Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2015, Article ID 237453, 16 pages
http://dx.doi.org/10.1155/2015/237453
Research Article

Nonlinear Constrained Adaptive Backstepping Tracking Control for a Hypersonic Vehicle with Uncertainty

1State Key Laboratory of Metastable Materials Science and Technology, School of Mechanics, Yanshan University, Qinhuangdao, Hebei 066004, China
2School of Science, Yanshan University, Qinhuangdao, Hebei 066004, China
3School of Electric Engineering and Automation, Tianjin University, Tianjin 300072, China

Received 21 May 2015; Accepted 14 September 2015

Academic Editor: Yang Tang

Copyright © 2015 Qin Zou 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. K. P. Groves, A. Serrani, S. Yurkovich et al., “Anti-windup control for an air-breathing hypersonic vehicle model,” in Proceedings of the AIAA Guidance, Navigation, and Control Conference and Exhibit, Paper No. AIAA 2006-6557, American Institute of Aeronautics and Astronautics, Keystone, Colo, USA, August 2006.
  2. M. Bolender and D. Doman, “A non-linear model for the longitudinal dynamics of a hypersonic air-breathing vehicle,” in Proceedings of the AIAA Guidance, Navigation and Control Conference and Exhibit, Paper no. AIAA-2006-6557, American Institute of Aeronautics and Astronautics (AIAA), San Francisco, Calif, USA, August 2005.
  3. T. A. Adami and J. J. Zhu, “Control of a flexible, hypersonic scramjet vehicle using a differential algebraic approach,” in Proceedings of the AIAA Guidance, Navigation and Control Conference and Exhibit, paper no. AIAA-2008-7464, American Institute of Aeronautics and Astronautics, Reston, Honolulu, Hawaii, USA, August 2008. View at Scopus
  4. J. T. Parker, A. Serrani, S. Yurkovich, M. A. Bolender, and D. B. Doman, “Approximate feedback linearization of an air-breathing hypersonic vehicle,” in Proceedings of the of AIAA Guidance, Navigation, and Control Conference and Exhibit, Paper no. AIAA-2006-6556, pp. 1–16, American Institute of Aeronautics and Astronautics (AIAA), Keystone, Colo, USA, August 2006.
  5. J. M. Levin, P. Ioannou, and M. Mirmirani, “Adaptive mode suppression scheme for an aeroelastic airbreathing hypersonic cruise vehicle,” in Proceedings of AIAA Guidance, Navigation, and Control Conference and Exhibit, Honolulu, Hawaii, 18–21 August 2008, Paper no. AIAA-2008-7464, American Institute of Aeronautics and Astronautics (AIAA), Reston, Va, USA, 2008. View at Google Scholar
  6. X. X. Hu, L. G. Wu, C. H. Hu, and H. Gao, “Adaptive sliding mode tracking control for a flexible air-breathing hypersonic vehicle,” Journal of the Franklin Institute, vol. 349, no. 2, pp. 559–577, 2012. View at Publisher · View at Google Scholar
  7. H. F. Sun, Z. L. Yang, and J. P. Zeng, “New tracking-control strategy for airbreathing hypersonic vehicles,” Journal of Guidance, Control, and Dynamics, vol. 36, no. 3, pp. 846–859, 2013. View at Publisher · View at Google Scholar · View at Scopus
  8. O. Rehman, B. Fidan, and I. R. Petersen, “Uncertainty modeling and robust minimax LQR control of hypersonic flight vehicles,” in Proceedings of the AIAA Guidance, Navigation, and Control Conference, Paper no. AIAA 2010-8285, American Institute of Aeronautics and Astronautics (AIAA), Toronto, Canada, August 2010.
  9. X. X. Hu, H. J. Gao, H. R. Karimi, L. Wu, and C. Hu, “Fuzzy reliable tracking control for flexible air-breathing hypersonic vehicles,” International Journal of Fuzzy Systems, vol. 13, no. 4, pp. 323–334, 2011. View at Google Scholar · View at Scopus
