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Mathematical Problems in Engineering
Volume 2014, Article ID 358601, 10 pages
http://dx.doi.org/10.1155/2014/358601
Research Article

On Fault Estimator Design for Linear Discrete Time-Varying Systems under Unreliable Communication Link

1School of Electrical Engineering, University of Jinan, Jinan 250022, China
2School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798
3School of Control Science and Engineering, Shandong University, Jinan 250061, China

Received 24 April 2014; Revised 3 July 2014; Accepted 6 July 2014; Published 17 July 2014

Academic Editor: Weihai Zhang

Copyright © 2014 Yueyang 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. M. Blanke, M. Kinnart, and J. Lunze, Diagnosis and Fault-Tolerant Control, Springer, Berlin, Germany, 2006.
  2. S. X. Ding, Model-based Fault Diagnosis Techniques, Springer, Berlin, Germany, 2008.
  3. M. Chadli, A. Abdo, and S. X. Ding, “H-/H fault detection filter design for discrete-time Takagi-Sugeno fuzzy system,” Automatica, vol. 49, no. 7, pp. 1996–2005, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  4. R. M. G. Ferrari, M. M. Polycarpou, and T. Parisini, “Distributed fault detection and isolation of large-scale discrete-time nonlinear systems: an adaptive approximation approach,” IEEE Transaction on Automatic Control, vol. 57, no. 2, pp. 275–290, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  5. J. Cai, C. Wen, H. Su, and Z. Liu, “Robust adaptive failure compensation of hysteretic actuators for a class of uncertain nonlinear systems,” IEEE Transactions on Automatic Control, vol. 58, no. 9, pp. 2388–2394, 2013. View at Publisher · View at Google Scholar · View at Scopus
  6. J. Liu and D. Yue, “Event-based fault detection for networked systems with communication delay and nonlinear perturbation,” Journal of the Franklin Institute, vol. 350, no. 9, pp. 2791–2807, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  7. N. Meskin and K. Khorasani, “Robust fault detection and isolation of time-delay systems using a geometric approach,” Automatica, vol. 45, no. 6, pp. 1567–1573, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  8. A. Casavola, D. Famularo, and G. Franz, “A robust deconvolution scheme for fault detection and isolation of uncertain linear systems: an {LMI} approach,” Automatica, vol. 41, no. 8, pp. 1463–1472, 2005. View at Publisher · View at Google Scholar · View at MathSciNet
  9. Y. Zhang, H. Fang, and Z. Liu, “Fault detection for nonlinear networked control systems with Markov data transmission pattern,” Circuits, Systems, and Signal Processing, vol. 31, no. 4, pp. 1343–1358, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  10. Y. Zhang, Z. Liu, H. Fang, and H. Chen, “H fault detection for nonlinear networked systems with multiple channels data transmission pattern,” Information Sciences, vol. 221, no. 1, pp. 534–543, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  11. X. Li and K. Zhou, “A time domain approach to robust fault detection of linear time-varying systems,” Automatica, vol. 45, no. 1, pp. 94–102, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  12. M. Zhong, S. X. Ding, and E. L. Ding, “Optimal fault detection for linear discrete time-varying systems,” Automatica, vol. 46, no. 8, pp. 1395–1400, 2010. View at Publisher · View at Google Scholar · View at MathSciNet
  13. M. Zhong, S. Liu, and H. Zhao, “Krein space-based H fault estimation for linear discrete time-varying systems,” Acta Automatica Sinica, vol. 34, no. 12, pp. 1529–1533, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  14. M. Zhong, D. Zhou, and S. X. Ding, “On designing H fault detection filter for linear discrete time-varying systems,” IEEE Transaction on Automatic Control, vol. 55, no. 7, pp. 1689–1695, 2010. View at Publisher · View at Google Scholar · View at MathSciNet
  15. B. Shen, S. X. Ding, and Z. Wang, “Finite-horizon H fault estimation for linear discrete time-varying systems with delayed measurements,” Automatica, vol. 49, no. 1, pp. 293–296, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  16. H. Zhang, L. Xie, D. Zhang, and Y. C. Soh, “A reorganized innovation approach to linear estimation,” IEEE Transactions on Automatic Control, vol. 49, no. 10, pp. 1810–1814, 2004. View at Publisher · View at Google Scholar · View at MathSciNet
