Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2014, Article ID 621783, 8 pages
http://dx.doi.org/10.1155/2014/621783
Research Article

Disturbance Attenuation via Output Feedback for Uncertain Nonlinear Systems with Output and Input Depending Growth Rate

1School of Control Science and Engineering, Shandong University, Jinan 250061, China
2School of Electrical Engineering and Automation, Qilu University of Technology, Jinan 250353, China

Received 22 June 2014; Revised 19 September 2014; Accepted 3 October 2014; Published 6 November 2014

Academic Editor: Haranath Kar

Copyright © 2014 Weiyong Yu and Fangfang Zhang. 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. F. Mazenc, L. Praly, and W. P. Dayawansa, “Global stabilization by output feedback: examples and counterexamples,” Systems & Control Letters, vol. 23, no. 2, pp. 119–125, 1994. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  2. M. Krstic, I. Kanellakopoulos, and P. V. Kokotovic, Nonlinear and Adaptive Control Design, John Wiley & Sons, New York, NY, USA, 1995.
  3. Z.-P. Jiang, “A combined backstepping and small-gain approach to adaptive output feedback control,” Automatica, vol. 35, no. 6, pp. 1131–1139, 1999. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  4. Z.-Y. Chen and J. Huang, “Global output feedback stabilization for uncertain nonlinear systems with output dependent incremental rate,” in Proceedings of the American Control Conference (AAC '04), pp. 3047–3052, Boston, Mass, USA, July 2004. View at Publisher · View at Google Scholar · View at Scopus
  5. L. Praly and Z.-P. Jiang, “Linear output feedback with dynamic high gain for nonlinear systems,” Systems & Control Letters, vol. 53, no. 2, pp. 107–116, 2004. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  6. H. Lei and W. Lin, “Universal adaptive control of nonlinear systems with unknown growth rate by output feedback,” Automatica, vol. 42, no. 10, pp. 1783–1789, 2006. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  7. H. Lei and W. Lin, “Adaptive regulation of uncertain nonlinear systems by output feedback: a universal control approach,” Systems & Control Letters, vol. 56, no. 7-8, pp. 529–537, 2007. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  8. H.-L. Choi and J.-T. Lim, “Stabilisation of non-linear systems with unknown growth rate by adaptive output feedback,” International Journal of Systems Science, vol. 41, no. 6, pp. 673–678, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  9. A. Benabdallah, H. Ayadi, and M. Mabrouk, “Global adaptive output stabilization of uncertain nonlinear systems with polynomial output depending growth rate,” International Journal of Adaptive Control and Signal Processing, vol. 28, no. 7-8, pp. 604–619, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. X. Zhang, L. Baron, Q. Liu, and E.-K. Boukas, “Design of stabilizing controllers with a dynamic gain for feedforward nonlinear time-delay systems,” IEEE Transactions on Automatic Control, vol. 56, no. 3, pp. 692–697, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  11. R. Marino, W. Respondek, A. J. van der Schaft, and P. Tomei, “Nonlinear H almost disturbance decoupling,” Systems & Control Letters, vol. 23, no. 3, pp. 159–168, 1994. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  12. C.-J. Qian and W. Lin, “Almost disturbance decoupling for a class of high-order nonlinear systems,” IEEE Transactions on Automatic Control, vol. 45, no. 6, pp. 1208–1214, 2000. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  13. W. Lin, C. Qian, and X. Huang, “Disturbance attenuation of a class of non-linear systems via output feedback,” International Journal of Robust and Nonlinear Control, vol. 13, no. 15, pp. 1359–1369, 2003. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  14. Y.-J. Pan, H. J. Marquez, and T. Chen, “A new output feedback stabilization controller for the disturbance attenuation of MIMO non-linear systems,” International Journal of Control, vol. 80, no. 9, pp. 1481–1490, 2007. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  15. F. Shang and Y. Liu, “Adaptive disturbance attenuation via output feedback for nonlinear systems with polynomial-of-output growth rate,” International Journal of Control, vol. 87, no. 3, pp. 600–611, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  16. J. K. Hale, Ordinary Differential Equations, Krieger, Huntington, NY, USA, 2nd edition, 1980. View at MathSciNet
  17. H.-W. Jo, H.-L. Choi, and J.-T. Lim, “Measurement feedback control for a class of feedforward nonlinear systems,” International Journal of Robust and Nonlinear Control, vol. 23, no. 12, pp. 1405–1418, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus