Table of Contents Author Guidelines Submit a Manuscript
Table of Contents Alerts

To receive news and publication updates for Mathematical Problems in Engineering, enter your email address in the box below.

Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 840517, 9 pages
http://dx.doi.org/10.1155/2014/840517
Research Article

Adaptive Fuzzy Containment Control for Uncertain Nonlinear Multiagent Systems

Yang Yu1,2 and Kang-Hyun Jo2

1School of Electrical Engineering, Liaoning University of Technology, Jinzhou 121001, China
2School of Electrical Engineering, University of Ulsan, Ulsan 680749, Republic of Korea

Received 12 April 2014; Revised 1 September 2014; Accepted 8 September 2014; Published 16 October 2014

Academic Editor: Xing-Gang Yan

Copyright © 2014 Yang Yu and Kang-Hyun Jo. 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. X.-G. Yan, J.-J. Wang, X.-Y. Lu, and S.-Y. Zhang, “Decentralized output feedback robust stabilization for a class of nonlinear interconnected systems with similarity,” IEEE Transactions on Automatic Control, vol. 43, no. 2, pp. 294–299, 1998. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  2. X. G. Yan, S. K. Spurgeon, and C. Edwards, “Decentralized output feedback sliding mode control of nonlinear large-scale systems with uncertainties,” Journal of Optimization Theory and Applications, vol. 119, no. 3, pp. 597–614, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  3. X.-G. Yan, C. Edwards, and S. K. Spurgeon, “Decentralised robust sliding mode control for a class of nonlinear interconnected systems by static output feedback,” Automatica, vol. 40, no. 4, pp. 613–620, 2004. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  4. X.-G. Yan, S. K. Spurgeon, and C. Edwards, “Decentralised stabilisation for nonlinear time delay interconnected systems using static output feedback,” Automatica, vol. 49, no. 2, pp. 633–641, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  5. 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
  6. R. W. Beard, J. Lawton, and F. Y. Hadaegh, “A coordination architecture for spacecraft formation control,” IEEE Transactions on Control Systems Technology, vol. 9, no. 6, pp. 777–790, 2001. View at Publisher · View at Google Scholar · View at Scopus
  7. 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
  8. 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
  9. A. Das and F. L. Lewis, “Distributed adaptive control for synchronization of unknown nonlinear networked systems,” Automatica, vol. 46, no. 12, pp. 2014–2021, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. H. W. 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 · View at Scopus
  11. Y. Hong, J. Hu, and L. Gao, “Tracking control for multi-agent consensus with an active leader and variable topology,” Automatica, vol. 42, no. 7, pp. 1177–1182, 2006. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  12. Y. G. Hong, G. R. Chen, and L. Bushnell, “Distributed observers design for leader-following control of multi-agent networks,” Automatica, vol. 44, no. 3, pp. 846–850, 2008. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  13. W. S. Chen, X. B. Li, and L. C. Jiao, “Quantized consensus of second-order continuous-time multi-agent systems with a directed topology via sampled data,” Automatica, vol. 49, no. 7, pp. 2236–2242, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  14. W. Wang, D. Wang, and Z. H. Peng, “Cooperative fuzzy adaptive output feedback control for synchronisation of nonlinear multi-agent systems under directed graphs,” International Journal of Systems Science, 2014. View at Publisher · View at Google Scholar · View at Scopus
  15. W. Ren and N. Sorensen, “Distributed coordination architecture for multi-robot formation control,” Robotics and Autonomous Systems, vol. 56, no. 4, pp. 324–333, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  16. Z. Peng, D. Wang, Z. Chen, X. Hu, and W. Lan, “Adaptive dynamic surface control for formations of autonomous surface vehicles with uncertain dynamics,” IEEE Transactions on Control Systems Technology, vol. 21, no. 2, pp. 513–520, 2013. View at Publisher · View at Google Scholar · View at Scopus
  17. M. Ji, G. Ferrari-Trecate, M. Egerstedt, and A. Buffa, “Containment control in mobile networks,” IEEE Transactions on Automatic Control, vol. 53, no. 8, pp. 1972–1975, 2008. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  18. G. Shi and Y. Hong, “Set tracking of multi-agent systems with variable topologies guided by moving multiple leaders,” in Proceedings of the 49th IEEE Conference on Decision and Control (CDC '10), pp. 2245–2250, Atlanta, Ga, USA, December 2010. View at Publisher · View at Google Scholar · View at Scopus
