Skip to main content
Log in

Finite-time Dynamic Surface Fault-tolerant Control for Hypersonic Vehicle with Mismatched Disturbances

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

Abstract

This paper studies the tracking control problem of hypersonic vehicle in the process of external disturbance, parameters uncertainties and actuator faults. Firstly, a non-triangular velocity and altitude nonlinear subsystem with mismatched disturbances and actuator faults are established based on the feedback linearization model. Secondly, adaptive dynamic surface fault-tolerant controllers are designed for velocity and altitude subsystems by combining nonlinear filter, adaptive control and back-stepping method. Finally, the Lyapunov stability theory and numercial simulation are carried out to verify the availability of the proposed control strategy.

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. H. An, B. Fidan, and J. Liu, “Adaptive fault-tolerant control of air-breathing hypersonic vehicles robust to input non-linearities,” International Journal of Control, vol. 92, pp. 1044–1060, 2019.

    Article  MathSciNet  Google Scholar 

  2. Z. T. Dydek, A. M. Annaswamy, and. E. Lavretsky, “Adaptive control and the NASA X-15-3 flight revisited,” Control Systems, IEEE, vol. 30, pp. 32–48, 2010.

    Article  Google Scholar 

  3. S. He, D. Lin, and J. Wang, “Robust terminal angle constraint guidance law with autopilot lag for intercepting maneuvering targets,” Nonlinear Dynamics, vol. 1, no, 81, pp:881–892, 2015.

    Article  Google Scholar 

  4. Q. Wang and R. Stengel, “Robust nonlinear control of a hypersonic aircraft,” Journal of Guidance, Control, and Dynamics, vol. 23, pp. 577–585, 2000.

    Article  Google Scholar 

  5. H. B. Sun, S. H. Li, and C. Y. Sun, “Finite time integral sliding mode control of hypersonic vehicles,” Nonlinear Dynamics, vol. 73, pp. 229–244, 2013.

    Article  MathSciNet  Google Scholar 

  6. O. Rehman, B. Fidan, and I. Petersen, “Robust control system design for an uncertain nonlinear system using minmax LQR design method,” Asian Journal of Control, vol. 16, pp. 1029–1041, 2014.

    Article  MathSciNet  Google Scholar 

  7. O. Rehman, B. Fidan, and I. R. Petersen, “Uncertainty modeling for robust minimaxLQR control of hypersonic flight vehicles,” Proc. of AIAA Guidance, Navigation, and Control Conference and Exhibit, Toronto, Ontario Canada, 2010.

  8. J. T. Parker, A. Serrani, and S. Yurkovich, “Control-oriented modeling of an air-breathing hypersonic vehicle,” Journal ofGuidance, Control, and Dynamics, vol. 30, 856–869, 2007.

    Article  Google Scholar 

  9. 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, pp. 829–838, 2004.

    Article  Google Scholar 

  10. J. G. Sun, S. M. Song, and H. T. Chen, “Fast terminal sliding mode tracking control of hypersonic vehicles based on non-homogeneous disturbance observer,” International Journal of Control, Automation, and System, vol. 15, pp. 2646–2659, 2017.

    Article  Google Scholar 

  11. S. Song, B. Y. Zhang, X. N. Song, and Z. Q. Zhang, “Neuro-fuzzy based adaptive dynamic surface control for fractional-order nonlinear strict-feedback systems with input constraint,” IEEE Transactions on Systems, Man, and Cybernetics, pp. 1–12, 2020.

  12. Y. Zhang, R. Li, and T. Xue, “Exponential sliding mode tracking control via back-stepping approach for a hypersonic vehicle with mismatched uncertainty,” Journal of the Franklin Institute, vol. 353, pp. 2319–2343, 2016.

    Article  MathSciNet  Google Scholar 

  13. J. G. Sun, S. M. Song, and G. Q. Wu, “Tracking control via robust dynamic surface control for hypersonic vehicles with input saturation and mismatched uncertainties,” International Journal ofInnovative Computing, Information and Control, vol. 13, no. 6, pp. 2067–2087, 2017.

    Google Scholar 

  14. B. Xu, X. Y. Huang, and D. W. Wang, “Dynamic surface control of constrained hypersonic flight models with parameter estimation and actuator compensation,” Asian Journal of Control, vol. 16, pp. 162–174, 2014.

    Article  MathSciNet  Google Scholar 

  15. X. W. Bu, X. Y. Wu, and R. Zhang, “Tracking differentiator design for the robust back-stepping control of a flexible air-breathing hypersonic vehicle,” Journal of the Franklin Institute, vol. 352, pp. 1739–1765, 2015.

    Article  MathSciNet  Google Scholar 

  16. H. B. Sun, S. H. Li, and J. Yang, “Non-linear disturbance observer-based back-stepping control for airbreathing hypersonic vehicles with mismatched disturbances,” IET Control Theory & Application, vol. 8, pp. 1852–1865, 2014.

    Article  Google Scholar 

  17. X. W. Bu, X. Y. Wu, and Z. Ma, “Nonsingular direct neural control of air-breathing hypersonic vehicle via back-stepping,” Neurocomputing, vol. 153, pp. 164–173, 2015.

    Article  Google Scholar 

  18. X. W. Bu, X. Y. Wu, and M. Y. Tian, “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 

  19. Y. X. Li, “Finite time command filtered adaptive fault tolerant control for a class of uncertain nonlinear systems,” Automatica, vol. 106, pp. 117–123, 2019.

    Article  MathSciNet  Google Scholar 

  20. S. Song, J. H. Park, B. Y. Zhang, and X. N. Song, “Observer-based adaptive hybrid fuzzy resilient control for fractional-order nonlinear systems with time-varying delays and actuator failures,” IEEE Transactions on Fuzzy Systems, vol. 29, no. 3, pp. 471–485, 2021.

    Article  Google Scholar 

  21. H. Habibi, H. R. Nohooji, and I. Howard, “Backstepping Nussbaum gain dynamic surface control for a class of input and state constrained systems with actuator faults,” Information Sciences, vol. 482, pp. 27–46, 2019.

    Article  MathSciNet  Google Scholar 

  22. R. Y. Zhai, R. U. Qi, and J. R. Zhang, “Compound fault-tolerant attitude control for hypersonic vehicle with reaction control systems in reentry phase,” ISA Transactions, vol. 90, pp. 123–137, 2019.

    Article  Google Scholar 

  23. J. G. Sun, S. M. Song and G. Q. Wu, “Fault-tolerant track control of hypersonic vehicle based on fast terminal sliding mode,” Journal ofSpacecraft and Rockets, pp. 1–13, 2017.

  24. J. G. Sun, S. M. Song, and Li Peng, “Adaptive antisaturation fault-tolerant control of hypersonic vehicle with actuator faults,” Proceedings ofthe Institution of Mechanical Engineers, Part G: Journal ofAerospace Engineering, vol. 233, pp. 2066–2083, 2019.

    Article  Google Scholar 

  25. X. Hu, H. R. Karimi, and L. Wu, “Model predictive control-based non-linear fault tolerant control for air-breathing hypersonic vehicles,” Control Theory & Applications, IET, vol. 8, no. 13, pp. 1147–1153. 2014.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xiao-Qing Liu.

Additional information

The authors would like to acknowledge the financial support provided by the keypoint research and invention program in Hunan Province of China (2018GK2014).

Peng Li received his Ph.D. degree in Control Theory and Application from Harbin Institute of Technology in 2010. He carried out Visiting Scholar research at Wayne State University from 2015 to 2016. He is an associate professor in the School of Information and Engineering at Xiangtan University. His main research interests include robot guidance and location, formation control.

Peng Huang received his B.S. degree in automation from Tianjin University of Technology, Tianjin, China, in 2019. He is a postgraduate student in control science and engineering of Xiangtan University, Xiangtan, China. His current research interests are simultaneous localization and mapping and multi-agent navigation.

Chen-Yu He received his B.S. degree in automation from Hunan Institute of Technology, Xiangtan, China, in 2018. He is a postgraduate student in control theory and control engineering of Xiangtan University, Xiangtan, China. His current research interests are path optimization and multiagent navigation.

Xiao-Qing Liu received her B.S. degree in automation from Harbin University of Science and Technology, Harbin, China, in 2005, and her M.S. degree in control theory and control engineering from Harbin Engineering University, Harbin, China, in 2008. She is a Ph.D. student in the Department of Precision Instrument of Tsinghua University. Her current research interests are iterative learning control and integrated navigation.

Publisher’s Note

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

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, P., Huang, P., He, CY. et al. Finite-time Dynamic Surface Fault-tolerant Control for Hypersonic Vehicle with Mismatched Disturbances. Int. J. Control Autom. Syst. 19, 2309–2322 (2021). https://doi.org/10.1007/s12555-020-0169-3

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12555-020-0169-3

Keywords

Navigation