Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 591789, 10 pages
http://dx.doi.org/10.1155/2015/591789
Research Article

Neural Network-Based Adaptive Backstepping Control for Hypersonic Flight Vehicles with Prescribed Tracking Performance

School of Automation Science and Electrical Engineering, Beihang University, Beijing 100191, China

Received 1 December 2014; Revised 11 April 2015; Accepted 15 April 2015

Academic Editor: Hak-Keung Lam

Copyright © 2015 Zhu Guoqiang and Liu Jinkun. 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. C. I. Marrison and R. F. Stengel, “Design of robust control systems for a hypersonic aircraft,” Journal of Guidance, Control, and Dynamics, vol. 21, no. 1, pp. 58–63, 1998. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  2. H. Xu, M. Mirmirani, and P. A. Ioannou, “Robust neural adaptive control of a hypersonic aircraft,” in Proceedings of the AIAA Guidance, Navigation, and Control Conference, vol. 7, pp. 1–11, AIAA, Austin, Tex, USA, August 2003.
  3. H. Xu, M. D. Mirmirani, and P. A. Ioannou, “Adaptive sliding mode control design for a hypersonic flight vehicle,” Journal of Guidance, Control, and Dynamics, vol. 27, no. 5, pp. 829–838, 2004. View at Publisher · View at Google Scholar · View at Scopus
  4. H. Li, P. Lin, and D. Xu, “Control-oriented modeling for air-breathing hypersonic vehicle using parameterized configuration approach,” Chinese Journal of Aeronautics, vol. 24, no. 1, pp. 81–89, 2011. View at Publisher · View at Google Scholar · View at Scopus
  5. X. Hu, L. Wu, C. Hu, and H. Gao, “Adaptive sliding mode tracking control for a flexible air-breathing hypersonic vehicle,” Journal of the Franklin Institute. Engineering and Applied Mathematics, vol. 349, no. 2, pp. 559–577, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  6. D. Gao and Z. Sun, “Fuzzy tracking control design for hypersonic vehicles via ts model,” Science China. Information Sciences, vol. 54, no. 3, pp. 521–528, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  7. D. Gao, S. Wang, and D. Lu, “Adaptive neural control design for hypersonic aircraft using time scale separation,” in Proceedings of the International Conference on Unmanned Aircraft Systems (ICUAS '13), pp. 1037–1042, May 2013. View at Publisher · View at Google Scholar · View at Scopus
  8. B. Xu, D. Gao, and S. Wang, “Adaptive neural control based on HGO for hypersonic flight vehicles,” Science China Information Sciences, vol. 54, no. 3, pp. 511–520, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  9. X. Hu, L. Wu, C. Hu, Z. Wang, and H. Gao, “Dynamic output feedback control of a flexible air-breathing hypersonic vehicle via T-S fuzzy approach,” International Journal of Systems Science, vol. 45, no. 8, pp. 1740–1756, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. D. O. Sigthorsson and A. Serrani, “Development of linear parameter-varying models of hypersonic air-breathing vehicles,” in Proceedings of the AIAA Guidance, Navigation, and Control Conference, August 2009. View at Scopus
  11. J. T. Parker, A. Serrani, S. Yurkovich, M. A. Bolender, and D. B. Doman, “Control-oriented modeling of an air-breathing hypersonic vehicle,” Journal of Guidance, Control, and Dynamics, vol. 30, no. 3, pp. 856–869, 2007. View at Publisher · View at Google Scholar · View at Scopus
  12. O. U. Rehman, B. Fidan, and I. R. Petersen, “Uncertainty modeling and robust minimax LQR control of multivariable nonlinear systems with application to hypersonic flight,” Asian Journal of Control, vol. 14, no. 5, pp. 1180–1193, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  13. O. Ur Rehman, I. R. Petersen, and B. Fidan, “Feedback linearization-based robust nonlinear control design for hypersonic flight vehicles,” Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering, vol. 227, no. 1, pp. 3–11, 2013. View at Publisher · View at Google Scholar · View at Scopus
  14. Q. Wang and R. F. Stengel, “Robust nonlinear control of a hypersonic aircraft,” Journal of Guidance, Control, and Dynamics, vol. 23, no. 4, pp. 577–585, 2000. View at Publisher · View at Google Scholar · View at Scopus
  15. L. Fiorentini, A. Serrani, M. A. Bolender, and D. B. Doman, “Nonlinear robust adaptive control of flexible air-breathing hypersonic vehicles,” Journal of Guidance, Control, and Dynamics, vol. 32, no. 2, pp. 401–416, 2009. View at Publisher · View at Google Scholar · View at Scopus
