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Mathematical Problems in Engineering
Volume 2014, Article ID 267307, 9 pages
http://dx.doi.org/10.1155/2014/267307
Research Article

Neural Network Observer-Based Finite-Time Formation Control of Mobile Robots

1School of Electrical Engineering, Guangdong Mechanical and Electrical College, Guangzhou 510550, China
2Key Laboratory of Autonomous Systems and Networked Control, Ministry of Education, South China University of Technology, Guangzhou 510640, China
3School of Electrical and Information Engineering, Jiangsu University, Zhenjiang 212013, China
4School of Biomedical Engineering, National University of Singapore, Singapore 117575

Received 22 March 2014; Accepted 18 June 2014; Published 7 July 2014

Academic Editor: Simin Yu

Copyright © 2014 Caihong Zhang et al. 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. T. Balch and R. C. Arkin, “Behavior-based formation control for multirobot teams,” IEEE Transactions on Robotics and Automation, vol. 14, no. 6, pp. 926–939, 1998. View at Publisher · View at Google Scholar · View at Scopus
  2. J. R. T. Lawton, R. W. Beard, and B. J. Young, “A decentralized approach to formation maneuvers,” IEEE Transactions on Robotics and Automation, vol. 19, no. 6, pp. 933–941, 2003. View at Publisher · View at Google Scholar · View at Scopus
  3. M. Egerstedt and X. Hu, “Formation constrained multi-agent control,” IEEE Transactions on Robotics and Automation, vol. 17, no. 6, pp. 947–951, 2001. View at Publisher · View at Google Scholar · View at Scopus
  4. S. J. Yoo, J. B. Park, and Y. H. Choi, “Adaptive formation tracking control of electrically driven multiple mobile robots,” IET Control Theory and Applications, vol. 4, no. 8, pp. 1489–1500, 2010. View at Publisher · View at Google Scholar · View at Scopus
  5. W. J. Dong, Y. Guo, and J. A. Farrell, “Formation control of nonholonomic mobile robots,” in Proceedings of the American Control Conference, pp. 5602–5607, Minneapolis, Minn, USA, June 2006. View at Scopus
  6. 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 Scopus
  7. H. G. Tanner, G. J. Pappas, and V. Kumar, “Leader-to-formation stability,” IEEE Transactions on Robotics and Automation, vol. 20, no. 3, pp. 443–455, 2004. View at Publisher · View at Google Scholar · View at Scopus
  8. X. Li and J. Xiao, “Robot formation control in leader-follower motion using direct Lyapunov method,” International Journal of Intelligent Control and Systems, vol. 10, pp. 244–250, 2005. View at Google Scholar
  9. J. Shao, G. Xie, and L. Wang, “Leader-following formation control of multiple mobile vehicles,” IET Control Theory and Applications, vol. 1, no. 2, pp. 545–552, 2007. View at Publisher · View at Google Scholar · View at Scopus
  10. L. Consolini, F. Morbidi, D. Prattichizzo, and M. Tosques, “Leader-follower formation control of nonholonomic mobile robots with input constraints,” Automatica, vol. 44, no. 5, pp. 1343–1349, 2008. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  11. T. Gustavi and X. Hu, “Observer-based leader-following formation control using onboard sensor information,” IEEE Transactions on Robotics, vol. 24, no. 6, pp. 1457–1462, 2008. View at Publisher · View at Google Scholar · View at Scopus
  12. K. Choi, S. J. Yoo, J. B. Park, and Y. H. Choi, “Adaptive formation control in absence of leader's velocity information,” IET Control Theory & Applications, vol. 4, no. 4, pp. 521–528, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  13. J. Chen, D. Sun, J. Yang, and H. Chen, “Leader-follower formation control of multiple non-holonomic mobile robots incorporating a Receding-Horizon scheme,” International Journal of Robotics Research, vol. 29, no. 6, pp. 727–747, 2010. View at Publisher · View at Google Scholar · View at Scopus
  14. T. Dierks and S. Jagannathan, “Asymptotic adaptive neural network tracking control of nonholonomic mobile robot formations,” Journal of Intelligent and Robotic Systems, vol. 56, no. 1-2, pp. 153–176, 2009. View at Publisher · View at Google Scholar · View at Scopus
