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A Novel Feedback Control Approach for Networked Systems with Probabilistic Delays

  • Magdi S. Mahmoud
Conference paper

Abstract

The networked control system (NCS) design for continuous-time systems with probabilistic delays is discussed in this paper. The delay is assumed to follow a given probability density function. A novel design scheme for the output feedback controller is developed to render the closed-loop networked system exponentially mean-square stable with \( H_{\infty } \) performance requirement. A numerical example is provided to show the advantages of the proposed technique.

Keywords

Exponential mean-square stability Networked control systems Output feedback control Packet dropout Probabilistic delays Varying sample interval 

Notes

Acknowledgements

The author would like to thank the deanship for scientific research (DSR) at KFUPM for financial support through research group project RG-1316-1.

References

  1. 1.
    L.Q. Zhang, S. Yang, T.W. Chen, B. Huang, A new method for stabilization of networked control systems with random delays. IEEE Trans. Automat. Control 50(8), 1177–1181 (2005)CrossRefMathSciNetGoogle Scholar
  2. 2.
    J.P. Hespanha, Y.G. Xu, A survey of recent results in networked control systems. Proc. IEEE 95(1), 138–162 (2007)CrossRefGoogle Scholar
  3. 3.
    W. Heemels, A. Teel, N. van de Wouw, D. Nesic, Networked control systems with communication constraints: tradeoffs between transmission intervals, delays and performance. IEEE Trans. Automat. Control 55(8), 1781–1796 (2010)CrossRefMathSciNetGoogle Scholar
  4. 4.
    M.S. Mahmoud, Robust Control and Filtering for Time-delay Systems (Marcel-Dekker, New York, 2000)MATHGoogle Scholar
  5. 5.
    F. Yang, Z. Wang, Y.S. Hung, M. Gani, \( \fancyscript{H}_{\infty } \) control for networked systems with random communication delays. IEEE Trans. Automat. Control. 51(3), 511–518 (2007)Google Scholar
  6. 6.
    D. Yue, E. Tian, Z. Wang, J. Lam, Stabilization of systems with probabilistic interval input delays and its applications to networked control systems. IEEE Trans. Syst. Man Cybern. Part A Syst. Hum. 39(42), 939–945 (2009)Google Scholar
  7. 7.
    M.G. Rivera, A. Barreiro, Analysis of networked control systems with drops and variable delays. Automatica 43(9), 2054–2059 (2007)CrossRefMATHGoogle Scholar
  8. 8.
    J. Xiong, J. Lam, Stabilization of linear systems over networks with bounded packet loss. Automatica 43(1), 80–87 (2007)CrossRefMATHMathSciNetGoogle Scholar
  9. 9.
    L. Zhang, Y. Shi, T. Chen, B. Huang, A new method for stabilization of networked control systems with random delays. IEEE Trans. Automat. Control 50(8), 1177–1181 (2006)CrossRefMathSciNetGoogle Scholar
  10. 10.
    M.S. Mahmoud, N. Hazem, Nounou, Y. Xia, Dissipative control for internet-based switching systems. J. Franklin Inst. 347(1), 154–172 (2011)CrossRefGoogle Scholar
  11. 11.
    B. Liu, Y. Xia, M.S. Mahmoud, H. Wu, New predictive control scheme for networked control systems. J. Circuits, Syst. Signal Process. 31(2), 945–960 (2012)CrossRefMATHMathSciNetGoogle Scholar
  12. 12.
    M.S. Mahmoud, A.W. Saif, Robust quantized approach to fuzzy networked control systems. IEEE J. Emerg. Sel. Top. Circuits Syst. (JETCAS) 2(1), 71–81 (2012)CrossRefGoogle Scholar
  13. 13.
    M.S. Mahmoud, Improved networked control systems approach with communication constraint. IMA J. Math. Control Inf. 29(2), 215–233 (2012)CrossRefMATHGoogle Scholar
  14. 14.
    B. Sinopoli, L. Schenato, M. Franceschetti, K. Poolla, M.I. Jordan, S.S. Sastry, Kalman filtering with intermittent observations. IEEE Trans. Automat. Control 49, 1453–1464 (2004)CrossRefMathSciNetGoogle Scholar
  15. 15.
    H.S. Zhang, L.H. Xie, Control and Estimation of Systems with Input/Output Delays (Springer, Berlin, 2007)MATHGoogle Scholar
  16. 16.
    L. Hetel, J. Daafouz, C. Lung, Analysis and control of LTI and switched systems in digital loops via an event-based modelling. Int. J. Control 81(7), 1125–1138 (2008)CrossRefMATHGoogle Scholar
  17. 17.
    Y. Shi, B. Yu, Robust mixed \( \fancyscript{H}_{2} /\fancyscript{H}_{\infty} \) control of networked control systems with random time delays in both forward and backward communication links. Automatica 47(4), 754–760 (2011)Google Scholar
  18. 18.
    M.S. Mahmoud, in WCE 2013: Output-Feedback Control for Networked Systems with Probabilistic Delays. Proceedings of the World Congress on Engineering 2013. Lecture Notes in Engineering and Computer Science, (London, 3–5 July 2013), pp. 1070–1077 Google Scholar
  19. 19.
    M.S. Mahmoud, A.Y. Al-Rayyah, Efficient parameterization to stability and feedback synthesis of linear time-delay systems. IET Control Theor. Appl. 3(8), 1107–1118 (2009)CrossRefMathSciNetGoogle Scholar
  20. 20.
    M.S. Mahmoud, S.Z. Selim, P. Shi, Global exponential stability criteria for neural networks with probabilistic delays. IET Control Theor. Appl. 4(11), 2405–2415 (2011)CrossRefMathSciNetGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Systems Engineering DepartmentKFUPMDhahranSaudi Arabia

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