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Mathematical Problems in Engineering
Volume 2014, Article ID 312494, 11 pages
http://dx.doi.org/10.1155/2014/312494
Research Article

Adaptive-Gain Second-Order Sliding Mode Control of Attitude Tracking of Flexible Spacecraft

Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand

Received 15 March 2014; Accepted 11 April 2014; Published 21 May 2014

Academic Editor: Her-Terng Yau

Copyright © 2014 Chutiphon Pukdeboon. 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. A. G. Kelkar, S. M. Joshi, and T. E. Alberts, “Dissipative controllers for nonlinear multibody flexible space systems,” Journal of Guidance, Control, and Dynamics, vol. 18, no. 5, pp. 1044–1052, 1995. View at Google Scholar · View at Scopus
  2. S. Di Gennaro, “Active vibration suppression in flexible spacecraft attitude tracking,” Journal of Guidance, Control, and Dynamics, vol. 21, no. 3, pp. 400–408, 1998. View at Google Scholar · View at Scopus
  3. Q. Hu, “Sliding mode attitude control with L2-gain performance and vibration reduction of flexible spacecraft with actuator dynamics,” Acta Astronautica, vol. 67, no. 5-6, pp. 572–583, 2010. View at Publisher · View at Google Scholar · View at Scopus
  4. B. Xiao, Q. Hu, and Y. Zhang, “Adaptive sliding mode fault tolerant attitude tracking control for flexible spacecraft under actuator saturation,” IEEE Transactions on Control Systems Technology, vol. 20, no. 6, pp. 1605–1612, 2012. View at Publisher · View at Google Scholar · View at Scopus
  5. M. Shahravi, M. Kabganian, and A. Alasty, “Adaptive robust attitude control of a flexible spacecraft,” International Journal of Robust and Nonlinear Control, vol. 16, no. 6, pp. 287–302, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  6. S. N. Singh and 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. View at Publisher · View at Google Scholar · View at Scopus
  7. Q. Hu, “Variable structure maneuvering control with time-varying sliding surface and active vibration damping of flexible spacecraft with input saturation,” Acta Astronautica, vol. 64, no. 11-12, pp. 1085–1108, 2009. View at Publisher · View at Google Scholar · View at Scopus
  8. Q. Hu and B. Xiao, “Fault-tolerant sliding mode attitude control for flexible spacecraft under loss of actuator effectiveness,” Nonlinear Dynamics, vol. 64, no. 1-2, pp. 13–22, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  9. Y. Zeng, A. D. Araujo, and S. N. Singh, “Output feedback variable structure adaptive control of a flexible spacecraft,” Acta Astronautica, vol. 44, no. 1, pp. 11–22, 1999. View at Publisher · View at Google Scholar · View at Scopus
  10. S. Di Gennaro, “Output attitude tracking for flexible spacecraft,” Automatica, vol. 38, no. 10, pp. 1719–1726, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  11. J. Zheng, S. P. Banks, and H. Alleyne, “Optimal attitude control for three-axis stabilized flexible spacecraft,” Acta Astronautica, vol. 56, no. 5, pp. 519–528, 2005. View at Publisher · View at Google Scholar · View at Scopus
  12. C. Pukdeboon, “Optimal sliding mode controllers for attitude stabilization of flexible spacecraft,” Mathematical Problems in Engineering, vol. 2011, Article ID 863092, 20 pages, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  13. Q. Hu and B. Xiao, “Intelligent proportional-derivative control for flexible spacecraft attitude stabilization with unknown input saturation,” Aerospace Science and Technology, vol. 23, no. 1, pp. 63-–74, 2012. View at Publisher · View at Google Scholar · View at Scopus
  14. V. I. Utkin, Sliding Modes in Control and Optimization, Springer, Berlin, Germany, 1992. View at MathSciNet
  15. Q. Hu, P. Shi, and H. J. Gao, “Adaptive variable structure and commanding shaped vibration control of flexible spacecraft,” Journal of Guidance, Control, and Dynamics, vol. 30, no. 3, pp. 804–815, 2007. View at Publisher · View at Google Scholar · View at Scopus
