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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 108481, 8 pages
http://dx.doi.org/10.1155/2015/108481
Research Article

Robust Hierarchical Control for Uncertain Multivariable Hexarotor Systems

1State Key Laboratory of Mathematical Engineering and Advanced Computing, No. 62 Science Road, Zhengzhou 450002, China
2School of Astronautics, Beihang University, Beijing 100191, China

Received 12 February 2015; Accepted 29 April 2015

Academic Editor: Hiroyuki Mino

Copyright © 2015 Wei Lin and Hao Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. E. Prempain and I. Postlethwaite, “Static H loop shaping control of a fly-by-wire helicopter,” Automatica, vol. 41, no. 9, pp. 1517–1528, 2005. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  2. K. M. Peng, G. W. Cai, B. M. Chen, M. Dong, K. Y. Lum, and T. H. Lee, “Design and implementation of an autonomous flight control law for a UAV helicopter,” Automatica, vol. 45, no. 10, pp. 2333–2338, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  3. L. Marconi and R. Naldi, “Robust full degree-of-freedom tracking control of a helicopter,” Automatica, vol. 43, no. 11, pp. 1909–1920, 2007. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  4. I. A. Raptis, K. P. Valavanis, and W. A. Moreno, “A novel nonlinear backstepping controller design for helicopters using the rotation matrix,” IEEE Transactions on Control Systems Technology, vol. 19, no. 2, pp. 465–473, 2011. View at Publisher · View at Google Scholar · View at Scopus
  5. Q. Qu, F. Chen, B. Jiang, and G. Tao, “Integral sliding mode control for helicopter via disturbance observer and quantum information technique,” Mathematical Problems in Engineering, vol. 2015, Article ID 938246, 7 pages, 2015. View at Publisher · View at Google Scholar
  6. G. M. Hoffmann, H. Huang, S. L. Waslander, and C. J. Tomlin, “Precision flight control for a multi-vehicle quadrotor helicopter testbed,” Control Engineering Practice, vol. 19, no. 9, pp. 1023–1036, 2011. View at Publisher · View at Google Scholar · View at Scopus
  7. G. V. Raffo, M. G. Ortega, and F. R. Rubio, “An integral predictive/nonlinear H control structure for a quadrotor helicopter,” Automatica, vol. 46, no. 1, pp. 29–39, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  8. K. Alexis, G. Nikolakopoulos, and A. Tzes, “Switching model predictive attitude control for a quadrotor helicopter subject to atmospheric disturbances,” Control Engineering Practice, vol. 19, no. 10, pp. 1195–1207, 2011. View at Publisher · View at Google Scholar · View at Scopus
  9. P. Castillo, A. Dzul, and R. Lozano, “Real-time stabilization and tracking of a four-rotor mini rotorcraft,” IEEE Transactions on Control Systems Technology, vol. 12, no. 4, pp. 510–516, 2004. View at Publisher · View at Google Scholar · View at Scopus
  10. A. Tayebi and S. McGilvray, “Attitude stabilization of a VTOL quadrotor aircraft,” IEEE Transactions on Control Systems Technology, vol. 14, no. 3, pp. 562–571, 2006. View at Publisher · View at Google Scholar · View at Scopus
  11. S. Bertrand, N. Guénard, T. Hamel, H. Piet-Lahanier, and L. Eck, “A hierarchical controller for miniature VTOL UAVs: design and stability analysis using singular perturbation theory,” Control Engineering Practice, vol. 19, no. 10, pp. 1099–1108, 2011. View at Publisher · View at Google Scholar · View at Scopus
  12. T. Hamel and R. Mahony, “Visual servoing of an under-actuated dynamic rigid-body system: an image-based approach,” IEEE Transactions on Robotics and Automation, vol. 18, no. 2, pp. 187–198, 2002. View at Publisher · View at Google Scholar · View at Scopus
  13. A. Das, K. Subbarao, and F. Lewis, “Dynamic inversion with zero-dynamics stabilisation for quadrotor control,” IET Control Theory and Applications, vol. 3, no. 3, pp. 303–314, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  14. J. F. Guerrero-Castellanos, N. Marchand, A. Hably, S. Lesecq, and J. Delamare, “Bounded attitude control of rigid bodies: real-time experimentation to a quadrotor mini-helicopter,” Control Engineering Practice, vol. 19, no. 8, pp. 790–797, 2011. View at Publisher · View at Google Scholar · View at Scopus
  15. Z. Zuo, “Trajectory tracking control design with command-filtered compensation for a quadrotor,” IET Control Theory & Applications, vol. 4, no. 11, pp. 2343–2355, 2010. View at Publisher · View at Google Scholar · View at MathSciNet
  16. I. A. Raptis, K. P. Valavanis, and W. A. Moreno, “A novel nonlinear backstepping controller design for helicopters using the rotation matrix,” IEEE Transactions on Control Systems Technology, vol. 19, no. 2, pp. 465–473, 2011. View at Publisher · View at Google Scholar · View at Scopus
  17. Y.-S. Zhong, “Robust output tracking control of SISO plants with multiple operating points and with parametric and unstructured uncertainties,” International Journal of Control, vol. 75, no. 4, pp. 219–241, 2002. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  18. H. Liu, Y. Bai, G. Lu, and Y. Zhong, “Robust attitude control of uncertain quadrotors,” IET Control Theory and Applications, vol. 7, no. 11, pp. 1583–1589, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  19. H. Liu, X. Wang, and Y. Zhong, “Quaternion-based robust attitude control for uncertain robotic quadrotors,” IEEE Transactions on Industrial Informatics, vol. 11, no. 2, pp. 406–415, 2015. View at Publisher · View at Google Scholar
  20. H. Liu, D. Li, J. Xi, and Y. Zhong, “Robust attitude controller design for miniature quadrotors,” International Journal of Robust and Nonlinear Control, 2015. View at Publisher · View at Google Scholar
  21. H. Liu, G. Lu, and Y. Zhong, “Robust LQR attitude control of a 3-DOF laboratory helicopter for aggressive maneuvers,” IEEE Transactions on Industrial Electronics, vol. 60, no. 10, pp. 4627–4636, 2013. View at Publisher · View at Google Scholar · View at Scopus