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Mathematical Problems in Engineering
Volume 2014, Article ID 498630, 8 pages
http://dx.doi.org/10.1155/2014/498630
Research Article

Distributed Fault Detection for a Class of Nonlinear Stochastic Systems

Department of Automation, East China University of Science and Technology (ECUST), 130 Meilong Road, Shanghai 200237, China

Received 6 July 2014; Accepted 5 August 2014; Published 25 September 2014

Academic Editor: Fanglai Zhu

Copyright © 2014 Bingyong Yan 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. P. M. Frank, “Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy: a survey and some new results,” Automatica, vol. 26, no. 3, pp. 459–474, 1990. View at Publisher · View at Google Scholar · View at Scopus
  2. R. Isermann, “Process fault detection based on modeling and estimation methods: a survey,” Automatica, vol. 20, no. 4, pp. 387–404, 1984. View at Publisher · View at Google Scholar · View at Scopus
  3. Z. Donghua and Y. Yinzhong, Modern Fault Diagnosis and Fault Tolerant Control, Publishing Company of Tsinghua University, Beijing, China, 2000.
  4. K. Zhang, B. Jiang, and V. Cocquempot, “Fast adaptive fault estimation and accommodation for nonlinear time-varying delay systems,” Asian Journal of Control, vol. 11, no. 6, pp. 643–652, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  5. M. M. Polycarpou and A. B. Trunov, “Learning approach to nonlinear fault diagnosis: detectability analysis,” IEEE Transactions on Automatic Control, vol. 45, no. 4, pp. 806–812, 2000. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  6. X. D. Zhang, M. M. Polycarpou, and T. Parisini, “A robust detection and isolation scheme for abrupt and incipient faults in nonlinear systems,” IEEE Transactions on Automatic Control, vol. 47, no. 4, pp. 576–593, 2002. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  7. X. D. Zhang, T. Parisini, and M. M. Polycarpou, “Sensor bias fault isolation in a class of nonlinear systems,” IEEE Transactions on Automatic Control, vol. 50, no. 3, pp. 370–376, 2005. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  8. A. T. Vemuri, “Sensor bias fault diagnosis in a class of nonlinear systems,” IEEE Transactions on Automatic Control, vol. 46, no. 6, pp. 949–954, 2001. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  9. W. Chen and M. Saif, “An iterative learning observer for fault detection and accommodation in nonlinear time-delay systems,” International Journal of Robust and Nonlinear Control, vol. 16, no. 1, pp. 1–19, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  10. X. Zhang, M. M. Polycarpou, and T. Parisini, “Fault diagnosis of a class of nonlinear uncertain systems with Lipschitz nonlinearities using adaptive estimation,” Automatica, vol. 46, no. 2, pp. 290–299, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  11. L. Guo and H. Wang, “Fault detection and diagnosis for general stochastic systems using B-spline expansions and nonlinear filters,” IEEE Transactions on Automatic Control, vol. 52, no. 8, pp. 1644–1652, 2005. View at Google Scholar · View at MathSciNet · View at Scopus
  12. Y. Bingyong, T. Zuohua, and L. Dongmei, “Fault diagnosis for a class of nonlinear stochastic time-delay systems,” Control and Instruments in Chemical Industry, vol. 34, no. 1, pp. 12–15, 2007. View at Google Scholar
  13. W. Zhang, H. Su, H. Wang, and Z. Han, “Full-order and reduced-order observers for one-sided lipschitz nonlinear systems using Riccati equations,” Communications in Nonlinear Science and Numerical Simulation, vol. 17, no. 12, pp. 4968–4977, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  14. W. Zhang, H.-S. Su, Y. Liang, and Z.-Z. Han, “Non-linear observer design for one-sided Lipschitz systems: an linear matrix inequality approach,” IET Control Theory and Applications, vol. 6, no. 9, pp. 1297–1303, 2012. View at Publisher · View at Google Scholar · View at Scopus
  15. W. Zhang, H. Su, and J. Wang, “Computation of upper bounds for the solution of continuous algebraic Riccati equations,” Circuits, Systems, and Signal Processing, vol. 32, no. 3, pp. 1477–1488, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  16. W. Zhang, X.-S. Cai, and Z.-Z. Han, “Robust stability criteria for systems with interval time-varying delay and nonlinear perturbations,” Journal of Computational and Applied Mathematics, vol. 234, no. 1, pp. 174–180, 2010. View at Publisher · View at Google Scholar · View at Scopus
  17. H. Su, X. Wang, and Z. Lin, “Flocking of multi-agents with a virtual leader,” IEEE Transactions on Automatic Control, vol. 54, no. 2, pp. 293–307, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  18. H. Su, X. Wang, G. Chen, and Z. Lin, “Adaptive second-order consensus of networked mobile agents with nonlinear dynamics,” Automatica, vol. 47, no. 2, pp. 368–375, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  19. H. Su, Z. Rong, M. Z. Q. Chen, X. Wang, G. Chen, and H. Wang, “Decentralized adaptive pinning control for cluster synchronization of complex dynamical networks,” IEEE Transactions on Cybernetics, vol. 43, no. 1, pp. 394–399, 2013. View at Google Scholar
  20. H. Su, M. Z. Q. Chen, J. Lam, and Z. Lin, “Semi-global leader-following consensus of linear multi-agent systems with input saturation via low gain feedback,” IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 60, no. 7, pp. 1881–1889, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  21. H. Su, M. Z. Q. Chen, X. Wang, and J. Lam, “Semiglobal observer-based leader-following consensus with input saturation,” IEEE Transactions on Industrial Electronics, vol. 61, no. 6, pp. 2842–2850, 2014. View at Google Scholar
  22. J. A. Fax and R. M. Murray, “Information flow and cooperative control of vehicle formations,” IEEE Transactions on Automatic Control, vol. 49, no. 9, pp. 1465–1476, 2004. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  23. A. Jadbabaie, J. Lin, and A. S. Morse, “Coordination of groups of mobile autonomous agents using nearest neighbor rules,” IEEE Transactions on Automatic Control, vol. 48, no. 6, pp. 988–1001, 2003. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  24. R. Olfati-Saber and R. M. Murray, “Consensus problems in networks of agents with switching topology and time-delays,” IEEE Transactions on Automatic Control, vol. 49, no. 9, pp. 1520–1533, 2004. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  25. W. Ren, R. W. Beard, and D. B. Kingston, “Multi-agent kalman consensus with relative uncertainty,” in Proceedings of the American Control Conference (ACC '05), pp. 1865–1870, Portland, Ore, USA, June 2005. View at Scopus
  26. R. Olfati-Saber and J. S. Shamma, “Consensus filters for sensor networks and distributed sensor fusion,” in Proceeding of the 44th IEEE Conference on Decision and Control, and the European Control Conference (CDC-ECC '05), pp. 6698–6703, December 2005. View at Publisher · View at Google Scholar · View at Scopus
  27. D. Bauso, L. Giarré, and R. Pesenti, “Distributed consensus protocols for coordinating buyers,” in Proceedings of the IEEE Conference on Decision and Control, pp. 588–592, December 2003. View at Scopus
  28. R. Olfati-Saber, “Distributed Kalman filter with embedded consensus filters,” in Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference (CDC-ECC '05), pp. 8179–8184, December 2005. View at Publisher · View at Google Scholar · View at Scopus
  29. R. Olfati-Saber, “Distributed Kalman filtering and sensor fusion in sensor networks,” in Proceedings of the Workshop on Network Embedded Sensing and Control, Notre Dame University, South Bend, Ind, USA, October 2005.