  16. B. Xu, F. Sun, C. Yang, D. Gao, and J. Ren, “Adaptive discrete-time controller design with neural network for hypersonic flight vehicle via back-stepping,” International Journal of Control, vol. 84, no. 9, pp. 1543–1552, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  17. R. M. Sanner and J. J. E. Slotine, “Gaussian networks for direct adaptive control,” IEEE Transactions on Neural Networks, vol. 3, no. 6, pp. 837–863, 1992. View at Publisher · View at Google Scholar · View at Scopus
  18. D. Gao, Z. Sun, and T. Du, “Dynamic surface control for hypersonic aircraft using fuzzy logic system,” in Proceedings of the IEEE International Conference on Automation and Logistics (ICAL '07), pp. 2314–2319, IEEE, August 2007. View at Publisher · View at Google Scholar · View at Scopus
  19. B. Xu, D. Wang, F. Sun, and Z. Shi, “Direct neural control of hypersonic flight vehicles with prediction model in discrete time,” Neurocomputing, vol. 115, pp. 39–48, 2013. View at Publisher · View at Google Scholar · View at Scopus
  20. W. A. Butt, L. Yan, and A. S. Kendrick, “Adaptive dynamic surface control of a hypersonic flight vehicle with improved tracking,” Asian Journal of Control, vol. 15, no. 2, pp. 594–605, 2013. View at Publisher · View at Google Scholar · View at Scopus
  21. W. A. Butt, L. Yan, and A. S. Kendrick, “Dynamic surface control for nonlinear hypersonic air vehicle using neural network,” in Proceedings of the 29th Chinese Control Conference (CCC '10), pp. 733–738, July 2010. View at Scopus
  22. T. Lee and Y. Kim, “Nonlinear adaptive flight control using backstepping and neural networks controller,” Journal of Guidance, Control, and Dynamics, vol. 24, no. 4, pp. 675–682, 2001. View at Publisher · View at Google Scholar · View at Scopus
  23. C. P. Bechlioulis and G. A. Rovithakis, “Prescribed performance adaptive control for multi-input multi-output affine in the control nonlinear systems,” IEEE Transactions on Automatic Control, vol. 55, no. 5, pp. 1220–1226, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  24. C. P. Bechlioulis and G. A. Rovithakis, “Adaptive control with guaranteed transient and steady state tracking error bounds for strict feedback systems,” Automatica, vol. 45, no. 2, pp. 532–538, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  25. S. Tong, S. Sui, and Y. Li, “Fuzzy adaptive output feedback control of MIMO nonlinear systems with partial tracking errors constrained,” IEEE Transactions on Fuzzy Systems, 2014. View at Publisher · View at Google Scholar
  26. J. Wu, W. Chen, and J. Li, “Fuzzy-approximation-based global adaptive control for uncertain strict-feedback systems with a priori known tracking accuracy,” Fuzzy Sets and Systems, vol. 273, pp. 1–25, 2015. View at Publisher · View at Google Scholar · View at MathSciNet
  27. J. Wu, W. Chen, F. Yang, J. Li, and Q. Zhu, “Global adaptive neural control for strict-feedback time-delay systems with predefined output accuracy,” Information Sciences, vol. 301, pp. 27–43, 2015. View at Publisher · View at Google Scholar · View at MathSciNet
  28. J. Wu, J. Li, and W. Chen, “Semi-globally/globally stable adaptive nn backstepping control for uncertain mimo systems with tracking accuracy known a priori,” Journal of the Franklin Institute, vol. 351, no. 12, pp. 5274–5309, 2014. View at Publisher · View at Google Scholar
  29. S.-C. Tong, Y.-M. Li, G. Feng, and T.-S. Li, “Observer-based adaptive fuzzy backstepping dynamic surface control for a class of MIMO nonlinear systems,” IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, vol. 41, no. 4, pp. 1124–1135, 2011. View at Publisher · View at Google Scholar · View at Scopus
  30. Y. Li, S. Tong, and T. Li, “Observer-based adaptive fuzzy tracking control of mimo stochastic nonlinear systems with unknown control direction and unknown dead-zones,” IEEE Transactions on Fuzzy Systems, 2014. View at Publisher · View at Google Scholar
  31. C. Wang and Y. Lin, “Multivariable adaptive backstepping control: a norm estimation approach,” IEEE Transactions on Automatic Control, vol. 57, no. 4, pp. 989–995, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  32. B. Chen, X. Liu, K. Liu, and C. Lin, “Direct adaptive fuzzy control of nonlinear strict-feedback systems,” Automatica, vol. 45, no. 6, pp. 1530–1535, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  33. Q. Zhao and Y. Lin, “Adaptive fuzzy dynamic surface control with prespecified tracking performance for a class of nonlinear systems,” Asian Journal of Control, vol. 13, no. 6, pp. 1082–1091, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus