Table of Contents Author Guidelines Submit a Manuscript
Shock and Vibration
Volume 2014, Article ID 106531, 16 pages
http://dx.doi.org/10.1155/2014/106531
Research Article

Feedback Linearisation for Nonlinear Vibration Problems

1Centre for Engineering Dynamics, School of Engineering, The University of Liverpool, Brownlow Hill, Liverpool L69 3GH, UK
2Department of Aerospace Engineering, University of Bristol, Queens Building, University Walk, Bristol BS8 1TR, UK

Received 4 July 2013; Accepted 7 January 2014; Published 5 June 2014

Academic Editor: Nuno Maia

Copyright © 2014 S. Jiffri et al. 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. Isidori, Nonlinear Control Systems, Springer, New York, NY, USA, 1995.
  2. T. I. Fossen and M. J. Paulsen, “Adaptive feedback linearization applied to steering of ships,” Modeling, Identification and Control, vol. 14, no. 4, pp. 229–237, 1993. View at Publisher · View at Google Scholar
  3. J. Ko, A. J. Kurdila, and T. W. Strganac, “Nonlinear control of a prototypical wing section with torsional nonlinearity,” Journal of Guidance, Control, and Dynamics, vol. 20, no. 6, pp. 1181–1189, 1997. View at Google Scholar · View at Scopus
  4. J. Ko, A. J. Kurdila, and T. Strganac, “Stability and control of a structurally nonlinear aeroelastic system,” Journal of Guidance, Control, and Dynamics, vol. 21, no. 5, pp. 718–725, 1998. View at Google Scholar · View at Scopus
  5. J. Ko, T. W. Strganac, and A. J. Kurdila, “Adaptive feedback linearization for the control of a typical wing section with structural nonlinearity,” Nonlinear Dynamics, vol. 18, no. 3, pp. 289–301, 1999. View at Publisher · View at Google Scholar · View at Scopus
  6. M. M. Monahemi and M. Krstic, “Control of wing rock motion using adaptive feedback linearization,” Journal of Guidance, Control, and Dynamics, vol. 19, no. 4, pp. 905–912, 1996. View at Google Scholar · View at Scopus
  7. A. Poursamad, “Adaptive feedback linearization control of antilock braking systems using neural networks,” Mechatronics, vol. 19, no. 5, pp. 767–773, 2009. View at Publisher · View at Google Scholar · View at Scopus
  8. C. P. Bechlioulis and G. A. Rovithakis, “Robust adaptive control of feedback linearizable MIMO nonlinear systems with prescribed performance,” IEEE Transactions on Automatic Control, vol. 53, no. 9, pp. 2090–2099, 2008. View at Publisher · View at Google Scholar · View at Scopus
  9. K. Shojaei, A. Mohammad Shahri, and A. Tarakameh, “Adaptive feedback linearizing control of nonholonomic wheeled mobile robots in presence of parametric and nonparametric uncertainties,” Robotics and Computer-Integrated Manufacturing, vol. 27, no. 1, pp. 194–204, 2011. View at Publisher · View at Google Scholar · View at Scopus
  10. L. Tuan, S.-G. Lee, V.-H. Dang, S. Moon, and B. Kim, “Partial feedback linearization control of a three-dimensional overhead crane,” International Journal of Control, Automation and Systems, vol. 11, no. 4, pp. 718–727, 2013. View at Publisher · View at Google Scholar
  11. Y. M. Ram and J. E. Mottershead, “Multiple-input active vibration control by partial pole placement using the method of receptances,” Mechanical Systems and Signal Processing, vol. 40, no. 2, pp. 727–735, 2013. View at Publisher · View at Google Scholar · View at Scopus
  12. J. R. Wright and J. E. Cooper, Introduction to Aircraft Aeroelasticity and Loads, Wiley, Chichester, UK, 2007.
  13. S. Jiffri, J. E. Mottershead, and J. E. Cooper, “Adaptive feedback linearisation and control of a flexible aircraft wing,” in Topics in Modal Analysis, Volume 7, Conference Proceedings of the Society for Experimental Mechanics Series, Springer, 2013. View at Publisher · View at Google Scholar
  14. http://www.airbus.com/aircraftfamilies/passengeraircraft/a330family/a330-200/specifications/.
  15. D. P. Atherton, Stability of Nonlinear Systems, John Wiley & Sons, New York, NY, USA, 1981.