Skip to main content
Log in

A direct parametric approach to spacecraft attitude tracking control

  • Research Article
  • Published:
International Journal of Automation and Computing Aims and scope Submit manuscript

Abstract

Through the direct parameter approach, a solution for spacecraft attitude tracking is presented. First of all, the spacecraft attitude tracking control model is built up by the error equation of the second-order nonlinear quaternion-based attitude system. Based on the control model, a suitable controller is designed by the direct parameter approach. Compared with other control strategies, the direct parameter approach can offer all degrees of freedom for the controller to satisfy the requirements for system properties and turn the original nonlinear system into closed-loop linear system. Furthermore, this paper optimizes the controller according to the robustness, limitation of controller output and closed-loop eigenvalue sensitivity. Putting the controller into the original system, the state response of the closed-loop system and the output of controller are plotted in Matlab to verify the availability and robustness of the controller. Therefore, the controlled spacecraft can achieve the goal of tracking on the mobile target with the external disturbance torque.

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. G. R. Duan. Quaternion-based satellite attitude control-A direct parametric approach. In Proceedings of the 14th International Conference on Control, Automation and Systems, IEEE, Seoul, Korea, pp. 935–941, 2014.

    Google Scholar 

  2. G. R. Duan. Satellite attitude control-A direct parametric approach. In Proceedings of the 11th World Congress on Intelligent Control and Automation, IEEE, Shenyang, China, pp. 3989–3996, 2014.

    Google Scholar 

  3. C. Y. Gao, Q. Zhao, G. R. Duan. Robust actuator fault diagnosis scheme for satellite attitude control systems. Journal of the Franklin Institute, vol. 350, no. 9, pp. 2560–2580, 2013.

    Article  MathSciNet  MATH  Google Scholar 

  4. A. G. Parlos, J. W. Sunkel. Adaptive attitude control and momentum management for large-angle spacecraft maneuvers. Journal of Guidance, Control and Dynamics, vol. 15, no. 4, pp. 1018–1028, 1992.

    Article  MATH  Google Scholar 

  5. H. Bang, C. K. Ha, J. Hyoung Kim. Flexible spacecraft attitude maneuver by application of sliding mode control. Acta Astronautica, vol. 57, no. 11, pp. 841–850, 2005.

    Article  Google Scholar 

  6. S. N. Singh, R. Zhang. Adaptive output feedback control of spacecraft with flexible appendages by modeling error compensation. Acta Astronautica, vol. 54, no. 4, pp. 229–243, 2004.

    Article  Google Scholar 

  7. A. Tayebi. Unit quaternion-based output feedback for the attitude tracking problem. IEEE Transactions on Automatic Control, vol. 53, no. 6, pp. 1516–1520, 2008.

    Article  MathSciNet  MATH  Google Scholar 

  8. D. Bustan, S. K. H. Sani, N. Pariz. Adaptive faulttolerant spacecraft attitude control design with transient response control. IEEE/ASME Transactions on Mechatronics, vol. 19, no. 4, pp. 1404–1411, 2014.

    Article  Google Scholar 

  9. R. Kristiansen, P. J. Nicklasson. Satellite attitude control by quaternion-based backstepping. In Proceedings of American Control Conference, IEEE, Portland, USA, vol. 2, pp. 907–912, 2005.

    Google Scholar 

  10. D. Doody. Spacecraft attitude control. Deep Space Craft, D. Doody, Ed., Berlin Heidelberg, Germany: Springer, pp. 87–118, 2009.

    Chapter  Google Scholar 

  11. A. Grewal, V. J. Modi. Robust attitude and vibration control of the space station. Acta Astronautica, vol. 38, no. 3, pp. 139–160, 1996.

    Article  Google Scholar 

  12. K. F. Lu, Y. Q. Xia. Adaptive attitude tracking control for rigid spacecraft with finite-time convergence. Automatica, vol. 49, no. 12, pp. 3591–3599, 2013.

    Article  MathSciNet  MATH  Google Scholar 

  13. A. L. Herman, B. A. Conway. Optimal spacecraft attitude control using collocation and nonlinear programming. Journal of Guidance, Control and Dynamics, vol. 15, no. 5, pp. 1287–1289, 1992.

    Article  Google Scholar 

  14. B. Wie, K. W. Byun, V. W. Warren, D. Geller, D. Long, J. Sunkel. New approach to attitude/momentum control for the Space Station. Journal of Guidance, Control and Dynamics, vol. 12, no. 5, pp. 714–722, 1989.

