About this Journal Submit a Manuscript Table of Contents
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 868174, 11 pages
http://dx.doi.org/10.1155/2013/868174
Research Article

Robust Filtering for Networked Stochastic Systems Subject to Sensor Nonlinearity

1State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian, Liaoning 116024, China
2School of Electronic Science and Technology, Dalian University of Technology, Dalian, Liaoning 116024, China

Received 4 November 2012; Accepted 19 December 2012

Academic Editor: Ligang Wu

Copyright © 2013 Guoqiang Wu 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. Liu, D. W. C. Ho, and Y. Niu, “Stabilization of Markovian jump linear system over networks with random communication delay,” Automatica, vol. 45, no. 2, pp. 416–421, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  2. M. Liu, D. W. C. Ho, and Y. Niu, “Robust filtering design for stochastic system with mode-dependent quantization output,” IEEE Transactions on Signal Processing, vol. 58, no. 12, pp. 6410–6416, 2010. View at Zentralblatt MATH · View at MathSciNet
  3. L. Wu, X. Su, P. Shi, and J. Qiu, “Model approximation for discrete-time state-delay systems in the T–S fuzzy framework,” IEEE Transactions on Fuzzy Systems, vol. 19, no. 2, pp. 366–378, 2011. View at Publisher · View at Google Scholar · View at Scopus
  4. X. Su, P. Shi, L. Wu, and Y.-D. Song, “A novel approach to filter design for T–S fuzzy discrete-time systems with time-varying delay,” IEEE Transactions on Fuzzy Systems, vol. 20, no. 6, Article ID 6189779, pp. 1114–1129, 2012. View at Publisher · View at Google Scholar
  5. L. Wu and D. W. C. Ho, “Fuzzy filter design for nonlinear Itô stochastic systems with application to sensor fault detection,” IEEE Transactions on Fuzzy System, vol. 17, no. 1, pp. 233–242, 2009.
  6. L. Wu and D. W. C. Ho, “Sliding mode control of singular stochastic hybrid systems,” Automatica, vol. 46, no. 2, pp. 779–783, 2010. View at Zentralblatt MATH · View at MathSciNet
  7. L. Wu, P. Shi, H. Gao, and C. Wang, “H filtering for 2D Markovian jump systems,” Automatica, vol. 44, no. 7, pp. 1849–1858, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  8. L. Wu and W. X. Zheng, “L2-L control of nonlinear fuzzy itô stochastic delay systems via dynamic output feedback,” IEEE Transactions on Systems, Man, and Cybernetics B, vol. 39, no. 5, pp. 1308–1315, 2009. View at Scopus
  9. L. Wu, D. W. C. Ho, and C. W. Li, “Sliding mode control of switched hybrid systems with stochastic perturbation,” Systems & Control Letters, vol. 60, no. 8, pp. 531–539, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  10. G. Wu and J. Zhang, “Reliable passivity and passification for singular Markovian systems,” IMA Journal of Mathematical Control and Information, 2012. View at Publisher · View at Google Scholar
  11. M. Liu, Q. Wang, and H. Li, “State estimation and stabilization for nonlinear networked control systems with limited capacity channel,” Journal of the Franklin Institute, vol. 348, no. 8, pp. 1869–1885, 2011. View at Publisher · View at Google Scholar · View at MathSciNet
  12. S. Xu and T. Chen, “H output feedback control for uncertain stochastic systems with time-varying delays,” Automatica, vol. 40, no. 12, pp. 2091–2098, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  13. S. Endowed, “Recovery of signals distorted by sensor nonlinearity,” Journal of Dynamic Systems, Measurement and Control, vol. 126, no. 4, pp. 848–859, 2004. View at Scopus
  14. R. Pearson, “Gray-box modeling of nonideal sensors,” in Proceedings of the American Control Conference, vol. 6, pp. 4404–4409, Arlington, Va, USA, 2001.
  15. G. Kreisselmeier, “Stabilization of linear systems in the presence of output measurement saturation,” Systems & Control Letters, vol. 29, no. 1, pp. 27–30, 1996. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  16. E. Fridman and M. Dambrine, “Control under quantization, saturation and delay: an LMI approach,” Automatica, vol. 45, no. 10, pp. 2258–2264, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  17. S. Xu, J. Lam, and T. Chen, “Robust H control for uncertain discrete stochastic time-delay systems,” Systems & Control Letters, vol. 51, no. 3-4, pp. 203–215, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  18. Y. Niu, J. Lam, X. Wang, and D. W. C. Ho, “Observer-based sliding mode control for nonlinear state-delayed systems,” International Journal of Systems Science, vol. 35, no. 2, pp. 139–150, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  19. V. Kolmanovskii and A. Myshkis, Applied Theory of Functional Differential Equations, Kluwer Academic, Dordrecht, The Netherlands, 1992.