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Journal of Control Science and Engineering
Volume 2017 (2017), Article ID 7849841, 9 pages
https://doi.org/10.1155/2017/7849841
Research Article

Detection of Intermittent Fault for Discrete-Time Systems with Output Dead-Zone: A Variant Tobit Kalman Filtering Approach

Department of Automation, TNList, Tsinghua University, Beijing 100084, China

Correspondence should be addressed to Xiao He

Received 10 September 2016; Accepted 9 January 2017; Published 7 February 2017

Academic Editor: William MacKunis

Copyright © 2017 Jie Huang and Xiao He. 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. X. Sun, H. J. Marquez, T. Chen, and M. Riaz, “An improved PCA method with application to boiler leak detection,” ISA Transactions, vol. 44, no. 3, pp. 379–397, 2005. View at Publisher · View at Google Scholar · View at Scopus
  2. D. Diallo, M. E. H. Benbouzid, D. Hamad, and X. Pierre, “Fault detection and diagnosis in an induction machine drive: a pattern recognition approach based on concordia stator mean current vector,” IEEE Transactions on Energy Conversion, vol. 20, no. 3, pp. 512–519, 2005. View at Publisher · View at Google Scholar · View at Scopus
  3. J. Liu, “Shannon wavelet spectrum analysis on truncated vibration signals for machine incipient fault detection,” Measurement Science and Technology, vol. 23, no. 5, Article ID 055604, 2012. View at Publisher · View at Google Scholar · View at Scopus
  4. S. M. El-Shal and A. S. Morris, “A fuzzy expert system for fault detection in statistical process control of industrial processes,” IEEE Transactions on Systems, Man and Cybernetics Part C: Applications and Reviews, vol. 30, no. 2, pp. 281–289, 2000. View at Publisher · View at Google Scholar · View at Scopus
  5. B. Samanta, “Gear fault detection using artificial neural networks and support vector machines with genetic algorithms,” Mechanical Systems and Signal Processing, vol. 18, no. 3, pp. 625–644, 2004. View at Publisher · View at Google Scholar · View at Scopus
  6. L. B. Jack and A. K. Nandi, “Fault detection using support vector machines and artificial neural networks, augmented by genetic algorithms,” Mechanical Systems and Signal Processing, vol. 16, no. 2-3, pp. 373–390, 2002. View at Publisher · View at Google Scholar · View at Scopus
  7. P. V. J. Rodríguez, M. Negrea, and A. Arkkio, “A simplified scheme for induction motor condition monitoring,” Mechanical Systems and Signal Processing, vol. 22, no. 5, pp. 1216–1236, 2008. View at Publisher · View at Google Scholar · View at Scopus
  8. S. X. Ding, Model-based Fault Diagnosis Techniques: Design Schemes, Algorithms, and Tools, Springer, London, UK, 2nd edition, 2013.
  9. Z. Gao, X. Liu, and M. Z. Q. Chen, “Unknown input observer-based robust fault estimation for systems corrupted by partially decoupled disturbances,” IEEE Transactions on Industrial Electronics, vol. 63, no. 4, pp. 2537–2547, 2016. View at Publisher · View at Google Scholar · View at Scopus
  10. L. Wu, X. Yao, and W. X. Zheng, “Generalized H2 fault detection for two-dimensional Markovian jump systems,” Automatica, vol. 48, no. 8, pp. 1741–1750, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  11. S. Tong, B. Huo, and Y. Li, “Observer-based adaptive decentralized fuzzy fault-tolerant control of nonlinear large-scale systems with actuator failures,” IEEE Transactions on Fuzzy Systems, vol. 22, no. 1, pp. 1–15, 2014. View at Publisher · View at Google Scholar · View at Scopus
  12. S. Tong, T. Wang, and Y. Li, “Fuzzy adaptive actuator failure compensation control of uncertain stochastic nonlinear systems with unmodeled dynamics,” IEEE Transactions on Fuzzy Systems, vol. 22, no. 3, pp. 563–574, 2014. View at Publisher · View at Google Scholar · View at Scopus
  13. H. J. Yang, Y. Q. Xia, and B. Liu, “Fault detection for T-S fuzzy discrete systems in finite-frequency domain,” IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, vol. 41, no. 4, pp. 911–920, 2011. View at Publisher · View at Google Scholar · View at Scopus
  14. J. Blesa, P. Jiménez, D. Rotondo, F. Nejjari, and V. Puig, “An interval NLPV parity equations approach for fault detection and isolation of a wind farm,” IEEE Transactions on Industrial Electronics, vol. 62, no. 6, pp. 3794–3805, 2015. View at Publisher · View at Google Scholar · View at Scopus
  15. S. Tornil-Sin, C. Ocampo-Martinez, V. Puig, and T. Escobet, “Robust fault diagnosis of nonlinear systems using interval constraint satisfaction and analytical redundancy relations,” IEEE Transactions on Systems, Man, and Cybernetics: Systems, vol. 44, no. 1, pp. 18–29, 2014. View at Publisher · View at Google Scholar
  16. R. Isermann, “Fault diagnosis of machines via parameter estimation and knowledge processing—tutorial paper,” Automatica. A Journal of IFAC, the International Federation of Automatic Control, vol. 29, no. 4, pp. 815–835, 1993. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  17. J.-A. Jiang, J.-Z. Yang, Y.-H. Lin, C.-W. Liu, and J.-C. Ma, “An adaptive PMU based fault detection/location technique for transmission lines part I: theory and algorithms,” IEEE Transactions on Power Delivery, vol. 15, no. 2, pp. 486–493, 2000. View at Publisher · View at Google Scholar · View at Scopus