    Article  MATH  Google Scholar 

  15. J. D. Schierman, D. G. Ward, J. R. Hull, N. Gandhi, M. Oppenheimer, D. B. Doman. Integrated adaptive guidance and control for re-entry vehicles with flight test results. Journal of Guidance, Control and Dynamics, vol. 27, no. 6, pp. 975–988, 2004.

    Article  Google Scholar 

  16. H. J. Shen, P. Tsiotras. Optimal two-impulse rendezvous using multiple-revolution lambert solutions. Journal of Guidance, Control and Dynamics, vol. 26, no. 1, pp. 50–61, 2003.

    Article  Google Scholar 

  17. F. Zhang, G. R. Duan. Optimal integrated relative position and attitude control of spacecraft in proximity operation missions. International Journal of Automation and Computing, vol. 9, no. 4, pp. 342–351, 2012.

    Article  Google Scholar 

  18. H. Du, G. L. Fan, J. Q. Yi. Nonlinear longitudinal attitude control of an unmanned seaplane with wave filtering. International Journal of Automation and Computing, vol. 13, no. 6, pp. 634–642, 2016.

    Article  Google Scholar 

  19. W. K. Liu. Research on Attitude Maneuver and Tracking for Flexible Spacecraft, Master dissertation, Harbin Institute of Technology, China, 2014. (in Chinese)

    Google Scholar 

  20. L. Zhang, G. R. Duan, Y. A. Zhang. Nonlinear dynamic model and control of three-axis stabilized liquid-filled spacecraft attitude system. Journal of Harbin Institute of Technology (New Series), vol. 19, no. 5, pp. 107–112, 2012.

    Google Scholar 

  21. G. R. Duan. Direct parametric control of fully-actuated second-order nonlinear systems-The normal case. In Proceedings of the 33rd Chinese Control Conference, IEEE, Nanjing, China, pp. 2406–2413, 2014.

    Google Scholar 

  22. G. R. Duan, B. Zhou. Solution to the second-order Sylvester matrix equation MVF2 + DVF + KV = BW. IEEE Transactions on Automatic Control, vol. 51, no. 5, pp. 805–809, 2006.

    Article  MathSciNet  MATH  Google Scholar 

  23. G. R. Duan. Generalized Sylvester Equations: Unified Parametric Solutions, New York, USA: CRC Press, pp. 15–393, 2015.

    Book  MATH  Google Scholar 

  24. G. R. Duan. Parametric eigenstructure assignment in second-order descriptor linear systems. IEEE Transactions on Automatic Control, vol. 49, no. 10, pp. 1789–1794, 2004.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgement

The first author hereby extends her thanks to all the classmates in the Center for Control Theory and Guidance Technology in Harbin Institute of Technology, because of their help in the academic research and daily life. Additionally, the first author thanks professor Bin Zhou for his help of academic paper writing.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xiao-Yi Wang.

Additional information

This work was supported by National Natural Science Foundation of China (No. 61321062).

Recommended by Associate Editor Chandrasekhar Kambhampati

Xiao-Yi Wang received the B. Sc. degree from Department of Control Science and Engineering, Harbin Institute of Technology, China in 2014. She received the M. Sc. degree in Centre for Control Theory and Guidance Technology, Harbin Institute of technology, China in 2017.

Her research interests include nonlinear robust control and spacecraft attitude control.

Guan-Ren Duan received the B. Sc. degree in applied mathematics from Yanshan University, China in 1983, the M. Sc. degree in control systems theory from Harbin Engineering University, China in 1986, and received the Ph.D. degree in control systems theory from Harbin Institute of Technology, China in 1989. From 1989 to 1991, he was a post-doctoral researcher at Harbin Institute of Technology, where he became a professor of control systems theory in 1991. He visited the University of Hull, UK, and the University of Sheffield, UK from December 1996 to October 1998, and worked at the Queens University of Belfast, UK from October 1998 to October 2002. Since August 2000, he has been elected specially employed professor at Harbin Institute of Technology sponsored by the Cheung Kong Scholars Program of the Chinese government. He is currently the director of the Centre for Control Systems and Guidance Technology at Harbin Institute of Technology. He is the author and co-author of over 300 publications. He is a chartered engineer in the UK, a senior member of IEEE and a fellow of IEE.

His research interests include robust control, eigenstructure assignment, descriptor systems, missile autopilot control and magnetic bearing control.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, XY., Duan, GR. A direct parametric approach to spacecraft attitude tracking control. Int. J. Autom. Comput. 14, 626–636 (2017). https://doi.org/10.1007/s11633-017-1089-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11633-017-1089-4

Keywords

Navigation