  10. X. X. Hu, L. G. Wu, C. H. Hu, and H. Gao, “Adaptive fuzzy integral sliding mode control for flexible air-breathing hypersonic vehicles subject to input nonlinearity,” Journal of Aerospace Engineering, vol. 26, no. 4, pp. 721–734, 2013. View at Publisher · View at Google Scholar · View at Scopus
  11. Q. Zong, F. Wang, R. Su, and S. K. Shao, “Robust adaptive backstepping tracking control for a flexible air-breathing hypersonic vehicle subject to input constraint,” Proceedings of the Institution of Mechanical Engineers Part G: Journal of Aerospace Engineering, vol. 229, no. 1, pp. 10–25, 2015. View at Publisher · View at Google Scholar · View at Scopus
  12. Y. Lei, C. Y. Cao, E. Cliff, N. Hovakimyan, A. Kurdila, and K. Wise, “L1 adaptive controller for air-breathing hypersonic vehicle with flexible body dynamics,” in Proceedings of the American Control Conference (ACC '09), pp. 3166–3171, IEEE, St. Louis, Mo, USA, June 2009. View at Publisher · View at Google Scholar · View at Scopus
  13. 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. 402–417, 2009. View at Publisher · View at Google Scholar · View at Scopus
  14. Q. Zong, F. Wang, B. L. Tian, and J. Wang, “Robust adaptive approximate backstepping control design for a flexible air-breathing hypersonic vehicle,” Journal of Aerospace Engineering, vol. 28, no. 4, Article ID 04014107, 2015. View at Publisher · View at Google Scholar
  15. W. C. Sun, H. J. Gao, and O. Kaynak, “Adaptive backstepping control for active suspension systems with hard constraints,” IEEE/ASME Transactions on Mechatronics, vol. 18, no. 3, pp. 1072–1079, 2013. View at Publisher · View at Google Scholar · View at Scopus
  16. W. Sun, Z. L. Zhao, and H. J. Gao, “Saturated adaptive robust control for active suspension systems,” IEEE Transactions on Industrial Electronics, vol. 60, no. 9, pp. 3889–3896, 2013. View at Publisher · View at Google Scholar
  17. W. C. Sun, Y. Zhao, J. Li, L. Zhang, and H. Gao, “Active suspension control with frequency band constraints and actuator input delay,” IEEE Transactions on Industrial Electronics, vol. 59, no. 1, pp. 530–537, 2012. View at Publisher · View at Google Scholar · View at Scopus
  18. A. Zinnecker, A. Serrani, M. A. Bolender, and D. B. Doman, “Combined reference governor and anti-windup design for constrained hypersonic vehicles models,” in Proceedings of the AIAA Guidance, Navigation, and Control Conference and Exhibit, paper no. AIAA-2009-6283, American Institute of Aeronautics and Astronautics, Reston, Chicago, Ill, USA, August 2009. View at Scopus
  19. S. S. Vaddi and P. Sengupta, “Controller design for hypersonic vehicles accommodating nonlinear state and control constraints,” in Proceedings of the AIAA Guidance, Navigation and Control Conference, Paper no. AIAA-2009-6286, American Institute of Aeronautics and Astronautics (AIAA), Chicago, Ill, USA, August 2009.
  20. Y. Gao, “Linear feedback guidance for low-thrust many-revolution earth-orbit transfers,” Journal of Spacecraft and Rockets, vol. 46, no. 6, pp. 1320–1325, 2009. View at Publisher · View at Google Scholar · View at Scopus
  21. G. Gao and J. Z. Wang, “Reference command tracking control for an air-breathing hypersonic vehicle with parametric uncertainties,” Journal of the Franklin Institute, vol. 350, no. 5, pp. 1155–1188, 2013. View at Publisher · View at Google Scholar · View at Scopus
  22. Y.-B. Liu, D.-B. Xiao, and Y.-P. Lu, “Research on advanced fight control methods based on actuator constraints for elastic model of hypersonic vehicle,” Proceedings of the Institution of Mechanical Engineers Part G: Journal of Aerospace Engineering, 2013. View at Publisher · View at Google Scholar
  23. H. B. Sun, S. H. Li, and C. Y. Sun, “Adaptive fault-tolerant controller design for airbreathing hypersonic vehicle with input saturation,” Journal of Systems Engineering and Electronics, vol. 24, no. 3, pp. 488–499, 2013. View at Publisher · View at Google Scholar
  24. F. Wang, C. C. Hua, and Q. Zong, “Attitude control of reusable launch vehicle in reentry phase with input constraint via robust adaptive backstepping control,” International Journal of Adaptive Control and Signal Processing, vol. 29, no. 10, pp. 1308–1327, 2015. View at Publisher · View at Google Scholar
  25. W. A. Butt, L. Yan, and A. S. Kendrick, “Adaptive dynamic surface control of a hypersonic flight vehicle with magnitude, rate and bandwidth constraints,” in Proceedings of the 18th IFAC World Congress, pp. 5341–5346, Milano, Italy, September 2011. View at Publisher · View at Google Scholar · View at Scopus
  26. W. A. Butt, L. Yan, and S. K. Amezquita, “Adaptive integral dynamic surface control of a hypersonic flight vehicle,” International Journal of Systems Science, vol. 46, no. 10, pp. 1717–1728, 2015. View at Publisher · View at Google Scholar · View at Scopus
  27. B. Xu, X. Y. Huang, D. W. Wang, and F. Sun, “Dynamic surface control of constrained hypersonic flight models with parameter estimation and actuator compensation,” Asian Journal of Control, vol. 16, no. 1, pp. 162–174, 2014. View at Publisher · View at Google Scholar · View at Scopus
  28. A. B. Waseem, Y. Lin, and S. K. Amezquita, “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
  29. Y.-L. Zhou and M. Chen, “Sliding mode control for NSVs with input constraint using neural network and disturbance observer,” Mathematical Problems in Engineering, vol. 2013, Article ID 904830, 12 pages, 2013. View at Publisher · View at Google Scholar · View at Scopus
  30. Q. Zong, F. Wang, B. Tian, and R. Su, “Robust adaptive dynamic surface control design for a flexible air-breathing hypersonic vehicle with input constraints and uncertainty,” Nonlinear Dynamics, vol. 78, no. 1, pp. 289–315, 2014. View at Publisher · View at Google Scholar · View at Scopus
  31. T. Williams, M. A. Bolender, D. B. Doman, and O. Morataya, “An aerothermal flexible mode analysis of a hypersonic vehicle,” in Proceedings of the AIAA Atmospheric Flight Mechanics Conference and Exhibit, Paper no. AIAA-2009-6286, American Institute of Aeronautics and Astronautics (AIAA), Chicago, Ill, USA, August 2009.
  32. M. A. Bolender, “An overview on dynamics and controls modelling of hypersonic vehicles,” in Proceedings of the American Control Conference (ACC '09), pp. 2507–2512, IEEE, St. Louis, Mo, USA, June 2009. View at Publisher · View at Google Scholar · View at Scopus
  33. M. A. Bolender and D. B. Doman, “Flight path angle dynamics of an air-breathing hypersonic vehicle,” in Proceedings of the AIAA Guidance, Navigation, Control Conference and Exhibit, AIAA-2006-6692, Keystone, Colo, USA, 2006.
  34. M. Chen, S. S. Ge, and B. Ren, “Adaptive tracking control of uncertain MIMO nonlinear systems with input constraints,” Automatica, vol. 47, no. 3, pp. 452–465, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  35. M. M. Polycarpou and P. A. Ioannou, “A robust adaptive nonlinear control design,” Automatica, vol. 32, no. 3, pp. 423–427, 1996. View at Publisher · View at Google Scholar · View at Scopus
  36. 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, Paper no. AIAA 2009-6282, Chicago, Ill, USA, August 2009.