Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 890512, 15 pages
http://dx.doi.org/10.1155/2012/890512
Research Article

Estimation for Stochastic Nonlinear Systems with Randomly Distributed Time-Varying Delays and Missing Measurements

1School of Information Science and Technology, Donghua University, Shanghai 201620, China
2Department of Electronics and Information Engineering, Putian University, Putian 351100, China

Received 21 June 2012; Accepted 6 September 2012

Academic Editor: Zidong Wang

Copyright © 2012 Yan Che 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. M. F. Bugallo and S. Xu, “Performance comparison of EKF and particle filtering methods for maneuvering targets,” Digital Signal Processing, vol. 17, no. 4, pp. 774–786, 2007. View at Google Scholar
  2. C. Chen, H. Liu, and X. Guan, “H filtering of time-delay T-S fuzzy systems based on piecewise Lyapunov-Krasovskii functional,” Signal Processing, vol. 89, no. 10, pp. 1998–2005, 2009. View at Google Scholar
  3. O. Costa, “Stationary filter for linear minimum means quare error estimator of discretetime markovian jump systems,” IEEE Transactions on Automatic Control, vol. 48, no. 8, pp. 1351–1356, 2002. View at Google Scholar
  4. H. Gao, J. Lam, L. Xie, and C. Wang, “New approach to mixed H2/H filtering for polytopic discrete-time systems,” IEEE Transactions on Signal Processing, vol. 53, no. 8, pp. 3183–3192, 2005. View at Publisher · View at Google Scholar
  5. H. Gao and C. Wang, “A delay-dependent approach to robust H filtering for uncertain discrete-time state-delayed systems,” IEEE Transactions on Signal Processing, vol. 52, no. 6, pp. 1631–1640, 2004. View at Publisher · View at Google Scholar
  6. H. Gao, J. Lam, C. Wang, and S. Xu, “Robust H filtering for 2D stochastic systems,” Circuits, Systems, and Signal Processing, vol. 23, no. 6, pp. 479–505, 2004. View at Publisher · View at Google Scholar
  7. H. Gao, J. Lam, and C. Wang, “Robust energy-to-peak filter design for stochastic time-delay systems,” Systems & Control Letters, vol. 55, no. 2, pp. 101–111, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  8. W. Zhou, H. Su, and J. Chu, “Delay-dependent H1 filtering for singular Markovian jump time-delay systems,” Signal Processing, vol. 90, no. 6, pp. 1815–1824, 2010. View at Google Scholar
  9. A. Subramanian and A. H. Sayed, “Multiobjective filter design for uncertain stochastic time-delay systems,” IEE E Transactions on Automatic Control, vol. 49, no. 1, pp. 149–154, 2004. View at Publisher · View at Google Scholar
  10. 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
  11. B. Shen, Z. Wang, H. Shu, and G. Wei, “On nonlinear H filtering for discrete-time stochastic systems with missing measurements,” IEEE Transactions on Automatic Control, vol. 53, no. 9, pp. 2170–2180, 2008. View at Publisher · View at Google Scholar
  12. G. Wei, Z. Wang, X. He, and H. Shu, “Filtering for networked stochastic time-delay systems with sector nonlinearity,” IEEE Transactions on Circuits and Systems-II, vol. 56, no. 1, pp. 71–75, 2009. View at Google Scholar
  13. Z. Wang, J. Lam, L. Ma, Y. Bo, and Z. Guo, “Variance-constrained dissipative observer-based control for a class of nonlinear stochastic systems with degraded measurements,” Journal of Mathematical Analysis and Applications, vol. 377, no. 2, pp. 645–658, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  14. Z. Wang, F. Yang, D. W. C. Ho, and X. Liu, “Robust H filtering for stochstic time-delay systems with missing measurements,” IEEE Transactions on Signal Processing, vol. 54, no. 7, pp. 2579–2587, 2006. View at Google Scholar
  15. B. Shen, Z. Wang, and Y. S. Hung, “Distributed H-consensus filtering in sensor networks with multiple missing measurements: the finite-horizon case,” Automatica, vol. 46, no. 10, pp. 1682–1688, 2010. View at Publisher · View at Google Scholar
  16. Q. Ling and M. D. Lemmon, “Optimal dropout compensation in networked control systems,” in Proceedings of the IEEE Conference on Decosion and Control, pp. 670–675, Honolulu, Hawaii, USA, 2003.
  17. B. Sinopoli, L. Schenato, M. Franceschetti, K. Poolla, M. I. Jordan, and S. S. Sastry, “Kalman filtering with intermittent observations,” IEEE Transactions on Automatic Control, vol. 49, no. 9, pp. 1453–1464, 2004. View at Publisher · View at Google Scholar
  18. Y. Che, H. Shu, and Z. Wang, “Nonlinear systems filtering with missing measurements and randomly distributed delays,” Journal of Harbin University of Science and Technology, vol. 16, no. 6, pp. 36–41, 2011. View at Google Scholar
