Skip to main content
Log in

Adaptive backstepping sliding mode trajectory tracking control for a quad-rotor

  • Brief Paper
  • Published:
International Journal of Automation and Computing Aims and scope Submit manuscript

Abstract

A quad-rotor aircraft is an under-actuated, strongly coupled nonlinear system with parameter uncertainty and un-modeled disturbance. In order to make the aircraft track the desired trajectory, a nested double-loops control system is adopted in this paper. A position error proportional-derivative (PD) controller is designed as the outer-loop controller based on the coupling action between rotational and translational movement, and an adaptive backstepping sliding mode control algorithm is used to stabilize the attitude. Finally, both the numerical simulation and prototype experiment are utilized to demonstrate the effectiveness of the proposed control system.

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. Z. Fang, Z. Zhi, L. Jun, W. Jian. Feedback linearization and continuous sliding mode control for a quadrotor UAV. In Proceedings of the 27th Chinese Control Conference, IEEE, Kunming, China, pp. 349–353, 2008.

  2. A. Hably, N. Marchand. Global stabilization of a four rotor helicopter with bounded inputs. In Proceedings of 2007 IEEE/RSJ International Conference on Intelligent Robots and Systems, IEEE, San Diego, USA, pp. 129–134, 2007.

  3. M. Bouchoucha, M. Tadjine, P. Müllhaupt, A. Tayebi. Step by step robust nonlinear PI for attitude stabilisation of a four-rotor mini-aircraft. In Proceedings of the 16th Mediterranean Conference on Control and Automation, IEEE, Ajaccio, France, pp. 1276–1283, 2008.

  4. T. Madani, A. Benallegue. Control of a quadrotor minihelicopter via full state backstepping technique. In Proceedings of the 45th IEEE Conference on Decision & Control, San Diego, USA, pp. 1515–1520, 2006.

  5. T. Madani, A. Benallegue. Backstepping control for a quadrotor helicopter. In Proceedings of 2006 IEEE/RSJ International Conference on Intelligent Robots and Systems, IEEE, Beijing, China, pp. 3255–3260, 2006.

  6. Z. Zuo. Trajectory tracking control design with command-filtered compensation for a quadrotor. IET Control Theory & Application, vol. 4, no. 11, pp. 2343–2355, 2010.

    Article  MathSciNet  Google Scholar 

  7. A. J. Koshkouei, A. S. I. Zinober. Adaptive backstepping control of nonlinear systems with unmatched uncertainty. In Proceedings of the 39th IEEE Conference on Decision & Control, IEEE, Sydney, Australia, pp. 4765–4770, 2000.

  8. Q. Zhu, A. G. Song, T. P. Zhang, Y. Q. Yang. Fuzzy adaptive control of delayed high order nonlinear systems. International Journal of Automation and Computing, vol.9, no. 2, pp. 191–199, 2012.

    Article  Google Scholar 

  9. M. B. R. Neila, D. Tarak. Adaptive terminal sliding mode control for rigid robotic manipulators. International Journal of Automation and Computing, vol. 8, no. 2, pp. 215–220, 2011.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yue Bai.

Additional information

This work was supported by Chinese Academy of Sciences (No. yyyj-1112).

Xun Gong graduated from Harbin Institute of Technology (HIT), China in 2005. He received his M. Sc. degree from HIT, China in 2008. He is currently a Ph.D. candidate in the School of Telecommunication Engineering, Jilin University, China.

His research interests include unmanned aerial vehicle (UAV) control system, bounded control, and fault-tolerant control.

Zhi-Cheng Hou received his B. Sc. and M. Sc. degrees from Jilin University, China in 2008 and 2011, respectively. He is currently a Ph. D. candidate in the School of Telecommunication Engineering, Jilin University, China.

His research interests include UAV control system, robust control, and adaptive control.

Chang-Jun Zhao received his B. Sc. and M. Sc. degrees from Northeast Dianli University, China in 2009 and 2011, respectively. He is currently a Ph. D. candidate in Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, China.

His research interests include UAV control system, robust control, and adaptive control.

Yue Bai received his Ph.D. degree from Chang Chun Institute of Optics Fine Mechanics and Physics, Chinese Academy of Sciences, China in 2006. He is currently an associate professor in Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, China.

His interests include automatic control and dynamics for micro aerial vehicle (MAV), friction lubrication, and space flywheel practical technology under extreme conditions.

Yan-Tao Tian graduated from Jilin University of Technology, China in 1982. He received his M. Sc. degree in 1987 and Ph.D. degree in 1993 from Jilin University of Technology, China. He is currently a professor in the School of Telecommunication Engineering, Jilin University, China.

His research interests include complex system, distributed intelligent system and network control, intelligent robot control system and network control, pattern recognition, and machine vision.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gong, X., Hou, ZC., Zhao, CJ. et al. Adaptive backstepping sliding mode trajectory tracking control for a quad-rotor. Int. J. Autom. Comput. 9, 555–560 (2012). https://doi.org/10.1007/s11633-012-0679-4

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11633-012-0679-4

Keywords

Navigation