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Discrete Dynamics in Nature and Society
Volume 2015, Article ID 867206, 13 pages
http://dx.doi.org/10.1155/2015/867206
Research Article

Fault Detection for Linear Discrete Time-Varying Descriptor Systems with Missing Measurements

Clean Energy Research and Technology Promotion Center, Dezhou University, Dezhou 253023, China

Received 18 October 2014; Accepted 19 November 2014

Academic Editor: Zidong Wang

Copyright © 2015 Guangfu Deng and Huihong Zhao. 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. Mahapatro and P. M. Khilar, “Fault diagnosis in wireless sensor networks: a survey,” IEEE Communications Surveys and Tutorials, vol. 15, no. 4, pp. 2000–2026, 2013. View at Publisher · View at Google Scholar · View at Scopus
  2. S. X. Ding, Model-Based Fault Diagnosis Technique, Springer, Berlin, Germany, 2008.
  3. Q. Shen, B. Jiang, and P. Shi, “Adaptive fault diagnosis for T-S fuzzy systems with sensor faults and system performance analysis,” IEEE Transactions on Fuzzy Systems, vol. 22, no. 2, pp. 274–285, 2014. View at Publisher · View at Google Scholar · View at Scopus
  4. S. Zhang, K. R. Pattipati, Z. Hu, X. Wen, and C. Sankavaram, “Dynamic coupled fault diagnosis with propagation and observation delays,” IEEE Transactions on Systems, Man, and Cybernetics: Systems, vol. 43, no. 6, pp. 1424–1439, 2013. View at Publisher · View at Google Scholar · View at Scopus
  5. L. Yao, J. Qin, A. Wang, and H. Wang, “Fault diagnosis and fault-tolerant control for non-Gaussian non-linear stochastic systems using a rational square-root approximation model,” IET Control Theory & Applications, vol. 7, no. 1, pp. 116–124, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  6. N.-B. Hoang and H.-J. Kang, “A model-based fault diagnosis scheme for wheeled mobile robots,” International Journal of Control, Automation and Systems, vol. 12, no. 3, pp. 637–651, 2014. View at Publisher · View at Google Scholar · View at Scopus
  7. J. Chen and R. J. Patton, “Optimal filtering and robust fault diagnosis of stochastic systems with unknown disturbances,” IEE Proceedings—Control Theory and Applications, vol. 143, no. 1, pp. 31–36, 1996. View at Google Scholar
  8. W. H. Chung and J. L. Speyer, “A game-theoretic fault detection filter,” IEEE Transactions on Automatic Control, vol. 43, no. 2, pp. 143–161, 1998. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  9. R. H. Chen and J. L. Speyer, “Residual-sensitive fault detection filter,” in Proceedings of the 7th IEEE Mediterranean Conference on Control and Automation, pp. 835–851, Haifa, Israel, 1999.
  10. R. H. Chen and J. L. Speyer, “Optimal stochastic fault detection filter,” in Proceedings of the American Control Conference, pp. 91–96, San Diego, Calif, USA, June 1999. View at Scopus
  11. R. H. Chen and J. L. Speyer, “Optimal stochastic multiple-fault detection filter,” in Proceedings of the 38th Conference on Decision and Control, pp. 4965–4970, Phoenix, Ariz, USA, 1999.
  12. R. H. Chen and J. L. Speyer, “A generalized least-squares fault detection filter,” International Journal of Adaptive Control and Signal Processing, vol. 14, no. 7, pp. 747–757, 2000. View at Google Scholar
  13. R. H. Chen and J. L. Speyer, “Robust multiple-fault detection filter,” International Journal of Robust and Nonlinear Control, vol. 12, no. 8, pp. 675–696, 2002. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  14. A. P. Xu and Q. H. Zhang, “Fault detection and isolation based on adaptive observers for linear time varying systems,” in Proceedings of the 15th Triennial World Congress of the International Federation of Automatic Control, Barcelona, Spain, 2002.
  15. F. Gustafsson, “Stochastic fault diagnosability in parity spaces,” in Proceedings of the 15th Triennial World Congress of the International Federation of Automatic Control, Barcelona, Spain, 2002.
  16. R. H. Chen, D. L. Mingori, and J. L. Speyer, “Optimal stochastic fault detection filter,” Automatica, vol. 39, no. 3, pp. 377–390, 2003. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  17. A. Xu and Q. Zhang, “Residual generation for fault diagnosis in linear time-varying systems,” IEEE Transactions on Automatic Control, vol. 49, no. 5, pp. 767–772, 2004. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  18. Q. H. Zhang, “An adaptive observer for sensor fault estimation in linear time varying systems,” in Proceedings of the 16th IFAC World Congress, Prague, Czech Republic, 2005.
  19. C. Combastel and Q. Zhang, “Robust fault diagnosis based on adaptive estimation and set-membership computations,” in Proceedings of the 6th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes (SAFEPROCESS '06), pp. 1273–1278, Beijing, China, September 2006. View at Scopus
  20. X. Li and K. Zhou, “A time domain approach to robust fault detection of linear time-varying systems,” in Proceedings of the 46th IEEE Conference on Decision and Control (CDC '07), pp. 1015–1020, New Orleans, La, USA, December 2007. View at Publisher · View at Google Scholar · View at Scopus
  21. F. Gustafsson, “Statistical signal processing approaches to fault detection,” Annual Reviews in Control, vol. 31, no. 1, pp. 41–54, 2007. View at Publisher · View at Google Scholar · View at Scopus
  22. C. Combastel, Q. H. Zhang, and A. Lalami, “Fault diagnosis based on the enclosure of parameters estimated with an adaptive observer,” in Proceedings of the 17th World Congress the International Federation of Automatic Control, pp. 7314–7319, Seoul, South Korea, 2008.
  23. H. Gao, T. Chen, and L. Wang, “Robust fault detection with missing measurements,” International Journal of Control, vol. 81, no. 5, pp. 804–819, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  24. Y. Long and G.-H. Yang, “Fault detection in finite frequency domain for networked control systems with missing measurements,” Journal of the Franklin Institute, vol. 350, no. 9, pp. 2605–2626, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  25. P. Zhang, S. X. Ding, and P. M. Frank, “Fault detection of networked control systems with missing measurements,” in Proceedings of the 5th Asian Control Conference, pp. 1258–1263, IEEE Press, New York, NY, USA, 2004.
  26. J. Y. Ishihara, M. H. Terra, and J. P. Silva, “H estimation for rectangular discrete-time descriptor systems,” in Proceedings of the American Control Conference, pp. 5650–5654, Minneapolis, Minn, USA, June 2006. View at Scopus
  27. H. Zhao, C. Zhang, and G. Xing, “H filtering and smoothing for linear discrete time-varying descriptor systems with unknown inputs,” IET Control Theory & Applications, vol. 6, no. 5, pp. 734–743, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  28. 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 · View at Scopus