  19. Z. Wang, B. Shen, H. Shu, and G. Wei, “Quantized H-infinity control for nonlinear stochastic time-delay systems with missing measurements,” IEEE Transactions on Automatic Control, vol. 57, no. 6, pp. 1431–1444, 2012. View at Google Scholar
  20. Z. Wang, B. Shen, and X. Liu, “H filtering with randomly occurring sensor saturations and missing measurements,” Automatica, vol. 48, no. 3, pp. 556–562, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  21. B. Shen, Z. Wang, J. Liang, and Y. Liu, “Recent advances on filtering and control for nonlinear stochastic complex systems with incomplete information: a survey,” Mathematical Problems in Engineering, vol. 2012, Article ID 530759, 16 pages, 2012. View at Publisher · View at Google Scholar
  22. H. Dong, Z. Wang, and H. Gao, “Distributed filtering for a class of time-varying systems over sensor networks with quantization errors and successive packet dropouts,” IEEE Transactions on Signal Processing, vol. 60, no. 6, pp. 3164–3173, 2012. View at Google Scholar
  23. V. Kapila and W. M. Haddad, “Memoryless H1 controllers for discrete-time systems with time delay,” Automatica, vol. 34, no. 8, pp. 1141–1144, 1998. View at Google Scholar
  24. J. H. Kim and H. B. Park, “H state feedback control for generalized continuous/discrete time-delay system,” Automatica, vol. 35, no. 8, pp. 1443–1451, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  25. C. E. de Souza and X. Li, “Delay-dependent robust H control of uncertain linear state-delayed systems,” Automatica, vol. 35, no. 7, pp. 1313–1321, 1999. View at Publisher · View at Google Scholar
  26. E. Fridman and U. Shaked, “A descriptor system approach to H control of linear time-delay systems,” IEEE Transactions on Automatic Control, vol. 47, no. 2, pp. 253–270, 2002. View at Publisher · View at Google Scholar
  27. E. Fridman and U. Shaked, “An improved stabilization method for linear time-delay systems,” IEEE Transactions on Automatic Control, vol. 47, no. 11, pp. 1931–1937, 2002. View at Publisher · View at Google Scholar
  28. Y. S. Moon, P. Park, W. H. Kwon, and Y. S. Lee, “Delay-dependent robust stabilization of uncertain state-delayed systems,” International Journal of Control, vol. 74, no. 14, pp. 1447–1455, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  29. Y. Zhang, S. Xu, Y. Zou, and J. Lu, “Delay-dependent robust stabilization for uncertain discrete-time fuzzy Markovian jump systems with mode-dependent time delays,” Fuzzy Sets and Systems, vol. 164, no. 1, pp. 66–81, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  30. Z.-W. Liu and H.-G. Zhang, “Delay-dependent stability for systems with fast-varying neutral-type delays via a PTVD compensation,” Acta Automatica Sinica, vol. 36, no. 1, pp. 147–152, 2010. View at Publisher · View at Google Scholar
  31. D. Yue and H. Li, “Synchronization stability of continuous/discrete complex dynamical networks with interval time-varying delays,” Neurocomputing, vol. 73, pp. 4809–6819, 2010. View at Google Scholar
  32. Y. Liu, Z. Wang, and X. Liu, “Robust H filtering for discrete nonlinear stochastic systems with time-varying delay,” Journal of Mathematical Analysis and Applications, vol. 341, no. 1, pp. 318–336, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  33. S. Xu, J. Lam, and C. Yang, “H and positive-real control for linear neutral delay systems,” IEEE Transactions on Automatic Control, vol. 46, no. 8, pp. 1321–1326, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  34. R. Rakkiyappan and P. Balasubramaniam, “Delay-probability-distribution-dependent stability of uncertain stochastic genetic regulatory networks with mixed time-varying delays: an LMI approach,” Nonlinear Analysis. Hybrid Systems, vol. 4, no. 3, pp. 600–607, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  35. Y. Liu, Z. Wang, and X. Liu, “State estimation for discrete-time Markovian jumping neural networks with mixed mode-dependent delays,” Physics Letters A, vol. 372, no. 48, pp. 7147–7155, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  36. H. Shu, Z. Wang, and Z. Lü, “Global asymptotic stability of uncertain stochastic bi-directional associative memory networks with discrete and distributed delays,” Mathematics and Computers in Simulation, vol. 80, no. 3, pp. 490–505, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  37. C. Scherer, P. Gahinet, and M. Chilali, “Multiobjective output-feedback control via LMI optimization,” IEEE Transactions on Automatic Control, vol. 42, no. 7, pp. 896–911, 1997. View at Publisher · View at Google Scholar · View at Zentralblatt MATH