Skip to main content
SpringerLink
Log in

Global finite-time attitude regulation using bounded feedback for a rigid spacecraft

  • Published:
Control Theory and Technology Aims and scope Submit manuscript

Abstract

This paper investigates the problem of global attitude regulation control for a rigid spacecraft under input saturation. Based on the technique of finite-time control and the switching control method, a novel global bounded finite-time attitude regulation controller is proposed. Under the proposed controller, it is shown that the spacecraft attitude can reach the desired attitude in a finite time. In addition, the bound of a proposed attitude controller can be adjusted to any small level to accommodate the actuation bound in practical implementation.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M. D. Shuster. A survey of attitude representations. Journal of the Astronautical Sciences, 1993, 41(4): 439–517.

    MathSciNet  Google Scholar 

  2. P. C. Hughes. Spacecraft Attitude Dynamics. New York: Wiley, 1986.

  3. S. Liu, Z. Geng, J. Sun. Finite-time attitude control: a finite-time passivity approach. IEEE/CAA Journal of Automatica Sinica, 2015, 2(1): 102–108.

    Article  MathSciNet  Google Scholar 

  4. J. Zhang, C. Sun, R. Zhang, et al. Adaptive sliding mode control for re-entry attitude of near space hypersonic vehicle based on backstepping design. IEEE/CAA Journal of Automatica Sinica, 2015, 2(1): 94–101.

    Article  MathSciNet  Google Scholar 

  5. Y. Xia, N. Zhou, K. Lu, et al. Attitude control of multiple rigid bodies with uncertainties and disturbances. IEEE/CAA Journal of Automatica Sinica, 2015, 2(1): 2–10.

    Article  MathSciNet  Google Scholar 

  6. H. Gui, G. Vukovich, S. Xu. Attitude tracking of a rigid spacecraft using two internal torques. IEEE Transactions on Aerospace and Electronic Systems, 2015, 51(4): 2900–2913.

    Article  Google Scholar 

  7. P. Tsiotras. Stabilization and optimality results for the attitude control problem. Journal of Guidance, Control and Dynamics, 1996, 19(4): 772–779.

    Article  MATH  Google Scholar 

  8. G. Xing, S. A. Parvez. Nonlinear attitude state tracking control for spacecraft. Journal of Guidance, Control and Dynamics, 2001, 24(3): 624–626.

    Article  Google Scholar 

  9. Y. Xia, Z. Zhu, M. Fu, et al. Attitude tracking of rigid spacecraft with bounded disturbances. IEEE Transactions on Industrial Electronics, 2011, 58(2): 647–659.

    Article  Google Scholar 

  10. B. T. Costic, D. M. Dawson, M. S. de Queiroz, et al. Quaternionbased adaptive attitude tracking controller without velocity measurements. Journal of Guidance, Control, and Dynamics, 2001, 24(6): 1214–1222.

    Article  Google Scholar 

  11. Z. Chen, J. Huang. Attitude tracking and disturbance rejection of rigid spacecraft by adaptive control. IEEE Transaction on Automatic Control, 2009, 54(3): 600–605.

    Article  MathSciNet  MATH  Google Scholar 

  12. L. L. Show, J. C. Juang, Y. W. Jan. An LMI-based nonlinear attitude control approach. IEEE Transactions on Control Systems Technology, 2003, 11(1): 73–83.

    Article  Google Scholar 

  13. C. Cheng, S. Shu. Application of fuzzy controllers for spacecraft attitude control. IEEE Transactions on Aerospace and Electronic Systems, 2009, 45(2): 761–765.

    Article  Google Scholar 

  14. C. G. Mayhew, R. G. Sanfelice, A. R. Teel. Robust global asymptotic attitude stabilization of a rigid body by quaternionbased hybrid feedback. Proceedings of Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, Shanghai: IEEE, 2009: 2522–2527.

    Google Scholar 

  15. S. P. Bhat, D. S. Bernstein. Finite-time stability of continuous autonomous systems. SIAM Journal on Control and Optimization, 2000, 38(3): 751–766.

    Article  MathSciNet  MATH  Google Scholar 

  16. S. Li, S. Ding, Q. Li. Global set stabilisation of the spacecraft attitude using finite-time control technique. International Journal of Control, 2009, 82(5): 822–836.

    Article  MathSciNet  MATH  Google Scholar 

  17. H. Du, S. Li, C. Qian. Finite-time attitude tracking control of spacecraft with application to attitude synchronization. IEEE Transaction on Automatic Control, 2011, 56(11): 2711–2717.

    Article  MathSciNet  MATH  Google Scholar 

  18. S. Li, H. Liu, S. Ding. A speed control for a PMSM using finite-time feedback control and disturbance compensation. Transactions of the Institute of Measurement and Control, 2010, 32(2): 170–187.

    Article  Google Scholar 

  19. S. Ding, S. Li, Q. Li. Stability analysis for a second-order continuous finite-time control system subject to a disturbance. Journal of Control Theory and Applications, 2009, 7(3): 271–276.

    Article  MathSciNet  Google Scholar 

  20. Y. Shen. Finite-time control of linear parameter-varying systems with norm-bounded exogenous disturbance. Journal of Control Theory and Applications, 2008, 6(2): 184–188.

    Article  MathSciNet  Google Scholar 

  21. Q. Hu, B. Li, A. Zhang, et al. Finite-time attitude maneuver control of spacecraft under controlsaturation and misalignment. Control Theory & Applications, 2013, 30(4): 417–424 (in Chinese).