  19. Y. Cao, W. Ren, and M. Egerstedt, “Distributed containment control with multiple stationary or dynamic leaders in fixed and switching directed networks,” Automatica, vol. 48, no. 8, pp. 1586–1597, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  20. Y. Lou and Y. Hong, “Multi-leader set coordination of multi-agent systems with random switching topologies,” in Proceedings of the 49th IEEE Conference on Decision and Control (CDC '10), pp. 3820–3825, Atlanta, Ga, USA, December 2010. View at Publisher · View at Google Scholar · View at Scopus
  21. Y. C. Cao, D. Stuart, W. Ren, and Z. Y. Meng, “Distributed containment control for multiple autonomous vehicles with double-integrator dynamics: algorithms and experiments,” IEEE Transactions on Control Systems Technology, vol. 19, no. 4, pp. 929–938, 2011. View at Publisher · View at Google Scholar · View at Scopus
  22. J. Z. Li, W. Ren, and S. Y. Xu, “Distributed containment control with multiple dynamic leaders for double-integrator dynamics using only position measurements,” IEEE Transactions on Automatic Control, vol. 57, no. 6, pp. 1553–1559, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  23. Z. Li, W. Ren, X. Liu, and M. Fu, “Distributed containment control of multi-agent systems with general linear dynamics in the presence of multiple leaders,” International Journal of Robust and Nonlinear Control, vol. 23, no. 5, pp. 534–547, 2013. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  24. Z. Meng, W. Ren, and Z. You, “Distributed finite-time attitude containment control for multiple rigid bodies,” Automatica, vol. 46, no. 12, pp. 2092–2099, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  25. J. Mei, W. Ren, and G. F. Ma, “Distributed containment control for Lagrangian networks with parametric uncertainties under a directed graph,” Automatica, vol. 48, no. 4, pp. 653–659, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  26. J. Mei, W. Ren, B. Li, and G. Ma, “Containment control for networked unknown Lagrangian systems with multiple dynamic leaders under a directed graph,” in Proceedings of the 1st American Control Conference (ACC '13), pp. 522–527, Washington, DC, USA, June 2013. View at Scopus
  27. D. Yu, L. J. Bai, and W. J. Ren, “Finite time containment control of nonlinear multi-agent networks,” in Proceedings of the 25th Chinese Control and Decision Conference (CCDC '13), pp. 707–712, Guiyang, China, May 2013. View at Publisher · View at Google Scholar · View at Scopus
  28. S. C. Tong, T. Wang, and J. T. Tang, “Fuzzy adaptive output tracking control of nonlinear systems,” Fuzzy Sets and Systems, vol. 111, no. 2, pp. 169–182, 2000. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  29. S. Tong, C. Liu, and Y. Li, “Fuzzy-adaptive decentralized output-feedback control for large-scale nonlinear systems with dynamical uncertainties,” IEEE Transactions on Fuzzy Systems, vol. 18, no. 5, pp. 845–861, 2010. View at Publisher · View at Google Scholar · View at Scopus
  30. S. Tong and Y. Li, “Adaptive fuzzy output feedback tracking backstepping control of strict-feedback nonlinear systems with unknown dead zones,” IEEE Transactions on Fuzzy Systems, vol. 20, no. 1, pp. 168–180, 2012. View at Publisher · View at Google Scholar · View at Scopus
  31. L.-X. Wang and J. M. Mendel, “Fuzzy basis functions, universal approximation, and orthogonal least-squares learning,” IEEE Transactions on Neural Networks, vol. 3, no. 5, pp. 807–814, 1992. View at Publisher · View at Google Scholar · View at Scopus
  32. S.-C. Tong, X.-L. He, and H.-G. Zhang, “A combined backstepping and small-gain approach to robust adaptive fuzzy output feedback control,” IEEE Transactions on Fuzzy Systems, vol. 17, no. 5, pp. 1059–1069, 2009. View at Publisher · View at Google Scholar · View at Scopus
  33. S. Tong and Y. Li, “Observer-based fuzzy adaptive control for strict-feedback nonlinear systems,” Fuzzy Sets and Systems, vol. 160, no. 12, pp. 1749–1764, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  34. S. Tong, B. Huo, and Y. Li, “Observer-based adaptive decentralized fuzzy fault-tolerant control of nonlinear large-scale systems with actuator failures,” IEEE Transactions on Fuzzy Systems, vol. 22, no. 1, pp. 1–15, 2014. View at Publisher · View at Google Scholar · View at Scopus
  35. Z. K. Li, Z. S. Duan, and G. R. 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 · View at Scopus