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Journal of Applied Mathematics
Volume 2013 (2013), Article ID 829715, 12 pages
http://dx.doi.org/10.1155/2013/829715
Research Article

Robust Fault Detection of Linear Uncertain Time-Delay Systems Using Unknown Input Observers

1Electrical Engineering Department, Iran University of Science and Technology, Narmak, Tehran 16846, Iran
2Department of Electrical and Electronic Engineering, Shiraz University of Technology, Shiraz 71557-13876, Iran
3Department of Engineering, Faculty of Engineering and Science, University of Agder, 4898 Grimstad, Norway

Received 18 July 2013; Accepted 13 September 2013

Academic Editor: Baocang Ding

Copyright © 2013 Saeed Ahmadizadeh 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. L. Zhang, E.-K. Boukas, L. Baron, and H. R. Karimi, “Fault detection for discrete-time Markov jump linear systems with partially known transition probabilities,” International Journal of Control, vol. 83, no. 8, pp. 1564–1572, 2010. View at Publisher · View at Google Scholar · View at Scopus
  2. D. Dongsheng, B. Jiang, P. Shi, and H. R. Karimi, “Fault detection for continues-time switched systems under asynchronous switching,” International Journal of Robust and Nonlinear Control, 2013. View at Publisher · View at Google Scholar
  3. J. Yu, G. Sun, and H. R. Karimi, “Fault reconstruction based cascaded sliding mode observers for descriptor linear systems,” Mathematical Problems in Engineering, vol. 2012, Article ID 623426, 20 pages, 2012. View at Publisher · View at Google Scholar
  4. S. Yin, X. Yang, and H. R. Karimi, “Data-driven adaptive observer for fault diagnosis,” Mathematical Problems in Engineering, vol. 2012, Article ID 832836, 21 pages, 2012. View at Publisher · View at Google Scholar
  5. J. Chen and R. J. Patton, Robust Model-Based Fault Diagnosis for Dynamic Systems, Kluwer Academic Publishers, 1999.
  6. J. Guo, X. Huang, and Y. Cui, “Design and analysis of robust fault detection filter using LMI tools,” Computers and Mathematics with Applications, vol. 57, no. 11-12, pp. 1743–1747, 2009. View at Publisher · View at Google Scholar · View at Scopus
  7. M. Zhong, S. X. Ding, T. Bingyong, T. Jeinsch, and M. Sader, “An LMI approach to design robust fault detection observers,” in Proceedings of the 4th World Congress on Intelligent Control and Automation, pp. 2705–2709, June 2002. View at Scopus
  8. M. Zhong, S. X. Ding, J. Lam, and H. Wang, “An LMI approach to design robust fault detection filter for uncertain LTI systems,” Automatica, vol. 39, no. 3, pp. 543–550, 2003. View at Publisher · View at Google Scholar · View at Scopus
  9. T. Li, L. Wu, and X. Wei, “Robust fault detection filter design for uncertain LTI systems based on new bounded real lemma,” International Journal of Control, Automation and Systems, vol. 7, no. 4, pp. 644–650, 2009. View at Publisher · View at Google Scholar · View at Scopus
  10. M. Zhong, S. X. Ding, J. Lam, and C. Zhang, “Fault detection filter design for LTI system with time delays,” in Proceedings of the 42nd IEEE Conference on Decision and Control, pp. 1467–1472, December 2003. View at Scopus
  11. L. Bai, Z. Tian, and S. Shi, “Design of H robust fault detection filter for linear uncertain time-delay systems,” ISA Transactions, vol. 45, no. 4, pp. 491–502, 2006. View at Google Scholar · View at Scopus
  12. M. Zhong, H. Ye, T. Sun, and G. Wang, “An iterative LMI approach to RFDF for linear system with time-varying delays,” Asian Journal of Control, vol. 8, no. 1, pp. 86–90, 2006. View at Google Scholar · View at Scopus
  13. H. Wang, C. Wang, and H. Gao, “An LMI approach to robust fault detection filter design for uncertain state-delayed systems,” in Advances in Machine Learning and Cybernetics, vol. 3930 of Lecture Notes in Computer Science, pp. 112–121, 2006. View at Google Scholar
  14. H. R. Karimi, M. Zapateiro, and N. Luo, “A linear matrix inequality approach to robust fault detection filter design of linear systems with mixed time-varying delays and nonlinear perturbations,” Journal of the Franklin Institute, vol. 347, no. 6, pp. 957–973, 2010. View at Publisher · View at Google Scholar · View at Scopus
  15. M. Witczak, A. Obuchowicz, and J. Korbicz, “Genetic programming based approaches to identification and fault diagnosis of non-linear dynamic systems,” International Journal of Control, vol. 75, no. 13, pp. 1012–1031, 2002. View at Publisher · View at Google Scholar · View at Scopus
  16. G.-R. Duan and R. J. Patton, “Robust fault detection using Luenberger-type unknown input observers—a parametric approach,” International Journal of Systems Science, vol. 32, no. 4, pp. 533–540, 2001. View at Google Scholar · View at Scopus
  17. P. M. Frank and X. Ding, “Survey of robust residual generation and evaluation methods in observer-based fault detection systems,” Journal of Process Control, vol. 7, no. 6, pp. 403–424, 1997. View at Google Scholar · View at Scopus
  18. S. Ahmadizadeh, J. Zarei, and H. R. Karimi, “Robust unknown input observer design for linear uncertain time delay systems with application to fault detection,” Asian Journal of Control, vol. 16, pp. 1–14, 2014. View at Google Scholar
  19. W. Chen and M. Saif, “Fault detection and isolation based on novel unknown input observer design,” in Proceedings of the American Control Conference, pp. 5129–5134, June 2006. View at Scopus
  20. S. Mondal, G. Chakraborty, and K. Bhattacharyya, “LMI approach to robust unknown input observer design for continuous systems with noise and uncertainties,” International Journal of Control, Automation and Systems, vol. 8, no. 2, pp. 210–219, 2010. View at Publisher · View at Google Scholar · View at Scopus
  21. G.-Y. Tang and J. Li, “Optimal fault diagnosis for systems with delayed measurements,” IET Control Theory and Applications, vol. 2, no. 11, pp. 990–998, 2008. View at Publisher · View at Google Scholar · View at Scopus
  22. Y.-M. Fu, G.-R. Duan, and S.-M. Song, “Design of unknown input observer for linear time-delay systems,” International Journal of Control, Automation and Systems, vol. 2, no. 4, pp. 530–535, 2004. View at Google Scholar · View at Scopus