  16. J. Erdong and S. Zhaowei, “Robust attitude tracking control of flexible spacecraft for achieving globally asymptotic stability,” International Journal of Robust and Nonlinear Control, vol. 19, no. 11, pp. 1201–1223, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  17. Z. Man, A. P. Paplinski, and H. R. Wu, “A robust MIMO terminal sliding mode control scheme for rigid robotic manipulators,” IEEE Transactions on Automatic Control, vol. 39, no. 12, pp. 2464–2469, 1994. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  18. Y. Feng, X. Yu, and Z. Man, “Non-singular terminal sliding mode control of rigid manipulators,” Automatica, vol. 38, no. 12, pp. 2159–2167, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  19. J. Erdong and S. Zhaowei, “Passivity-based control for a flexible spacecraft in the presence of disturbances,” International Journal of Non-Linear Mechanics, vol. 45, no. 4, pp. 348–356, 2010. View at Publisher · View at Google Scholar · View at Scopus
  20. S. Wu, G. Radice, and Z. Sun, “Robust finite-time control for flexible spacecraft attitude maneuver,” Journal of Aerospace Engineering, vol. 27, no. 1, pp. 185–190, 2014. View at Google Scholar
  21. W. Perruquetti and J. P. Barbot, Sliding Mode Control in Engineering, Marcel Dekker, New York, NY, USA, 2002.
  22. C. Edwards, E. Fossas Colet, and L. Fridman, Advances in Variable Structure and Sliding Mode Control, Lecture Notes in Control and Information Sciences, Springer, Berlin, Germany, 2006.
  23. A. Damiano, G. L. Gatto, I. Marongiu, and A. Pisano, “Second-order sliding-mode control of dc drives,” IEEE Transactions on Industrial Electronics, vol. 51, no. 2, pp. 364–373, 2004. View at Publisher · View at Google Scholar · View at Scopus
  24. G. Bartolini, A. Pisano, and E. Usai, “Second-order sliding-mode control of container cranes,” Automatica, vol. 38, no. 10, pp. 1783–1790, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  25. M. Canale, L. Fagiano, A. Ferrara, and C. Vecchio, “Vehicle yaw control via second-order sliding-mode technique,” IEEE Transactions on Industrial Electronics, vol. 55, no. 11, pp. 3908–3916, 2008. View at Publisher · View at Google Scholar · View at Scopus
  26. C. Pukdeboon, A. S. I. Zinober, and M.-W. L. Thein, “Quasi-continuous higher order sliding-mode controllers for spacecraft-attitude-tracking maneuvers,” IEEE Transactions on Industrial Electronics, vol. 57, no. 4, pp. 1436–1444, 2010. View at Publisher · View at Google Scholar · View at Scopus
  27. C. Pukdeboon, “Finite-time second-order sliding mode controllers for spacecraft attitude tracking,” Mathematical Problems in Engineering, vol. 2012, Article ID 930269, 12 pages, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  28. W. Respondek, A. Pogromsky, and H. Nijmeijer, “Time scaling for observer design with linearizable error dynamics,” Automatica, vol. 40, no. 2, pp. 277–285, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  29. J. R. Wertz, Spacecraft Attitude Determination and Control, Kluwer Academic Publishers, 1978.
  30. M. J. Sidi, Spacecraft Dynamics and Control, Cambridge University Press, Cambridge, UK, 1997.
  31. V. T. Haimo, “Finite time controllers,” SIAM Journal on Control and Optimization, vol. 24, no. 4, pp. 760–771, 1986. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  32. S. P. Bhat and D. S. Bernstein, “Finite-time stability of continuous autonomous systems,” SIAM Journal on Control and Optimization, vol. 38, no. 3, pp. 751–766, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  33. S. Di Gennaro, “Output stabilization of flexible spacecraft with active vibration suppression,” IEEE Transactions on Aerospace and Electronic Systems, vol. 39, no. 3, pp. 747–759, 2003. View at Google Scholar