopus
  25. J. Zhang, X. Xu, L. Hong, and Y. Yan, “Consensus recovery of multi-agent systems subjected to failures,” International Journal of Control, vol. 85, no. 3, pp. 280–286, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  26. J.-W. Wang and L.-L. Rong, “Edge-based-attack induced cascading failures on scale-free networks,” Physica A: Statistical Mechanics and Its Applications, vol. 388, no. 8, pp. 1731–1737, 2009. View at Publisher · View at Google Scholar · View at Scopus
  27. Z. Wang, F. Yang, D. W. C. Ho, and X. Liu, “Robust H filtering for stochastic time-delay systems with missing measurements,” IEEE Transactions on Signal Processing, vol. 54, no. 7, pp. 2579–2587, 2006. View at Publisher · View at Google Scholar · View at Scopus
  28. Z. Wang, D. W. C. Ho, Y. Liu, and X. Liu, “Robust H control for a class of nonlinear discrete time-delay stochastic systems with missing measurements,” Automatica, vol. 45, no. 3, pp. 684–691, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  29. E. Tian, D. Yue, T. C. Yang, Z. Gu, and G. Lu, “TS fuzzy model-based robust stabilization for networked control systems with probabilistic sensor and actuator failure,” IEEE Transactions on Fuzzy Systems, vol. 19, no. 3, pp. 553–561, 2011. View at Publisher · View at Google Scholar · View at Scopus
  30. E. Tian, D. Yue, and C. Peng, “Brief Paper: reliable control for networked control systems with probabilistic sensors and actuators faults,” IET Control Theory & Applications, vol. 4, no. 8, pp. 1478–1488, 2010. View at Publisher · View at Google Scholar · View at Scopus
  31. E. Tian, D. Yue, and C. Peng, “Reliable control for networked control systems with probabilistic actuator fault and random delays,” Journal of the Franklin Institute, vol. 347, no. 10, pp. 1907–1926, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  32. D. Yue, E. Tian, Y. Zhang, and C. Peng, “Delay-distribution-dependent robust stability of uncertain systems with time-varying delay,” International Journal of Robust and Nonlinear Control, vol. 19, no. 4, pp. 377–393, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  33. D. Yue, E. Tian, and Y. Zhang, “A piecewise analysis method to stability analysis of linear continuous/discrete systems with time-varying delay,” International Journal of Robust and Nonlinear Control, vol. 19, no. 13, pp. 1493–1518, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  34. Y. Liu, Z. Wang, J. Liang, and X. Liu, “Synchronization and state estimation for discrete-time complex networks with distributed delays,” IEEE Transactions on Systems, Man, and Cybernetics B, vol. 38, no. 5, pp. 1314–1325, 2008. View at Publisher · View at Google Scholar · View at Scopus
  35. Y. Wang, Z. Wang, and J. Liang, “Global synchronization for delayed complex networks with randomly occurring nonlinearities and multiple stochastic disturbances,” Journal of Physics A: Mathematical and Theoretical, vol. 42, no. 13, Article ID 135101, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  36. H. Li and D. Yue, “Synchronization of Markovian jumping stochastic complex networks with distributed time delays and probabilistic interval discrete time-varying delays,” Journal of Physics A: Mathematical and Theoretical, vol. 43, no. 10, Article ID 105101, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus