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Mathematical Problems in Engineering
Volume 2015, Article ID 903058, 13 pages
http://dx.doi.org/10.1155/2015/903058
Research Article

Robust Fault-Tolerant Tracking Control for Nonlinear Networked Control System: Asynchronous Switched Polytopic Approach

1School of Aeronautic Science and Engineering, Beihang University, Beijing 100191, China
2School of Automation Science and Electrical Engineering, Beihang University, Beijing 100191, China
3Beijing Aerospace Automatic Control Institute, Beijing 100854, China

Received 11 June 2015; Accepted 10 September 2015

Academic Editor: Xinggang Yan

Copyright © 2015 Chaoyang Dong 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. L. A. Montestruque and P. J. Antsaklis, “On the model-based control of networked systems,” Automatica, vol. 39, no. 10, pp. 1837–1843, 2003. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  2. X. Liu and K. D. Kumar, “Network-based tracking control of spacecraft formation flying with communication delays,” IEEE Transactions on Aerospace and Electronic Systems, vol. 48, no. 3, pp. 2302–2314, 2012. View at Publisher · View at Google Scholar · View at Scopus
  3. C. Y. Dong, L. J. Xu, Y. Chen, and Q. Wang, “Networked flexible spacecraft attitude maneuver based on adaptive fuzzy sliding mode control,” Acta Astronautica, vol. 65, no. 11-12, pp. 1561–1570, 2009. View at Publisher · View at Google Scholar · View at Scopus
  4. P. Park, H. Khadilkar, H. Balakrishnan, and C. J. Tomlin, “High confidence networked control for next generation air transportation systems,” IEEE Transactions on Automatic Control, vol. 59, no. 12, pp. 3357–3372, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  5. P. Wang and Y. M. Jia, “Robust H containment control for second-order multi-agent systems with nonlinear dynamics in directed networks,” Neurocomputing, vol. 153, pp. 235–241, 2015. View at Publisher · View at Google Scholar · View at Scopus
  6. T. C. Yang, “Networked control system: a brief survey,” IEE Proceedings: Control Theory and Applications, vol. 153, no. 4, pp. 403–412, 2006. View at Publisher · View at Google Scholar · View at Scopus
  7. Y.-Y. Cao and P. M. Frank, “Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach,” IEEE Transactions on Fuzzy Systems, vol. 8, no. 2, pp. 200–211, 2000. View at Publisher · View at Google Scholar · View at Scopus
  8. S. K. Nguang and P. Shi, “H fuzzy output feedback control design for nonlinear systems: an LMI approach,” IEEE Transactions on Fuzzy Systems, vol. 11, no. 3, pp. 331–340, 2003. View at Publisher · View at Google Scholar · View at Scopus
  9. D. Wang and J. Huang, “Neural network-based adaptive dynamic surface control for a class of uncertain nonlinear systems in strict-feedback form,” IEEE Transactions on Neural Networks, vol. 16, no. 1, pp. 195–202, 2005. View at Publisher · View at Google Scholar · View at Scopus
  10. T. Zhang, S. S. Ge, and C. C. Hang, “Adaptive neural network control for strict-feedback nonlinear systems using backstepping design,” Automatica, vol. 36, no. 12, pp. 1835–1846, 2000. View at Google Scholar · View at MathSciNet
  11. J. Zhao and G. M. Dimirovski, “Quadratic stability of a class of switched nonlinear systems,” IEEE Transactions on Automatic Control, vol. 49, no. 4, pp. 574–578, 2004. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  12. P. Mhaskar, N. H. El-Farra, and P. D. Christofides, “Predictive control of switched nonlinear systems with scheduled mode transitions,” IEEE Transactions on Automatic Control, vol. 50, no. 11, pp. 1670–1680, 2005. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  13. N. H. El-Farra, P. Mhaskar, and P. D. Christofides, “Output feedback control of switched nonlinear systems using multiple Lyapunov functions,” Systems and Control Letters, vol. 54, no. 12, pp. 1163–1182, 2005. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  14. Y. Z. Hou, Q. Wang, and C. Y. Dong, “Gain scheduled control: switched polytopic system approach,” Journal of Guidance, Control, and Dynamics, vol. 34, no. 2, pp. 623–629, 2011. View at Publisher · View at Google Scholar · View at Scopus
  15. G. A. Munoz-Hernandez, C. A. Gracios-Marin, D. I. Jones, S. P. Mansoor, J. F. Guerrero-Castellanos, and E. A. Portilla-Flores, “Evaluation of gain scheduled predictive control in a nonlinear MIMO model of a hydropower station,” International Journal of Electrical Power and Energy Systems, vol. 66, pp. 125–132, 2015. View at Publisher · View at Google Scholar · View at Scopus
  16. Y. Q. Luo, G. L. Wei, X. M. Ding, and Y. R. Liu, “Controller design for 2-D stochastic nonlinear Roesser model: a probability-dependent gain-scheduling approach,” Journal of the Franklin Institute, vol. 351, no. 11, pp. 5182–5203, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  17. H. Yang, B. Jiang, and M. Staroswiecki, “Observer-based fault-tolerant control for a class of switched nonlinear systems,” IET Control Theory and Applications, vol. 1, no. 5, pp. 1523–1532, 2007. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  18. R. Wang, G. Jin, and J. Zhao, “Robust fault-tolerant control for a class of switched nonlinear systems in lower triangular form,” Asian Journal of Control, vol. 9, no. 1, pp. 68–72, 2007. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  19. M. Du and P. Mhaskar, “A safe-parking and safe-switching framework for fault-tolerant control of switched nonlinear systems,” International Journal of Control, vol. 84, no. 1, pp. 9–23, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  20. W. J. Rugh and J. S. Shamma, “Research on gain scheduling,” Automatica, vol. 36, no. 10, pp. 1401–1425, 2000. View at Publisher · View at Google Scholar · View at MathSciNet
  21. Y. Z. Hou, C. Y. Dong, and Q. Wang, “Stability analysis of switched linear systems with locally overlapped switching law,” Journal of Guidance, Control, and Dynamics, vol. 33, no. 2, pp. 396–403, 2010. View at Publisher · View at Google Scholar · View at Scopus
  22. T. T. Yang, A. J. Li, and E. Z. Niu, “Robust dynamic output feedback control for switched polytopic systems under asynchronous switching,” Chinese Journal of Aeronautics, vol. 28, no. 4, pp. 1226–1235, 2015. View at Google Scholar
  23. W. M. Xiang, J. Xiao, and M. N. Iqbal, “State estimation for short-time switched linear systems under asynchronous switching,” International Journal of Adaptive Control and Signal Processing, vol. 28, no. 6, pp. 553–561, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  24. D. Ma and J. Zhao, “Stabilization of networked switched linear systems: an asynchronous switching delay system approach,” Systems and Control Letters, vol. 77, pp. 46–54, 2015. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  25. L. X. Zhang and H. J. Gao, “Asynchronously switched control of switched linear systems with average dwell time,” Automatica, vol. 46, no. 5, pp. 953–958, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  26. L. X. Zhang and P. Shi, “Stability, l2-gain and asynchronous H control of discrete-time switched systems with average dwell time,” IEEE Transactions on Automatic Control, vol. 54, no. 9, pp. 2192–2199, 2009. View at Publisher · View at Google Scholar · View at Scopus
  27. J. X. Lin, S. M. Fei, and Z. F. Gao, “Stabilization of discrete-time switched singular time-delay systems under asynchronous switching,” Journal of the Franklin Institute—Engineering and Applied Mathematics, vol. 349, no. 5, pp. 1808–1827, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  28. X. D. Zhao, P. Shi, and L. X. Zhang, “Asynchronously switched control of a class of slowly switched linear systems,” Systems and Control Letters, vol. 61, no. 12, pp. 1151–1156, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  29. Z. L. Wang, Q. Wang, and C. Y. Dong, “Asynchronous H control for unmanned aerial vehicles: switched polytopic system approach,” IEEE/CAA Journal of Automatica Sinica, vol. 2, no. 2, pp. 207–216, 2015. View at Publisher · View at Google Scholar · View at MathSciNet
  30. J. P. Hespanha and A. S. Morse, “Stability of switched systems with average dwell-time,” in Proceedings of the 38th IEEE Conference on Decision and Control (CDC '99), vol. 3, pp. 2655–2660, December 1999. View at Scopus
  31. L. Zhang, E.-K. Boukas, and P. Shi, “Exponential H filtering for uncertain discrete-time switched linear systems with average dwell time: a μ-dependent approach,” International Journal of Robust and Nonlinear Control, vol. 18, no. 11, pp. 1188–1207, 2008. View at Publisher · View at Google Scholar
  32. D. Chatterjee and D. Liberzon, “Stability analysis of deterministic and stochastic switched systems via a comparison principle and multiple Lyapunov functions,” SIAM Journal on Control and Optimization, vol. 45, no. 1, pp. 174–206, 2006. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  33. D. S. Du, B. Jiang, and P. Shi, “Fault detection for discrete-time switched systems with intermittent measurements,” International Journal of Control, vol. 85, no. 1, pp. 78–87, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  34. G. L. Hartmann, M. F. Barrett, and C. S. Greene, “Control design for an unstable vehicle,” NASA CR-170393, NASA, 1979. View at Google Scholar
  35. L. Guo and W.-H. Chen, “Disturbance attenuation and rejection for systems with nonlinearity via DOBC approach,” International Journal of Robust and Nonlinear Control, vol. 15, no. 3, pp. 109–125, 2005. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  36. J. Lofberg, “YALMIP: a toolbox for modeling and optimization in MATLAB,” in Proceedings of the IEEE International Symposium on Computer Aided Control Systems Design, pp. 284–289, IEEE, Taipei, Taiwan, September 2004. View at Publisher · View at Google Scholar
  37. Y. Q. Huang, C. Y. Sun, C. S. Qian, and L. Wang, “Slow-fast loop gain-scheduled switching attitude tracking control for a near-space hypersonic vehicle,” Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering, vol. 227, no. 1, pp. 96–109, 2013. View at Publisher · View at Google Scholar · View at Scopus