  17. H. Zhang, L. Xie, Y. C. Soh, and D. Zhang, “H fixed-lag smoothing for discrete linear time-varying system,” Automatica, vol. 41, no. 5, pp. 839–846, 2005. View at Publisher · View at Google Scholar · View at MathSciNet
  18. H. Zhang, G. Feng, and C. Han, “Linear estimation for random delay systems,” Systems and Control Letters, vol. 60, no. 7, pp. 450–459, 2011. View at Publisher · View at Google Scholar · View at Scopus
  19. H. Zhang, X. Lu, W. Zhang, and W. Wang, “Kalman filtering for linear time-delayed continuous-time systems with stochastic multiplicative noises,” International Journal of Control, Automation and Systems, vol. 5, no. 4, pp. 355–363, 2007. View at Google Scholar · View at Scopus
  20. H. Zhang and L. Xie, Control and Estimation of Systems with Input/Output Delays, Springer, Berlin , Germany, 2007. View at MathSciNet
  21. B. Hassibi, A. H. Sayed, and T. Kailath, “Linear estimation in Krein spaces. I. Theory,” IEEE Transactions on Automatic Control, vol. 41, no. 1, pp. 18–33, 1996. View at Publisher · View at Google Scholar · View at MathSciNet
  22. H. Dong, Z. Wang, and H. Gao, “On design of quantized fault detection filters with randomly occurring nonlinearities and mixed time-delays,” Signal Processing, vol. 92, no. 4, pp. 1117–1125, 2012. View at Publisher · View at Google Scholar · View at Scopus
  23. J. Yu, M. Liu, W. Yang, and P. Shi, “Robust fault detection for Markovian jump systems with unreliable communication links,” International Journal of Systems Science, vol. 44, no. 11, pp. 2015–2026, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  24. X. Wan, H. Fang, and F. Yang, “Fault detection for a class of networked nonlinear systems subject to imperfect measurements,” International Journal of Control, Automation, and Systems, vol. 10, no. 2, pp. 265–274, 2013. View at Google Scholar
  25. D. Zhang, Q. Wang, L. Yu, and H. Song, “Fuzzy-model-based fault detection for a class of nonlinear systems with networked measurements,” IEEE Transactions on Instrumentation and Measurement, vol. 62, no. 12, pp. 3148–3159, 2013. View at Publisher · View at Google Scholar · View at Scopus
  26. S. M. M. Alavi and M. Saif, “Fault detection in nonlinear stable systems over lossy networks,” IEEE Transactions on Control Systems Technology, vol. 21, no. 6, pp. 2129–2142, 2013. View at Publisher · View at Google Scholar · View at Scopus
  27. Y. Y. Li and M. Y. Zhong, “Designing robust H fault detection filter for linear discrete time-varying systems with multiple packet dropouts,” Acta Automatica Sinica, vol. 36, no. 12, pp. 1788–1796, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  28. Y. Li, S. Liu, and Z. Wang, “Fault detection for linear discrete time-varying systems with measurement packet dropping,” Mathematical Problems in Engineering, vol. 2013, Article ID 697345, 9 pages, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  29. J. Nilsson, Real-time control systems with delays [Ph.D. dissertation], Lund institute of Technology, 1998.
  30. A. A. Stoorvogel, H. H. Niemann, A. Saberi, and B. Sannuti, “Optimal fault signal estimation,” International Journal of Robust and Nonlinear Control, vol. 12, no. 8, pp. 697–727, 2002. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  31. H. Zhao and C. Zhang, “H fixed-lag smoothing for linear discrete time-varying systems with uncertain observations,” Applied Mathematics and Computation, vol. 224, pp. 387–397, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  32. X. Lu, H. Zhang, and J. Yan, “On the H deconvolution fixed-lag smoothing,” International Journal of Control, Automation and Systems, vol. 8, no. 4, pp. 896–902, 2010. View at Publisher · View at Google Scholar · View at Scopus
  33. J. Ma and S. Sun, “Optimal linear estimators for systems with random sensor delays, multiple packet dropouts and uncertain observations,” IEEE Transactions on Signal Processing, vol. 59, no. 11, pp. 5181–5192, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  34. M. Moayedi, Y. K. Foo, and Y. C. Soh, “Adaptive Kalman filtering in networked systems with random sensor delays, multiple packet dropouts and missing measurements,” IEEE Transactions on Signal Processing, vol. 58, no. 3, pp. 1577–1588, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus