Skip to main content
Log in

Adaptive Anti-saturation Tracking Control with Prescribed Performance for Hypersonic Vehicle

  • Regular Papers
  • Control Theory and Applications
  • Published:
International Journal of Control, Automation and Systems Aims and scope Submit manuscript

Abstract

For the hypersonic vehicle with external disturbance, input saturation, model parameter uncertainties and prescribed performance constraint, the tracking control strategy is studied in the thesis. Firstly, a prescribed performance function is introduced into the control design by transforming auxiliary variable errors, which guarantees tracking performance of the control system. On the basis of second-order system model of hypersonic vehicle, an adaptive anti-saturation terminal sliding mode (TSM) controller with prescribed performance is presented by using the adaptive control theory and TSM control. The stability theory of the control law is presented by Lyapunov stability theory and the numerical simulations are conducted to indicate the effectiveness of the proposed control scheme.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. B. Xu and Z. K. Shi, “An overview on flight dynamics and control approaches for hypersonic vehicle,” Science China Information Sciences, vol. 58, no. 7, pp. 1–19, 2015.

    MathSciNet  Google Scholar 

  2. C. Y. Sun, C. X. Mu, and Y. Yao, “Some control problems for near space hypersonic vehicle,” Acta Automatica Sinica, vol. 39, no. 11, pp. 1901–1913, 2013.

    Article  Google Scholar 

  3. H. Buschek and A. Calise, “Uncertainty modeling and fixed-order controller design for a hypersonic vehicle model,” Journal of Guidance, Control, and Dynamics, vol. 20, no. 1, pp. 42–48, 1997.

    Article  Google Scholar 

  4. D. O. Sigthorsson and A. Serrani, “Development of linear parameter-varying models of hypersonic air-breathing vehicle,” Proceedings of the AIAA Guidance, Navigation, and Control Conference and Exhibit, pp. 2009–6282, 2009.

    Google Scholar 

  5. X. F. Su, Y. M. Jia, and J. Zhang, “Modeling and inputoutput decoupling of hypersonic vehicles,” International Journal of Control, Automation, and Systems, vol. 13, no. 1, pp. 156–166, 2015.

    Article  Google Scholar 

  6. H. B. Sun, S. H. Li, and C. Y. Sun, “Finite time integral sliding mode control of hypersonic vehicle,” Nonlinear Dynamics, vol. 73, no. 2, pp. 229–244, 2013.

    Article  MathSciNet  MATH  Google Scholar 

  7. J. Guo, G. Wang, and Z. Guo, “New adaptive sliding mode control for a generic hypersonic vehicle,” Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, vol. 232, no. 7, pp. 1295–1303, 2018.

    Article  Google Scholar 

  8. Z. Liu, X. M. Tan, and R. Y. Yuan, “Adaptive trajectory tracking control system design for hypersonic vehicles with parametric uncertainty,” Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, vol. 229, no. 1, pp. 119–134, 2015.

    Article  Google Scholar 

  9. C. Y. Mu, C. Y. Sun, and W. Xu, “Fast sliding mode control on air-breathing hypersonic vehicle with transient response analysis,” Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, vol. 230, no. 1, pp. 23–34, 2016.

    Google Scholar 

  10. R. M. Zhang, C. Y. Sun, J. M. Zhang, and Y. J. Zhou, “Second-order terminal sliding mode control for hypersonic vehicle in cruising flight with sliding mode disturbance observer,” Journal of Control Theory and Applications, vol. 11, no. 2, pp. 299–305, 2013.

    Article  Google Scholar 

  11. J. G. Sun, S.-M. Song, H. T. Chen, and G.-Q. Wu, “Fast TSM tracking control of hypersonic vehicle based on nonhomogeneous disturbance observer,” International Journal of Control, Automation, and Systems, vol. 15, no. 6, pp. 2646–2659, 2017.

    Article  Google Scholar 

  12. Q. Zong, J. Wang, and Y. Tao, “Adaptive highorder dynamic sliding mode control for a flexible airbreathing hypersonic vehicle,” International Journal of Robust and Nonlinear Control, vol. 23, no. 15, pp. 1718–1736, 2013.

    MathSciNet  MATH  Google Scholar 

  13. Y.W, Liu and Y. Zhou, “Prescribed performance finite-time tracking control for uncertain nonlinear systems,” Journal of Systems Science & Complexity, vol. 32, no. 3, pp. 803–817, 2019.

    Article  MathSciNet  MATH  Google Scholar 

  14. J. Y. Ying, Y. H. Wang, and X. H. Zhang, “Damagemitigating control of hypersonic flight vehicle based on prescribed performance,” International Journal of Damage Mechanics, vol. 28, no. 5, pp. 794–811, 2019.

    Article  Google Scholar 

  15. Z. H. Wu, J. C. Lu, and J. P. Shi, “Tracking error constrained robust adaptive neural prescribed performance control for flexible hypersonic flight vehicle,” International Journal of Advanced Robotic Systems, vol. 14, no. 1, pp. 1–16, 2017.

    Google Scholar 

  16. M. Chen, G. Tao, and B. Jiang, “Dynamic surface control using neural networks for a class of uncertain nonlinear systems with input saturation,” IEEE Transactions on Neural Networks and Learning Systems, vol. 26, no. 9, pp. 2086–2097, 2015.

    Article  MathSciNet  Google Scholar 

  17. Y. Guo, B. Huang, and S. Wang, “Adaptive finite-time control for attitude tracking of spacecraft under input saturation,” Journal of Aerospace Engineering, vol. 31, no. 2, 2017.

    Google Scholar 

  18. F. Wang, Q. Zou, and Q. Zong, “Robust adaptive backstepping control for an uncertain nonlinear system with input constraint based on Lyapunov redesign,” International Journal of Control, Automation, and Systems, vol. 15, no. 1, pp. 212–225, 2017.

    Article  Google Scholar 

  19. Q. Zong, F. Wang, and R. Su, “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.

    Article  Google Scholar 

  20. J. G. Sun, S. M. Song, and H. T. Chen, “Finite-time tracking control of hypersonic aircrafts with input saturation,” Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, vol. 232, no. 7, pp. 1373–1389, 2018.

    Article  Google Scholar 

  21. J. G. Sun, S. L. Xu, S. M. Song, and X. J. Dong, “Finite time tracking control of hypersonic vehicle with input saturation,” Aerospace Science and Technology, vol. 71, pp. 272–284. 2017.

    Article  Google Scholar 

  22. M. Chen, B. B. Ren, and Q. X. Wu, “Anti-disturbance control of hypersonic flight vehicle with input saturation using disturbance observer,” Science China Information Sciences, vol. 58, no. 7, pp. 1–12. 2015.

    MathSciNet  Google Scholar 

  23. X. W. Bu and X. Y. Wu, “High-order tracking differentiator based adaptive neural control of a flexible air-breathing hypersonic vehicle subject to actuators constraints,” ISA transactions, vol. 58, pp. 237–247. 2015.

    Article  Google Scholar 

  24. M. Z. Gao, G. P. Cai, “Finite-time H-infinity adaptive faulttolerant control for wing flutter of reentry vehicle subject to input saturation,” International Journal of Control, Automation, and Systems, vol. 15, no. 1, pp. 362–374, 2017.

    Article  Google Scholar 

  25. C. P. Bechlioulis and G. A. Rovithakis, “Reinforcing robustness of adaptive dynamic surface control,” International Journal of Adaptive Control and Signal Processing, vol. 27, no. 4, pp. 323–339. 2013.

    Article  MathSciNet  MATH  Google Scholar 

  26. C. P. Bechlioulis and G. C. Karras, “Trajectory tracking with prescribed performance for underactuated underwater vehicle under model uncertainties and external disturbances,” IEEE Transactions on Control Systems Technology, vol. 25, no. 2, pp. 429–440, 2017.

    Article  Google Scholar 

  27. Y. M. Li and S. C. Tong, “Adaptive fuzzy control with prescribed performance for block-triangular-structured nonlinear systems,” IEEE Transactions on Fuzzy Systems, vol. 26, no. 3, pp. 1153–1163, 2017.

    Article  Google Scholar 

  28. Y. M. Li and S. C. Tong, “Adaptive neural networks prescribed performance control design for switched interconnected uncertain nonlinear systems,” IEEE Transactions on Neural Networks and Learning Systems, vol. 29, no. 7, pp. 3059–3068, 2017.

    MathSciNet  Google Scholar 

  29. Q. L. Hu, Y. Meng, and C. L. Wang, “Adaptive backstepping control for air-breathing hypersonic vehicle with input nonlinearities,” Aerospace Science and Technology, vol. 67, 2017.

  30. Z. Wu, J. Lu, and Q. Zhou, “Modified adaptive neural dynamic surface control for morphing aircraft with input and output constraints,” Nonlinear Dynamics, vol. 87, no. 4, pp. 2367–2383, 2017.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Li-Guo Tan.

Additional information

Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Recommended by Associate Editor Jiuxiang Dong under the direction of Editor Guang-Hong Yan. This work was supported by the National Natural Science Foundation of China under Grant 61703126, the Research projects of Shenzhen Institute of Information Technology under Grant ZY201714.

Bao-Wen Chen received his Ph.D. degree in Control Theory and Application from Harbin Institute of Technology in 2009. He is currently an associate professor of Computer Science and Technology at Shenzhen Institute of Information Technology. His main research interests include spacecraft guidance and control, intelligent control, and artificial intelligence.

Li-Guo Tan received his Ph.D. degree in Aircraft Navigation and Control from Bauman Moscow State Technical University in 2016. He is currently an assistant researcher of Research Center of Basic Space Science at HarbinInstitute of Technology. His main research interests include UAV control, navigation and guidance, path planning, and multi-sensor information fusion.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chen, BW., Tan, LG. Adaptive Anti-saturation Tracking Control with Prescribed Performance for Hypersonic Vehicle. Int. J. Control Autom. Syst. 18, 394–404 (2020). https://doi.org/10.1007/s12555-019-0007-7

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12555-019-0007-7

Key words

Navigation