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Mathematical Problems in Engineering
Volume 2006, Article ID 43970, 11 pages
http://dx.doi.org/10.1155/MPE/2006/43970

Stability and control synthesis for discrete-time linear systems subject to actuator saturation by output feedback

1Department of Physics, EACPI Research Unit, Faculty of Sciences Semlalia, University of Cadi Ayyad, Marrakech P.B. 2390, Morocco
2Département de Physique and Laboratoire d'Electronique,Siganux, Systémes et d'Informatique, Faculté des Sciences Dhar El Mahraz, Université Sidi Mohamed Ben Abdellah, Fes P.B. 1796, Morocco
3Department of Electrical Engineering, École Supérieure de Technologie, Eljadida Km 7, Casablanca, Morocco

Received 16 August 2004; Revised 15 September 2005; Accepted 22 September 2005

Copyright © 2006 A. Benzaouia 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. Benzaouia and A. Baddou, “Piecewise linear constrained control for continuous-time systems,” IEEE Transactions on Automatic Control, vol. 44, no. 7, pp. 1477–1481, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  2. A. Benzaouia, A. Baddou, and S. Elfaiz, “Piecewise linear constrained control for continuous-time systems: the maximal admissible domain,” in Proceedings of 15th IFAC World Congress, Barcelona, 2002.
  3. A. Benzaouia, E. L. Boukas, and N. Daraoui, “Stability of continuous-time linear systems with Markovian jumping parameters and constrained control,” in Proceedings of 15th IFAC World Congress, Barcelona, 2002.
  4. A. Benzaouia and C. Burgat, “Regulator problem for linear discrete-time systems with non-symmetrical constrained control,” International Journal of Control, vol. 48, no. 6, pp. 2441–2451, 1988. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  5. A. Benzaouia and A. Hmamed, “Regulator problem for linear continuous-time systems with nonsymmetrical constrained control,” IEEE Transactions on Automatic Control, vol. 38, no. 10, pp. 1556–1560, 1993. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  6. A. Benzaouia and D. Mehdi, “The output feedback saturated controller design for linear systems,” in Proceedings of the 10th Mediterranean Conferenceon Control and Automation, Lisbon, 2002.
  7. D. S. Bernstein and A. N. Michel, “A chronological bibliography on saturating actuators,” International Journal of Robust and Nonlinear Control, vol. 5, no. 5, pp. 375–380, 1995. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  8. F. Blanchini, “Set invariance in control,” Automatica, vol. 35, no. 11, pp. 1747–1767, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  9. E. K. Boukas and A. Benzaouia, “Stability of discrete-time linear systems with Markovian jumping parameters and constrained control,” IEEE Transactions on Automatic Control, vol. 47, no. 3, pp. 516–521, 2002. View at Publisher · View at Google Scholar · View at MathSciNet
  10. Y.-Y. Cao and Z. Lin, “Stability analysis of discrete-time systems with actuator saturation by a saturation-dependent Lyapunov function,” in Proceedings of 41st IEEE Conference on Decision and Control, vol. 4, pp. 4140–4145, Nevada, 2002.
  11. E. B. Castelan and S. Tarbouriech, “On positive invariance and output feedback stabilization of input constrained linear systems,” in Proceedings of American Control Conference, vol. 3, pp. 2740–2745, Maryland, 1994.
  12. J. Daafouz, P. Riedinger, and C. Iung, “Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach,” IEEE Transactions on Automatic Control, vol. 47, no. 11, pp. 1883–1887, 2002. View at Publisher · View at Google Scholar · View at MathSciNet
  13. L. El Ghaoui, F. Oustry, and M. AitRami, “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 Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  14. H. Fang, Z. Lin, and T. Hu, “Analysis of linear systems in the presence of actuator saturation and 2-disturbances,” Automatica, vol. 40, no. 7, pp. 1229–1238, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  15. G. Garcia, B. Pradin, and F. Zeng, “Stabilization of discrete time linear systems by static output feedback,” IEEE Transactions on Automatic Control, vol. 46, no. 12, pp. 1954–1958, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  16. E. G. Gilbert and K. T. Tan, “Linear systems with state and control constraints: the theory and application of maximal output admissible sets,” IEEE Transactions on Automatic Control, vol. 36, no. 9, pp. 1008–1020, 1991. View at Publisher · View at Google Scholar · View at MathSciNet
  17. C. Gökçek, P. T. Kabamba, and S. M. Meerkov, “An LQR/LQG theory for systems with saturating actuators,” IEEE Transactions on Automatic Control, vol. 46, no. 10, pp. 1529–1542, 2001. View at Google Scholar · View at MathSciNet
  18. D. Henrion, S. Tarbouriech, and G. Garcia, “Output feedback robust stabilization of uncertain linear systems with saturating controls: an LMI approach,” IEEE Transactions on Automatic Control, vol. 44, no. 11, pp. 2230–2237, 1999. View at Publisher · View at Google Scholar · View at MathSciNet
  19. H. Hindi and S. Boyd, “Analysis of linear systems with saturating using convex optimization,” in Proceeding of the 37th IEEE Conference on Decision and Control, vol. 1, pp. 903–908, Florida, 1998.
  20. T. Hu and Z. Lin, “The equivalence of several set invariance conditions under saturation,” in Procceding of the 41st IEEE Conference on Decision and Control, vol. 4, pp. 4146–4147, Nevada, 2002.
  21. T. Hu, Z. Lin, and B. M. Chen, “An analysis and design method for linear systems subject to actuator saturation and disturbance,” Automatica, vol. 38, no. 2, pp. 351–359, 2002. View at Publisher · View at Google Scholar
  22. T. Hu, Z. Lin, and B. M. Chen, “Analysis and design for discrete-time linear systems subject to actuator saturation,” Systems & Control Letters, vol. 45, no. 2, pp. 97–112, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  23. H. Kimura, “Pole assignment by gain output feedback,” IEEE Transactions on Automatic Control, vol. 20, no. 4, pp. 509–516, 1975. View at Publisher · View at Google Scholar · View at MathSciNet
  24. F. Mesquine and A. Benzaouia, “Existence of output feedback for the regulator problem of a class of systems with constrained control,” in Proceedeings of the 1st International Conference on Electronics and Automatic, vol. 4, pp. 108–116, Tizi Ouzou, 1992.
  25. F. Mesquine, F. Tadeo, and A. Benzaouia, “Regulator problem for linear systems with constraints on control and its increment or rate,” Automatica, vol. 40, no. 8, pp. 1387–1395, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  26. E. D. Sontag and H. J. Sussmann, “Nonlinear output feedback design for linear systems with saturating controls,” in Proceedings of the 29th IEEE Conference on Decision and Control, vol. 6, pp. 3414–3416, Hawaii, 1990.
  27. V. L. Syrmos, C. Abdallah, and P. Dorato, “Static output feedback: a survey,” in Proceedings of the 33rd IEEE Conference on Decision and Control, vol. 1, pp. 837–842, Florida, 1994.