Table of Contents Author Guidelines Submit a Manuscript
Journal of Control Science and Engineering
Volume 2010, Article ID 482561, 8 pages
http://dx.doi.org/10.1155/2010/482561
Research Article

Static Output Feedback Control Design for Descriptor Systems

1(Institut de Recherche en Communications et Cybernétique de Nantes) IRCCyN, UMR CNRS, 6597 at 1 rue de la Noë, B.P. 93101, 44432 Nantes Cedex 3, France
2(Ecole des Mines de Nantes) EMN, 4 rue Alfred Kastler La Chantrerie, 44307 Nantes, France

Received 9 December 2009; Accepted 19 May 2010

Academic Editor: L. Z. Yu

Copyright © 2010 Mohamed Yagoubi. 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. L. Dai, Singular Control Systems, Lectures Notes in Control and Information Sciences, Springer, Berlin, Germany, 1989.
  2. M. Ikeda, T. W. Lee, and E. Uezato, “A strict LMI condition for H2 control of descriptor systems,” in Proceedings of the IEEE Conference on Decision and Control, vol. 1, pp. 601–604, Sydney, Australia, 2000. View at Scopus
  3. J. Y. Ishihara and M. H. Terra, “On the Lyapunov theorem for singular systems,” IEEE Transactions on Automatic Control, vol. 47, no. 11, pp. 1926–1930, 2002. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  4. F. L. Lewis, “A survey of linear singular systems,” Circuits, Systems, and Signal Processing, vol. 5, no. 1, pp. 3–36, 1986. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  5. I. Masubuchi, Y. Kamitane, A. Ohara, and N. Suda, “H control for descriptor systems: a matrix inequalities approach,” Automatica, vol. 33, no. 4, pp. 669–673, 1997. View at Google Scholar · View at Scopus
  6. E. Uezato and M. Ikeda, “Strict LMI conditions for stability, robust stabilization, and H control of descriptor systems,” in Proceedings of the 38th IEEE Conference on Decision and Control (CDC '99), pp. 4092–4097, Phoenix, Ariz, USA, December 1999. View at Scopus
  7. S. Xu and J. Lam, Robust Control and Filtering of Singular Systems, Lecture Notes in Control and Information Sciences, Springer, Berlin, Germany, 2006.
  8. A. Trofino-Neto and V. Kucera, “Stabilization via static output feedback,” IEEE Transactions on Automatic Control, vol. 38, no. 5, pp. 764–765, 1993. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  9. J.-T. Yu, “A convergent algorithm for computing stabilizing static output feedback gains,” IEEE Transactions on Automatic Control, vol. 49, no. 12, pp. 2271–2275, 2004. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. C.-H. Kuo and C.-H. Fang, “An LMI approach to admissibilization of uncertain descriptor systems via static output feedback,” in Proceedings of the American Control Conference, pp. 5104–5109, June 2003. View at Scopus
  11. D. L. Chu and D. W. C. Ho, “Necessary and sufficient conditions for the output feedback regularization of descriptor systems,” IEEE Transactions on Automatic Control, vol. 44, no. 2, pp. 405–412, 1999. View at Google Scholar · View at Scopus
  12. V. Lovass-Nagy, D. L. Powers, and R. J. Schilling, “On regularizing descriptor systems by output feedback,” IEEE Transactions on Automatic Control, vol. 39, no. 7, pp. 1507–1509, 1994. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  13. A. Fujimori, “Optimization of static output feedback using substitutive LMI formulation,” IEEE Transactions on Automatic Control, vol. 49, no. 6, pp. 995–999, 2004. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  14. M. Yagoubi and P. Chevrel, “Structured H2 controller synthesis via a dilated LMI based algorithm,” in Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference (CDC-ECC '05), pp. 5746–5751, December 2005. View at Publisher · View at Google Scholar · View at Scopus
  15. Y. He and Q.-G. Wang, “An improved ILMI method for static output feedback control with application to multivariable PID control,” IEEE Transactions on Automatic Control, vol. 51, no. 10, pp. 1678–1683, 2006. View at Google Scholar
  16. M. Yagoubi and P. Chevrel, “An ILMI approach to structure constrained control design,” in Proceedings of the European Control Conference, Porto, Portugal, 2001.
  17. L. El Ghaoui, F. Oustry, and M. Aït Rami, “A cone complementarity linearization algorithm for static output-feedback and related problems,” IEEE Transactions on Automatic Control, vol. 42, no. 8, pp. 1171–1176, 1997. View at Google Scholar
  18. E. Uezato and M. Ikeda, “Strict LMI conditions for stability, robust stabilization, and H control of descriptor systems,” in Proceedings of the 38th IEEE Conference on Decision and Control (CDC '99), pp. 4092–4097, Phoenix, Ariz, USA, December 1999.
  19. D. Alazard and P. Apkarian, “Exact observer-based structures for arbitrary compensators,” International Journal of Robust and Nonlinear Control, vol. 9, no. 2, pp. 101–118, 1999. View at Google Scholar · View at Scopus
  20. M. Yagoubi and P. Chevrel, “Direct versus Indirect observer-based H control,” in Proceedings of the IFAC World Congress, Barcelona, Spain, 2002.