  18. X. He, Z. Wang, Y. Liu, and D. H. Zhou, “Least-squares fault detection and diagnosis for networked sensing systems using a direct state estimation approach,” IEEE Transactions on Industrial Informatics, vol. 9, no. 3, pp. 1670–1679, 2013. View at Publisher · View at Google Scholar · View at Scopus
  19. X. He, Z. Wang, X. Wang, and D. H. Zhou, “Networked strong tracking filtering with multiple packet dropouts: algorithms and applications,” IEEE Transactions on Industrial Electronics, vol. 61, no. 3, pp. 1454–1463, 2014. View at Publisher · View at Google Scholar · View at Scopus
  20. X. He, Z. Wang, L. Qin, and D. Zhou, “Active fault-tolerant control for an internet-based networked three-tank system,” IEEE Transactions on Control Systems Technology, vol. 24, no. 6, pp. 2150–2157, 2016. View at Publisher · View at Google Scholar · View at Scopus
  21. R. E. Kalman, “A new approach to linear filtering and prediction problems,” Journal of Basic Engineering, vol. 82, no. 1, pp. 35–45, 1960. View at Publisher · View at Google Scholar
  22. D.-H. Zhou, J.-T. Shi, and X. He, “Review of intermittent fault diagnosis techniques for dynamic systems,” Acta Automatica Sinica, vol. 40, no. 2, pp. 161–171, 2014. View at Publisher · View at Google Scholar · View at Scopus
  23. M. Chen, G. Xu, R. Yan, S. X. Ding, and D. Zhou, “Detecting scalar intermittent faults in linear stochastic dynamic systems,” International Journal of Systems Science, vol. 46, no. 8, pp. 1337–1348, 2015. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  24. X. He, Y. Hu, and K. Peng, “Intermittent fault detection for uncertain networked systems,” Mathematical Problems in Engineering, vol. 2013, Article ID 282168, 10 pages, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  25. R. Yan, X. He, and D. Zhou, “Detection of intermittent faults for linear stochastic systems subject to time-varying parametric perturbations,” IET Control Theory & Applications, vol. 10, no. 8, pp. 903–910, 2016. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  26. G. Tao and P. V. Kokotovic, “Adaptive control of plants with unknown dead-zones,” Institute of Electrical and Electronics Engineers. Transactions on Automatic Control, vol. 39, no. 1, pp. 59–68, 1994. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  27. G. Tao and P. V. Kokotović, “Discrete-time adaptive control of systems with unknown deadzones,” International Journal of Control, vol. 61, no. 1, pp. 1–17, 1995. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  28. H. Cho and E.-W. Bai, “Convergence results for an adaptive dead zone inverse,” International Journal of Adaptive Control and Signal Processing, vol. 12, no. 5, pp. 451–466, 1998. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  29. F. L. Lewis, W. K. Tim, L.-Z. Wang, and Z. X. Li, “Deadzone compensation in motion control systems using adaptive fuzzy logic control,” IEEE Transactions on Control Systems Technology, vol. 7, no. 6, pp. 731–742, 1999. View at Publisher · View at Google Scholar · View at Scopus
  30. R. R. Selmic and F. L. Lewis, “Deadzone compensation in motion control systems using neural networks,” Institute of Electrical and Electronics Engineers. Transactions on Automatic Control, vol. 45, no. 4, pp. 602–613, 2000. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  31. J. Tobin, “Estimation of relationships for limited dependent variables,” Econometrica, vol. 26, no. 1, pp. 24–36, 1958. View at Publisher · View at Google Scholar · View at MathSciNet
  32. B. Allik, C. Miller, M. J. Piovoso, and R. Zurakowski, “The Tobit Kalman filter: an estimator for censored measurements,” IEEE Transactions on Control Systems Technology, vol. 24, no. 1, pp. 365–371, 2016. View at Google Scholar
  33. B. Allik, C. Miller, M. J. Piovoso, and R. Zurakowski, “Nonlinear estimators for censored data: a comparison of the EKF, the UKF and the Tobit Kalman filter,” in Proceedings of the 2015 American Control Conference (ACC '15), pp. 5146–5151, Chicago, Ill, USA, July 2015. View at Publisher · View at Google Scholar · View at Scopus
  34. C. Andrieu and A. Doucet, “Particle filtering for partially observed Gaussian state space models,” Journal of the Royal Statistical Society. Series B. Statistical Methodology, vol. 64, no. 4, pp. 827–836, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  35. C. Snyder, T. Bengtsson, P. Bickel, and J. Anderson, “Obstacles to high-dimensional particle filtering,” Monthly Weather Review, vol. 136, no. 12, pp. 4629–4640, 2008. View at Publisher · View at Google Scholar · View at Scopus
  36. M. Chen, B. Jiang, and W. W. Guo, “Fault-tolerant control for a class of non-linear systems with dead-zone,” International Journal of Systems Science, vol. 47, no. 7, pp. 1689–1699, 2016. View at Publisher · View at Google Scholar · View at MathSciNet
  37. M. Chen and G. Tao, “Adaptive fault-tolerant control of uncertain nonlinear large-scale systems with unknown dead zone,” IEEE Transactions on Cybernetics, vol. 46, no. 8, pp. 1851–1862, 2016. View at Publisher · View at Google Scholar · View at Scopus