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Mathematical Problems in Engineering
Volume 2013, Article ID 856914, 12 pages
http://dx.doi.org/10.1155/2013/856914
Research Article

Fault Detection for a Class of Uncertain Linear Systems

School of Automation Engineering, Northeast Dianli University, Jilin 132012, China

Received 3 July 2013; Accepted 15 August 2013

Academic Editor: Bochao Zheng

Copyright © 2013 Qingyu Su and Jian Li. 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. J. Chen and P. R. Patton, Robust Model-Based Fault Diagnosis For Dynamic Systems, Kluwer Academic Publishers, Boston, Mass, USA.
  2. T. Li, L. Guo, and L. Y. Wu, “Observer-based optimal fault detection using PDFs for time-delay stochastic systems,” Nonlinear Analysis: Real World Applications, vol. 9, no. 5, pp. 2337–2349, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  3. I. Hwang, S. Kim, Y. Kim, and C. E. Seah, “A survey of fault detection, isolation, and reconfiguration methods,” IEEE Transactions on Control Systems Technology, vol. 18, no. 3, pp. 636–653, 2010. View at Publisher · View at Google Scholar · View at Scopus
  4. E. G. Nobrega,, M. O. Abdalla, and K. M. Grigoriadis, “LMI-based filter design for fault detection and isolation,” in Proceedings of the 39th IEEE Confernce on Decision and Control (CDC '00), pp. 4329–4334, Sydney, Australia, December 2000. View at Scopus
  5. T. Li and L. Guo, “Optimal fault-detection filtering for non-Gaussian systems via output PDFs,” IEEE Transactions on Systems, Man, and Cybernetics A, vol. 39, no. 2, pp. 476–481, 2009. View at Publisher · View at Google Scholar · View at Scopus
  6. W. Li, F. Jiang, Z. Wang, G. Zhou, and Z. Zhu, “Fault detection of Markov jumping linear systems,” Mathematical Problems in Engineering, vol. 2012, Article ID 141867, 27 pages, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  7. M. Hou and R. J. Patton, “A LMI approach to H-/H fault detection observers,” in Proceedings of the UKACC International Conference on Control, pp. 305–310, London, UK, September 1996. View at Scopus
  8. I. M. Jaimoukha, Z. Li, and V. Papakos, “A matrix factorization solution to the H-/H fault detection problem,” Automatica, vol. 42, no. 11, pp. 1907–1912, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  9. X. Li and H. H. T. Liu, “Minimum system sensitivity study of linear discrete time systems for fault detection,” Mathematical Problems in Engineering, vol. 2013, Article ID 276987, 13 pages, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  10. X. J. Cai and F. Wu, “Robust fault detection and isolation for parameter-dependent LFT systems,” International Journal of Robust and Nonlinear Control, vol. 20, no. 7, pp. 764–776, 2010. View at Publisher · View at Google Scholar · View at MathSciNet
  11. M. Barenthin, X. Bombois, H. Hjalmarsson, and G. Scorletti, “Identification for control of multivariable systems: controller validation and experiment design via LMIs,” Automatica, vol. 44, no. 12, pp. 3070–3078, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  12. R. D. Braatz and O. D. Crisalle, “Robustness analysis for systems with ellipsoidal uncertainty,” International Journal of Robust and Nonlinear Control, vol. 8, no. 13, pp. 1113–1117, 1998. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  13. X. Bombois, M. Gevers, G. Scorletti, and B. D. O. Anderson, “Robustness analysis tools for an uncertainty set obtained by prediction error identification,” Automatica, vol. 37, no. 10, pp. 1629–1636, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  14. X. Bombois, H. Hjalmarsson, and G. Scorletti, “Identification for robust H2 deconvolution filtering,” Automatica, vol. 46, no. 3, pp. 577–584, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  15. A. Sadeghzadeh and H. Momeni, “Fixed-order robust H control and control-oriented uncertainty set shaping for systems with ellipsoidal parametric uncertainty,” International Journal of Robust and Nonlinear Control, vol. 21, no. 6, pp. 648–665, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  16. G.-H. Yang and H. Wang, “Fault detection for a class of uncertain state-feedback control systems,” IEEE Transactions on Control Systems Technology, vol. 18, no. 1, pp. 201–212, 2010. View at Publisher · View at Google Scholar · View at Scopus
  17. T. Iwasaki, S. Hara, and H. Yamauchi, “Dynamical system design from a control perspective: finite frequency positive-realness approach,” IEEE Transactions on Automatic Control, vol. 48, no. 8, pp. 1337–1354, 2003. View at Publisher · View at Google Scholar · View at MathSciNet
  18. X. J. Li and G. H. Yang, “Fault detection filter design for stochastic time-delay systems with sensor faults,” International Journal of Systems Science, vol. 43, no. 8, 2012. View at Publisher · View at Google Scholar
  19. K. Hu and J. Yuan, “Improved robust H filtering for uncertain discrete-time switched systems,” IET Control Theory & Applications, vol. 3, no. 3, pp. 315–324, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  20. X. J. Li, Research on robust adaptive fault detection and isolation approaches [Ph.D. thesis], Northeastern University, Liaoning, China.
  21. P. M. Frank and X. Ding, “Frequency domain approach to optimally robust residual generation and evaluation for model-based fault diagnosis,” Automatica, vol. 30, no. 5, pp. 789–804, 1994. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  22. S. Boyd and C. Barratt, Linear Controller Design: Limites of Performance, Prentice Hall, Englewood Cliffs, NJ, USA, 1991.