Stochastic reliable control of a class of networked control systems with actuator faults and input saturation

  • Jian-Ning Li
  • Ya-Jun Pan
  • Hong-Ye Su
  • Cheng-Lin Wen
Regular Papers Control Theory

Abstract

The stochastic reliable control problem for networked control systems (NCSs) subject to actuator failure and input saturation is investigated in this paper. In order to get the relationship between the maximum allowable consecutive packet dropouts, the packet dropout probability, the actuator failure matrix and the input saturation, a packet dropout probability dependent condition is given via linear matrix inequality (LMI) technology. Then, a suitable reliable controller is designed to ensure the closed-loop system to be exponentially mean square stable against actuator failures and input saturation. Finally, numerical examples are provided to show the effectiveness of the proposed method.

Keywords

Actuator fault input saturation networked control systems (NCSs) packet dropout stochastic systems 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    R. A. Gupta and M. Chow, “Networked control system: overview and research trends,” IEEE Trans. on Industrial Electronics, vol. 57, no. 7, pp. 2527–2535, 2010.CrossRefGoogle Scholar
  2. [2]
    G. C. Walsh, H. Ye, and L. G. Bushnell, “Stability analysis of networked control systems,” IEEE Trans. on Control System Technology, vol. 10, no. 3, pp. 438–446, 2002.CrossRefGoogle Scholar
  3. [3]
    J. Wu and T. Chen, “Design of networked control systems with packet dropout,” IEEE Trans. on Automatic Control, vol. 52, no. 7, pp. 1314–1319, 2007.CrossRefGoogle Scholar
  4. [4]
    T. Jia, Y. Niu, and X. Wang, “H control for networked systems with data packet dropout,” International Journal of Control, Automation, and Systems, vol. 8, no. 2, pp. 198–203, 2010.CrossRefGoogle Scholar
  5. [5]
    X. Fang and J. Wang, “Stochastic observer-based guaranteed cost control for networked control systems with packet dropouts,” IET Control Theory and Applications, vol. 2, no. 11, pp. 980–989, 2008.CrossRefMathSciNetGoogle Scholar
  6. [6]
    X. Ye, S. Liu, and P. X. Liu, “Modelling and stabilisation of networked control system with packet loss and time-varying delays,” IET Control Theory and Applications, vol. 4, no. 6, pp. 1094–1100, 2010.CrossRefGoogle Scholar
  7. [7]
    J. Li, J. Yuan, and J. Lu, “Observer-based H control for networked nonlinear systems with random packet losses,” ISA Transactions, vol. 49, no. 1, pp. 39–46, 2010.CrossRefGoogle Scholar
  8. [8]
    J. Xiong and J. Lam, “Stabilization of linear systems over networks with bounded packet loss,” Automatica, vol. 43, no. 1, pp. 80–87, 2007.CrossRefMATHMathSciNetGoogle Scholar
  9. [9]
    W. Zhang, M. Branicky, and S. Philips, “Stability of networked control systems,” IEEE Control Systems Magazine, vol. 21, no. 1, pp. 84–99, 2001.CrossRefGoogle Scholar
  10. [10]
    H. Dong, Z. Wang, D. W. C. Ho, and H. Gao, “Robust H fuzzy output-feedback control with multiple probabilistic delays and multiple missing measurements,” IEEE Trans. on Fuzzy Systems, vol. 18, no. 4, pp. 712–725, 2010.CrossRefGoogle Scholar
  11. [11]
    Q. Zhou and P. Shi, “A new approach to network-based H control for stochastic system,” International Journal of Robust and Nonlinear Control, vol. 22, no. 9, pp. 1036–1059, 2012.CrossRefMATHMathSciNetGoogle Scholar
  12. [12]
    M. Yu, L. Wang, T. Chu, and F. Hao, “An LMI approach to networked control systems with data packet dropout and transmission delays,” Proc. of 43rd IEEE Conference on Decision and Control, Atlantis, Paradise Island, Bahamas, pp. 3545–3550, 2004.Google Scholar
  13. [13]
    W. Zhang and L. Yu, “Modelling and control of networked control system with both network-induced delay and packet-dropout,” Automatica, vol. 44, no. 12, pp. 3206–3210, 2008.CrossRefMATHMathSciNetGoogle Scholar
  14. [14]