  15. T. Dierks and S. Jagannathan, “Neural network control of mobile robot formations using RISE feedback,” IEEE Transactions on Systems, Man, and Cybernetics B: Cybernetics, vol. 39, no. 2, pp. 332–347, 2009. View at Publisher · View at Google Scholar · View at Scopus
  16. T. Dierks and S. Jagannathan, “Neural network output feedback control of robot formations,” IEEE Transactions on Systems, Man, and Cybernetics B: Cybernetics, vol. 40, no. 2, pp. 383–399, 2010. View at Publisher · View at Google Scholar · View at Scopus
  17. B. S. Park, J. B. Park, and Y. H. Choi, “Robust adaptive formation control and collision avoidance for electrically driven non-holonomic mobile robots,” IET Control Theory and Applications, vol. 5, no. 3, pp. 514–522, 2011. View at Google Scholar
  18. F. Xiao, L. Wang, J. Chen, and Y. Gao, “Finite-time formation control for multi-agent systems,” Automatica, vol. 45, no. 11, pp. 2605–2611, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  19. Y. Cao, W. Ren, and Z. Meng, “Decentralized finite-time sliding mode estimators and their applications in decentralized finite-time formation tracking,” Systems & Control Letters, vol. 59, no. 9, pp. 522–529, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  20. S. Li, H. Du, and X. Lin, “Finite-time consensus algorithm for multi-agent systems with double-integrator dynamics,” Automatica, vol. 47, no. 8, pp. 1706–1712, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  21. M. Ou, H. Du, and S. Li, “Finite-time formation control of multiple nonholonomic mobile robots,” International Journal of Robust and Nonlinear Control, vol. 24, no. 1, pp. 140–165, 2014. View at Publisher · View at Google Scholar
  22. T. Sun, F. Liu, H. Pei, and Y. He, “Observer-based adaptive leader-following formation control for non-holonomic mobile robots,” IET Control Theory & Applications, vol. 6, no. 18, pp. 2835–2841, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  23. T. Sun, H. Pei, Y. Pan, H. Zhou, and C. Zhang, “Neural network-based sliding mode adaptive control for robot manipulators,” Neurocomputing, vol. 74, no. 14-15, pp. 2377–2384, 2011. View at Publisher · View at Google Scholar · View at Scopus
  24. T. Sun, H. Pei, Y. Pan, and C. Zhang, “Robust adaptive neutral network control for environmental boundary tracking by mobile robots,” International Journal of Robust and Nonlinear Control, vol. 23, no. 2, pp. 123–136, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  25. Y. Pan, M. J. Er, D. Huang, and Q. Wang, “Adaptive fuzzy control with guaranteed convergence of optimal approximation error,” IEEE Transactions on Fuzzy Systems, vol. 19, no. 5, pp. 807–818, 2011. View at Publisher · View at Google Scholar · View at Scopus
  26. Y. Pan and M. J. Er, “Enhanced adaptive fuzzy control with optimal approximation error convergence,” IEEE Transactions on Fuzzy Systems, vol. 21, no. 6, pp. 1123–1132, 2013. View at Google Scholar
  27. Y. Pan, Y. Zhou, T. Sun, and M. J. Er, “Composite adaptive fuzzy H tracking control of uncertain nonlinear systems,” Neurocomputing, vol. 99, pp. 15–24, 2013. View at Publisher · View at Google Scholar · View at Scopus
  28. F. L. Lewis, S. Jagannathan, and A. Yesilderek, Neural Network Control of Robot Manipulators and Nonlinear Systems, Taylor & Francis, London, UK, 1999.
  29. S. P. Bhat and D. S. Bernstein, “Finite-time stability of continuous autonomous systems,” SIAM Journal on Control and Optimization, vol. 38, no. 3, pp. 751–766, 2000. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  30. Y. Su, “Global continuous finite-time tracking of robot manipulators,” International Journal of Robust and Nonlinear Control, vol. 19, no. 17, pp. 1871–1885, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  31. Y. Su and C. Zheng, “Global finite-time inverse tracking control of robot manipulators,” Robotics and Computer-Integrated Manufacturing, vol. 27, no. 3, pp. 550–557, 2011. View at Publisher · View at Google Scholar · View at Scopus