Skip to main content
Log in

Fault tolerant control for discrete networked control systems with random faults

  • Technical Notes and Correspondence
  • Published:
International Journal of Control, Automation and Systems Aims and scope Submit manuscript

Abstract

This paper concerns the fault tolerant control for discrete networked control systems (NCSs) with probabilistic sensor and actuator fault, random delay and packet dropout. The fault of each sensor or actuator happens in a random way, which is described by an individual random variable satisfying a certain probabilistic distribution. Using these stochastic variables in the system model, new type of NCSs fault model is proposed. The merit of the proposed fault model lies in its generalization and reality, which can cover some existing fault models as special cases. By using Lyapunov functional method and linear matrix inequality technology, sufficient conditions for the mean square stable (MSS) of the NCSs can be obtained. Then the reliable controller can be designed. Finally, a numerical example and a practical example are given to demonstrate the efficiency and application of the proposed method.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. J. P. Hespanha, P. Naghshtabrizi, and Y. G. Xu, “A survey of recent results in networked control systems,” Proc. of the IEEE, vol. 95, no. 1, pp. 138–162, 2007.

    Article  Google Scholar 

  2. T. C. Yang, “Networked control system: a brief survey,” IEE Proceedings-Control Theory and Applications, vol. 153, no. 4, pp.403–412, 2006.

    Article  Google Scholar 

  3. W. Zhang, M. S. Branicky, and S. M. Phillips, “Stability of networked control systems,” IEEE Control Systems Magazine, vol. 21, pp. 84–99, 2001.

    Article  Google Scholar 

  4. X. He, Z. Wang, and D. Zhou, Robust H filtering for time-delay systems with probabilistic sensor faults,” IEEE Signal Processing Letters, vol. 16, no. 5, pp. 442–445, 2009.

    Article  Google Scholar 

  5. R. P. Patankar, “A model for fault-tolerant networked control system using TTP/C communication,” IEEE Trans. on Vehicular Technology, vol. 53, no. 5, pp. 1461–1467, 2004.

    Article  Google Scholar 

  6. H. N. Wu and H. Y. Zhang, “Reliable H fuzzy control for continuous-time nonlinear systems with actuator failures,” IEEE Transactions on Fuzzy Systems, vol. 14, no. 5, pp. 609–618, 2006.

    Article  Google Scholar 

  7. S. Li, D. Sauter, C. Aubrun, and J. Yome, “Stability guaranteed active fault-tolerant control of networked control systems,” Journal of Control Science and Engineering, vol. 2008, pp. 1–9, 2008.

    MATH  Google Scholar 

  8. B. Chen and X. P. Liu, “Reliable control design of fuzzy dynamic systems with time-varying delay,” Fuzzy Sets and Sys., vol. 146, pp. 349–374, 2004.

    Article  MATH  Google Scholar 

  9. D. Zhang, H. Y. Su, S. Pan, J. Chu, and Z. Q. Wang, “LMI approach to reliable guaranteed cost control with multiple criteria constraints: The actuator faults case,” International Journal of Robust and Nonlinear Control, vol. 19, no. 8, pp. 884–899, 2009.

    Article  MathSciNet  MATH  Google Scholar 

  10. Z. Wang, B. Huang, and H. Unbehauen, “Robust reliable control for a class of uncertain nonlinear state-delayed systems,” Automatica, vol. 35, pp. 955–963, 1999.

    Article  MathSciNet  MATH  Google Scholar 

  11. D. Yue, J. Lam, and DWC Ho, “Reliable H control of uncertain descriptor systems with multiple time delays,” IEE Proceedings-Control Theory and Applications, vol. 150, pp. 557–564, 2003.

    Article  Google Scholar 

  12. F. O. Hounkpevi and E. E. Yaz, “Robust minimum variance linear state estimators for multiple sensors with different failure rates,” Automatica, vol. 43, no. 7, pp. 1274–1280, 2007.

    Article  MathSciNet  MATH  Google Scholar 

  13. G. Wei, Z. Wang, and H. Shu, “Robust filtering with stochastic nonlinearities and multiple missing measurements,” Automatica, vol. 45, no. 3, pp. 836–841, 2009.

    Article  MathSciNet  MATH  Google Scholar 

  14. L. El Ghaoui, F. Oustry, and M. AitRami, “A cone complementarity linearization algorithm for static output-feedback and related problems,” IEEE Trans. on Automatic Control, vol. 42, pp. 1171–1176, 1997.

    Article  MATH  Google Scholar 

  15. M. Saif and Y. Guan, “A new approach to robust fault detection and identification,” IEEE Trans. on Aerospace and Electronic Systems, vol. 29, no. 3, pp. 685–695, 1993.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Engang Tian.

Additional information

Recommended by Editorial Board member Hamid Reza Karimi under the direction of Editor Young Il Lee.

This work was supported by the Funds of National Science of China under Grant 61074025, 61074024, 60904013. The authors would like to thank the Editor and the Reviewers for their very helpful comments and suggestions.

Engang Tian was born in Shandong Province, China, in 1980. He received his B.S. degree from Shandong Normal University, Jinan, China, an M.S. degree from Nanjing Normal University, Nanjing, China, and a Ph.D. degree from Donghua University, Shanghai, China, in 2002, 2005, and 2008, respectively. Since 2008, he has been with the School of Electrical and Automation Engineering, Nanjing Normal University. From February 2010 to May 2010, he was a Visiting Scholar with Northumbria University, Newcastle, U.K. From September 2011 to August 2012, he was a Postdoctoral Fellow in the Hong Kong Polytechnic University. His current research interests include networked control systems, Takegi-Sugeno (T-S) fuzzy systems, and Reliable control.

Chen Peng was born in 1972 in Jiangsu, China. He received his BSc, MSc and Ph.D. degrees from Chinese University of Mining Technology in 1996, 1999 and 2002, respectively. He was a Postdoctoral Research Fellow in Applied Math at Nanjing Normal University. From November 2004 to January 2005, he was a Research Associate at Hong Kong University. From July 2006 to August 2007, he was a Visiting Scholar at Queensland University of Technology. From August 2010 to September 2011, he is a Visiting Professor at Central Queensland University, Rockhampton, QLD, Australia. He is currently a full Professor at Nanjing Normal University. His research interests include networked control systems, fault detection, time delay systems and fuzzy control.

Zhou Gu received his B.S. degree from North China Electric Power University, Beijing, China, in 1996, and his M.S. and Ph.D. degrees from Nanjing University of Aeronautics and Astronautics, Nanjing, China, in 2007 and 2010, respectively. Since 1999, he has been with the School of Power Engineering, Nanjing Normal University. His current research interests include networked control systems, Takegi-Sugeno (T-S) fuzzy systems, and time-delay systems.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tian, E., Peng, C. & Gu, Z. Fault tolerant control for discrete networked control systems with random faults. Int. J. Control Autom. Syst. 10, 444–448 (2012). https://doi.org/10.1007/s12555-012-0225-8

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12555-012-0225-8

Keywords

Navigation