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Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 696742, 15 pages
http://dx.doi.org/10.1155/2012/696742
Research Article

Probability-Dependent Static Output Feedback Control for Discrete-Time Nonlinear Stochastic Systems with Missing Measurements

Department of Control Science and Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China

Received 21 June 2012; Accepted 2 August 2012

Academic Editor: Zidong Wang

Copyright © 2012 Wangyan Li 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. P. Apkarian and R. J. Adams, “Advanced gain-scheduling techniques for uncertain systems,” IEEE Transactions On Control Systems Technology, vol. 6, no. 1, pp. 21–32, 1998.
  2. Y. Y. Cao, Z. Lin, and Y. Shamash, “Set invariance analysis and gain-scheduling control for LPV systems subject to actuator saturation,” Systems & Control Letters, vol. 46, no. 2, pp. 137–151, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  3. W. H. Chen, Z. H. Guan, and X. Lu, “Delay-dependent exponential stability of uncertain stochastic systems with multiple delays: an LMI approach,” Systems & Control Letters, vol. 54, no. 6, pp. 547–555, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  4. W. J. Rugh and J. S. Shamma, “Research on gain scheduling,” Automatica, vol. 36, no. 10, pp. 1401–1425, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  5. G. Wei, Z. Wang, and B. Shen, “Probability-dependent gain-scheduled filtering for stochastic systems with missing measure- ments,” IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 58, no. 11, pp. 753–757, 2011.
  6. G. Wei, Z. Wang, and B. Shen, “Probability-dependent gain-scheduled control for discrete stochastic delayed systems with randomly occurring nonlinearities,” International Journal of Robust and Nonlinear Control, 2012. View at Publisher · View at Google Scholar
  7. Y. Y. Cao, J. Lam, and Y. X. Sun, “Static output feedback stabiliztion: an LMI approach,” Automatica, vol. 34, no. 12, pp. 1641–1645, 1998.
  8. J. C. Geromel, C. C. de Souza, and R. E. Skelton, “Static output feedback controllers: stability and convexity,” IEEE Transactions on Automatic Control, vol. 43, no. 1, pp. 120–125, 1998. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  9. I. N. Kar, “Design of static output feedback controller for uncertain systems,” Automatica, vol. 35, no. 1, pp. 169–175, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  10. R. E. Benton, Jr. and D. Smith, “Static output feedback stabilization with prescribed degree of stability,” IEEE Transactions on Automatic Control, vol. 43, no. 10, pp. 1493–1496, 1998. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  11. E. Prempain and I. Postlethwaite, “Static output feedback stabilisation with H performance for a class of plants,” Systems & Control Letters, vol. 43, no. 3, pp. 159–166, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  12. V. L. Syrmos, C. T. Abdallah, P. Dorato, and K. Grigoriadis, “Static output feedback—a survey,” Automatica, vol. 33, no. 2, pp. 125–137, 1997. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  13. Z. Wang F, Yang, D. W. C. Ho, and X. Liu, “Robust H filtering for stochastic time-delay systems with missing measurements,” IEEE Transactions on Signal Processing, vol. 54, no. 7, pp. 2579–2587, 2006.
  14. H. Gao and T. Chen, “H estimation for uncertain systems with limited communication capacity,” Institute of Electrical and Electronics Engineers. Transactions on Automatic Control, vol. 52, no. 11, pp. 2070–2084, 2007. View at Publisher · View at Google Scholar
  15. G. Wei, Z. Wang, X. He, and H. Shu, “Filtering for networked stochastic time-delay systems with sector nonlinearity,” vol. 56, no. 1, pp. 71–75, 2009.
  16. G. Wei, Z. Wang, and H. Shu, “Robust filtering with stochastic nonlinearities and multiple missing measurements,” Automatica, vol. 45, no. 3, pp. 836–841, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  17. Y. Kuang, H. L. Smith, and R. H. Martin, “Global stability for infinite-delay, dispersive Lotka-Volterra systems: weakly interacting populations in nearly identical patches,” Journal of Dynamics and Differential Equations, vol. 3, no. 3, pp. 339–360, 1991. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  18. Y. Liu, Z. Wang, and X. Liu, “Robust H control for a class of nonlinear stochastic systems with mixed time delay,” International Journal of Robust and Nonlinear Control, vol. 17, no. 16, pp. 1525–1551, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  19. L. Xie, E. Fridman, and U. Shaked, “Robust H control of distributed delay systems with application to combustion control,” Institute of Electrical and Electronics Engineers. Transactions on Automatic Control, vol. 46, no. 12, pp. 1930–1935, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  20. Z. Wang, G. Wei, and G. Feng, “Reliable H control for discrete-time piecewise linear systems with infinite distributed delays,” Automatica, vol. 45, no. 12, pp. 2991–2994, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  21. Z. Wang, Y. Liu, G. Wei, and X. Liu, “A note on control of a class of discrete-time stochastic systems with distributed delays and nonlinear disturbances,” Automatica, vol. 46, no. 3, pp. 543–548, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  22. G. Wei, G. Feng, and Z. Wang, “Robust H control for discrete-time fuzzy systems with infinite-distributed delays,” IEEE Transactions on Fuzzy Systems, vol. 17, no. 1, pp. 224–232, 2009.
  23. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, vol. 15, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, Pa, USA, 1994. View at Publisher · View at Google Scholar
  24. Y. Liu, Z. Wang, J. Liang, and X. Liu, “Synchronization and state estimation for discrete-time complex networks with distributed delays,” Transactions on Systems, Man and Cybernetics B, vol. 38, no. 5, pp. 1314–1325, 2008.
  25. F. Yang, Z. Wang, Y. S. Hung, and M. Gani, “H control for networked systems with random communication delays,” IEEE Transactions on Automatic Control, vol. 51, no. 3, pp. 511–518, 2006. View at Publisher · View at Google Scholar