    Google Scholar 

  22. H. Zhang, C. Wang, H. Chen. Finite-time saturated stabilization for a class of nonlinear systemswith dynamic feedback. Control Theory & Applications, 2013, 30(3): 355–359 (in Chinese).

    MATH  Google Scholar 

  23. B. Jiang, Q. Hu, M. I. Friswell. Fixed-Time attitude control for rigid spacecraft with actuator saturation and faults. IEEE Transactions on Control Systems Technology, 2016, 24(5): 1892–1898.

    Article  Google Scholar 

  24. Z. Sun, S. Li, X. Zhang. Direct torque control of induction motor based on extended state observer and finite time control scheme. Control Theory & Applications, 2014, 31(6): 748–756.

    Google Scholar 

  25. S. Ding, S. Li. Stabilization of the attitude of a rigid spacecraft with external disturbances using finite-time control techniques. Aerospace Science and Technology, 2009, 13(4): 256–265.

    Article  Google Scholar 

  26. Z. Zhu, Y. Xia, M. Fu. Attitude stabilization of rigid spacecraft with finite-time convergence. International Journal of Robust and Nonlinear Control, 2011, 21(6): 686–702.

    Article  MathSciNet  MATH  Google Scholar 

  27. Y. Hong, Y. Xu, J. Huang. Finite-time control for robot manipulators. Systems & Control Letters, 2002, 46(4): 185–200.

    MathSciNet  MATH  Google Scholar 

  28. S. P. Bhat, D. S. Bernstein. Finite-time stability of homogeneous systems. Proceedings of the American Control Conference, Albuquerque, New Mexico: IEEE, 1997: 2513–2514.

    Google Scholar 

  29. Y. Hong, J. Huang, Y. Xu. On an output feedback finite-time stabilization problem. IEEE Transaction on Automatic Control, 2001, 46(2): 305–309.

    Article  MathSciNet  MATH  Google Scholar 

  30. S. Yu, X. Yu, B. Shirinzadeh, et al. Continuous finite-time control for robotic manipulators with terminal sliding mode. Automatica, 2005, 41(11): 1957–1964.

    Article  MathSciNet  MATH  Google Scholar 

  31. C. Qian, W. Lin. A continuous feedback approach to global strong stabilization of nonlinear systems. IEEE Transactions on Automatic Control, 2001, 46(7): 1061–1079.

    Article  MathSciNet  MATH  Google Scholar 

  32. G. Hardy, J. Littlewood, G. Polya. Inequalities. Cambridge: Cambridge University Press, 1952.

    MATH  Google Scholar 

  33. J. J. E. Slotine, M. D. D. Benedetto. Hamiltonian adaptive control of spacecraft. IEEE Transaction on Automatic Control, 1990, 35(7): 848–852.

    Article  MathSciNet  MATH  Google Scholar 

  34. H. Khalil. Nonlinear Systems. 3rd ed. Upper Saddle River: Prentice Hall, 2002: 303–334.

    Google Scholar 

  35. S. Ding, S. Li, Q. Li. Disturbance analysis for continuous finitetime control systems. Journal of Control Theory and Applications, 2009, 7(3): 271–276.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Anhui Vocational College of Press and Publishing, Hefei Anhui, 230601, China

    Yusong Zhou

  2. School of Electrical Engineering and Automation, Hefei University of Technology, Hefei Anhui, 230009, China

    Yusong Zhou, Wenwu Zhu & Haibo Du

Authors
  1. Yusong Zhou
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Wenwu Zhu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Haibo Du
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Haibo Du.

Additional information

This work was supported by the National Natural Science Foundation of China (Nos. 61304007, 61673153), the Ph.D. Programs Foundation of Ministry of Education of China (No. 20130111120007) and the China Postdoctoral Science Foundation Funded Project (Nos. 2012M521217, 2014T70584).

Yusong ZHOU was born in Dingyuan, Anhui, in 1972. He received his B.Sc. degree from Beijing Institute Of Graphic Communication, Bejing, China, in 1996 and the M.Sc. degree from Hefei University of Technology, Hefei, China, in 2010. From July 2015 to August 2015, he was a visiting researcher at Hefei University of Technology. He is currently an Associate Professor in Anhui Vocational College of Press and Publishing. His research interests include electrical automation, control theory and applications.

Wenwu ZHU was born in Suzhou, Anhui, in 1993. He received his B.Sc. degree in Automatic Control from HeFei University of Technology, Hefei, China, in 2015. He is currently pursuing the M.Sc. degree in the School of Electrical Engineering and Automation, Hefei University Of Technology, Anhui, China. His research interests include nonlinear control, and spacecraft attitude control.

Haibo DU was born in Tongcheng, Anhui, in 1982. He received his B.Sc. degree in Mathematics from Anhui Normal University, China, in 2004, and the Ph.D. degree in Automatic Control from Southeast University, China, in 2012. He is currently an Associate Professor in the School of Electrical Engineering and Automation, Hefei University of Technology. His research interests include nonlinear system control, cooperative control of distributed multi-agent systems and spacecraft attitude control.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhou, Y., Zhu, W. & Du, H. Global finite-time attitude regulation using bounded feedback for a rigid spacecraft. Control Theory Technol. 15, 26–33 (2017). https://doi.org/10.1007/s11768-017-6057-6

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11768-017-6057-6

Keywords

Search

Navigation