    J. Li, H. Su, Z. Wu, and J. Chu, “Modelling and control of ZigBee-based wireless networked control system with both network-induced delay and packet dropout,” International Journal of Systems Science, vol. 44, no. 6, pp. 1160–1172, 2013.CrossRefMATHMathSciNetGoogle Scholar
  15. [15]
    F. Yang and Y. Li, “Set-membership filtering for systems with sensor saturation,” Automatica, vol. 45, no. 8, pp. 1896–1902, 2009.CrossRefMATHMathSciNetGoogle Scholar
  16. [16]
    H. Zeng, Y. He, M. Wu, and S. Xiao, “Absolute stability and stabilization for Lurie networked control systems,” International Journal of Robust Nonlinear Control, vol. 21, no. 14, pp. 1667–1776, 2011.CrossRefMATHMathSciNetGoogle Scholar
  17. [17]
    Z. Wang, D. W. C. Ho, H. Dong, and H. Gao, “Robust H finite-horizon control for a class of stochastic nonlinear time-varying systems subject to sensor and actuator saturations,” IEEE Trans. on Automatic Control, vol. 55, no. 7, pp. 1716–1722, 2010.CrossRefMathSciNetGoogle Scholar
  18. [18]
    D. Yue, E. Tian, Y. Zhang, and C. Peng, “Delay-distribution-dependent robust stability of uncertain systems with time-varying delay,” International Journal of Robust Nonlinear Control, vol. 19, no. 4, pp. 377–393, 2009.CrossRefMATHMathSciNetGoogle Scholar
  19. [19]
    Y. Hou, “Reliable stabilization of networked control systems with actuator faults,” Nonlinear Dynamics, vol. 71, no. 3, pp. 447–455, 2013.CrossRefMathSciNetGoogle Scholar
  20. [20]
    Z. Wu, P. Shi, H. Su, and J. Chu, “Reliable H control for discrete-time fuzzy systems with infinite-distributed delay,” IEEE Trans. on Fuzzy Systems, vol. 20, no. 1, pp. 22–31, 2012.CrossRefGoogle Scholar
  21. [21]
    Z. Wu, J. H. Park, H. Su, B. Song, and J. Chu, “Reliable H filtering for discrete-time singular systems with randomly occurring delays and sensor failure,” IET Control Theory and Applications, vol. 6, no. 14, pp. 2308–2317, 2012.CrossRefMathSciNetGoogle Scholar
  22. [22]
    Z. Wu, P. Shi, H. Su, and J. Chu, “Stochastic synchronization of Markovian jump neural networks with time-varying delay using sampled data,” IEEE Trans. on Cybernetics, vol. 43, no. 6, pp. 1796–1806, 2013.CrossRefGoogle Scholar
  23. [23]
    T. H. Lee, J. H. Park, O. K. Kwon, and S. M. Lee, “Stochastic sampled-data control for state estimation of time-varying delayed neural networks,” Neural Networks, vol. 46, no. 1, pp. 99–108, 2013.CrossRefMathSciNetGoogle Scholar
  24. [24]
    H. Shen, S. Xu, J. Lu, and J. Zhou, “Passivitybased control for uncertain stochastic jumping systems with mode-dependent round-trip time delays,” Journal of the Franklin Institute, vol. 349, no. 5, pp. 1665–1680, 2012.CrossRefMATHMathSciNetGoogle Scholar
  25. [25]
    H. Shen, X. Song, and Z. Wang, “Robust fault-tolerant control of uncertain fractional-order systems against actuator faults,” IET Control Theory and Applications, vol. 7, no. 9, pp. 1233–1241, 2013.CrossRefMathSciNetGoogle Scholar
  26. [26]
    Z. Wu, J. H. Park, H. Su, and J. Chu, “Reliable passive control for singular systems with time-varying delays,” Journal of the Process Control, vol. 23, no. 8, pp. 1217–1228, 2013.CrossRefGoogle Scholar
  27. [27]
    T. H. Lee, J. H. Park, S. M. Lee, and O. M. Kwon, “Robust synchronization of chaotic systems with random occurring uncertainties via stochastic sampled-data control,” International Journal of Control, vol. 86, no. 1, pp. 107–119, 2013.CrossRefMATHMathSciNetGoogle Scholar

Copyright information

© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Jian-Ning Li
    • 1
  • Ya-Jun Pan
    • 2
  • Hong-Ye Su
    • 3
  • Cheng-Lin Wen
    • 1
  1. 1.Institute of Systems Science and Control Engineering, School of AutomationHangzhou Dianzi UniversityHangzhou, ZhejiangP. R. China
  2. 2.Department of Mechanical EngineeringDalhousie UniversityHalifaxCanada
  3. 3.Institute of Cyber-Systems and ControlZhejiang University, Zhejiang UniversityHangzhou, ZhejiangP. R. China

Personalised recommendations