Table of Contents Author Guidelines Submit a Manuscript
Discrete Dynamics in Nature and Society
Volume 2012, Article ID 840986, 13 pages
http://dx.doi.org/10.1155/2012/840986
Research Article

Observer-Based Mixed Tracking Control for Continuous-Time Systems with Integral Action and Pole Placement

Oujiang College, Wenzhou University, Wenzhou, Zhejiang 325027, China

Received 24 January 2012; Accepted 3 March 2012

Academic Editor: Victor S. Kozyakin

Copyright © 2012 Huxiong Li. 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. K. J. Åström and T. Hägglund, “The future of PID control,” Control Engineering Practice, vol. 9, no. 11, pp. 1163–1175, 2001. View at Google Scholar
  2. R. Venkataramani and Y. Bresler, “Filter design for MIMO sampling and reconstruction,” IEEE Transactions on Signal Processing, vol. 51, no. 12, pp. 3164–3176, 2003. View at Publisher · View at Google Scholar
  3. P. Gahinet and P. Apkarian, “A linear matrix inequality approach to control,” International Journal of Robust and Nonlinear Control, vol. 4, no. 4, pp. 421–448, 1994. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  4. G. Pipeleers, B. Demeulenaere, J. Swevers, and L. Vandenberghe, “Extended LMI characterizations for stability and performance of linear systems,” Systems & Control Letters, vol. 58, no. 7, pp. 510–518, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  5. A. Elsayed and M. J. Grimble, “A new approach to the design of optimal digital linear filters,” IMA Journal of Mathematical Control and Information, vol. 6, no. 2, pp. 233–251, 1989. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  6. W. M. McEneaney, “Robust/ filtering for nonlinear systems,” Systems & Control Letters, vol. 33, no. 5, pp. 315–325, 1998. View at Publisher · View at Google Scholar
  7. P. Apkarian and P. Gahinet, “A convex characterization of gain-scheduled controllers,” IEEETransactions on Automatic Control, vol. 40, no. 5, pp. 853–864, 1995. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  8. S. H. Kim and P. Park, “Relaxed H stabilization conditions for discrete-time fuzzy systems with interval time-varying delays,” IEEE Transactions on Fuzzy Systems, vol. 17, no. 6, pp. 1441–1449, 2009. View at Google Scholar
  9. C.-S. Tseng, “A novel approach to decentralized fuzzy-observer-based fuzzy control design for nonlinear interconnected systems,” IEEE Transactions on Fuzzy Systems, vol. 16, no. 5, pp. 1337–1350, 2008. View at Google Scholar
  10. H. Gao, X. Meng, and T. Chen, “A new design of robust 2 filters for uncertain systems,” Systems & Control Letters, vol. 57, no. 7, pp. 585–593, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  11. P. P. Khargonekar and M. A. Rotea, “Mixed 2/ control: a convex optimization approach,” IEEETransactions on Automatic Control, vol. 36, no. 7, pp. 824–837, 1991. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  12. D. J. N. Limebeer, B. D. O. Anderson, and B. Hendel, “A Nash game approach to mixed 2/ control,” IEEE Transactions on Automatic Control, vol. 39, no. 1, pp. 69–82, 1994. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  13. Y.-C. Lin and J.-C. Lo, “Robust mixed 2/ filtering for time-delay fuzzy systems,” IEEE Transactions on Signal Processing, vol. 54, no. 8, pp. 2897–2909, 2006. View at Google Scholar
  14. R. M. Palhares and P. L. D. Peres, “LMI approach to the mixed 2/ filtering design for discrete-time systems,” IEEE Transactions on Aerospace and Electronic Systems, vol. 37, no. 1, pp. 292–296, 2001. View at Google Scholar
  15. M.-J. Khosrowjerdi, R. Nikoukhah, and N. Safari-Shad, “Fault detection in a mixed 2/ setting,” in Proceedings of the 42nd IEEE Conference Decision and Control, pp. 1461–1466, Maui, Hawaii USA, 2003.
  16. M. D. S. Aliyu and E. K. Boukas, “Discrete-time mixed 2/ nonlinear filtering,” in Proceedings of the American Control Conference, pp. 5230–5235, Seattle, Wash, USA, 2008.
  17. W. M. Haddad, D. S. Bernstein, and D. Mustafa, “Mixed-norm 2/ regulation and estimation: the discrete-time case,” Systems & Control Letters, vol. 16, no. 4, pp. 235–247, 1991. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  18. P. P. Khargonekar, M. A. Rotea, and E. Baeyens, “Mixed 2/ filtering,” International Journal of Robust and Nonlinear Control, vol. 6, no. 4, pp. 313–330, 1996. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  19. R. M. Palhares and P. L. D. Peres, “Robust filtering with guaranteed energy-to-peak performance—an LMI approach,” Automatica, vol. 36, no. 6, pp. 851–858, 2000. View at Publisher · View at Google Scholar
  20. K. M. Grigoriadis and J. T. Watson, “Reduced-order and 2 filtering via linear matrix inequalities,” IEEE Transactions on Aerospace and Electronic Systems, vol. 33, no. 4, pp. 1326–1338, 1997. View at Google Scholar
  21. A. Kojima and S. Ishijima, “ preview tracking in output feedback setting,” International Journal of Robust and Nonlinear Control, vol. 14, no. 7, pp. 627–641, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  22. E. Gershon, U. Shaked, and I. Yaesh, “"ℋ tracking of linear continuous-time systems with stochastic uncertainties and preview,” International Journal of Robust and Nonlinear Control, vol. 14, no. 7, pp. 607–626, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  23. A. Cohen and U. Shaked, “Linear discrete-time -optimal tracking with preview,” IEEETransactions on Automatic Control, vol. 42, no. 2, pp. 270–276, 1997. View at Publisher · View at Google Scholar
  24. K. Takaba, “Robust servomechanism with preview action for polytopic uncertain systems,” International Journal of Robust and Nonlinear Control, vol. 10, no. 2, pp. 101–111, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  25. A. Kojima and S. Ishijima, “LQ preview synthesis: optimal control and worst case analysis,” IEEETransactions on Automatic Control, vol. 44, no. 2, pp. 352–357, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  26. M. Chilali and P. Gahinet, “ design with pole placement constraints: an LMI approach,” IEEETransactions on Automatic Control, vol. 41, no. 3, pp. 358–367, 1996. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  27. H. Gao, J. Lam, and C. Wang, “Mixed H2/H filtering for continuous-time polytopic systems: a parameter-dependent approach,” Circuits, Systems, and Signal Processing, vol. 24, no. 6, pp. 689–702, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH