Skip to main content
SpringerLink
Log in

H∞ Control with Limited Communication for Networked Control Systems

  • Published:
Circuits, Systems and Signal Processing Aims and scope Submit manuscript

Abstract

In this paper, the H ∞ control problem is studied for discrete time systems with limited communication network. The communication limitation includes signal quantization, random packet loss, which appear typically in a network environment. The random packet loss is modeled as a two-state Markov chain. Both the packet-loss dependent and independent H ∞ controllers are designed. The packet-loss dependent controller is applicable only to the network with accessible packet-loss information. However, the packet-loss independent controller is applicable to networks both with and without accessible packet-loss information. Finally, an example is provided to demonstrate the effectiveness and applicability of the proposed design approach.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. R.W. Brockett, D. Liberzon, Quantized feedback stabilization of linear systems. IEEE Trans. Autom. Control 45(7), 1279–1289 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  2. O.L.V. Costa, S. Guerra, Stationary filter for linear minimum mean square error estimator of discrete-time Markovian jump systems. IEEE Trans. Autom. Control 47(8), 1351–1356 (2002)

    Article  MathSciNet  Google Scholar 

  3. N. Elia, S.K. Mitter, Stabilization of linear system with limited information. IEEE Trans. Autom. Control 46(9), 1394–1400 (2001)

    Article  MathSciNet  Google Scholar 

  4. M. Fu, L. Xie, The sector bound approach to quantized feedback control. IEEE Trans. Autom. Control 50(11), 1698–1711 (2005)

    Article  MathSciNet  Google Scholar 

  5. H. Gao, T. Chen, H ∞ estimation for uncertain systems with limited communication capacity. IEEE Trans. Autom. Control 52(11), 2070–2084 (2007)

    Article  MathSciNet  Google Scholar 

  6. S. Hu, W. Zhu, Stochastic optimal control and analysis of stability of networked control systems with long delay. Automatica 39(11), 1877–1884 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  7. O.C. Imer, S. Yüksel, T. Basar, Optimal control of LTI systems over unreliable communication links. Automatica 42(9), 1429–1439 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  8. H. Ishii, H ∞ control with limited communication and message losses. Syst. Control Lett. 57(4), 322–331 (2008)

    Article  MATH  Google Scholar 

  9. D. Liberzon, Hybrid feedback stabilization of systems with quantized signals. Automatica 39(9), 1543–1554 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  10. D. Liberzon, J.P. Hespanha, Stabilization of nonlinear system with limited information feedback. IEEE Trans. Autom. Control 50(6), 910–915 (2005)

    Article  MathSciNet  Google Scholar 

  11. J. Nilsson, B. Bernhardsson, B. Wittenmark, Stochastic analysis and control of real-time systems with random time delays. Automatica 34(1), 57–64 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  12. R.S. Raji, Smart networks for control. IEEE Spectr. 31(6), 49–55 (1994)

    Article  Google Scholar 

  13. A. Ray, Y. Halevi, Integrated communication and control system: part II-design considerations. ASME J. Dyn. Syst. Meas. Control 110(4), 374–381 (1998)

    Article  Google Scholar 

  14. P. Seiler, R. Sengupta, An H ∞ approach to networked control. IEEE Trans. Autom. Control 50(3), 356–364 (2005)

    Article  MathSciNet  Google Scholar 

  15. S.C. Smith, P. Seiler, Estimation with lossy measurements: jump estimators for jump systems. IEEE Trans. Autom. Control 48(12), 2163–2171 (2003)

    Article  MathSciNet  Google Scholar 

  16. G.C. Walsh, O. Beldiman, L.G. Bushnell, Asymptotic behavior of nonlinear networked control systems. IEEE Trans. Autom. Control 46(7), 1093–1097 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  17. G.C. Walsh, H. Ye, L.G. Bushnell, Stability analysis of networked control systems. IEEE Trans. Control Syst. Technol. 10(3), 438–446 (2002)

    Article  Google Scholar 

  18. Z. Wang, F. Yang, D.W.C. Ho, X. Liu, Robust H ∞ filtering for stochastic time-delay systems with missing measurements. IEEE Trans. Signal Process. 54(7), 2579–2587 (2006)

    Article  Google Scholar 

  19. W.S. Wong, R.W. Brockett, Systems with finite communication bandwidth constraints-II: stabilization with limited information feedback. IEEE Trans. Autom. Control 44(5), 1049–1053 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  20. L. Xiao, A. Hassibi, J.P. How, Control with random communication delay via a discrete-time jump linear system approach, in Proceedings of the American Control Conference, Chicago, IL (2000), pp. 2199–2204

  21. L. Xie, Output feedback H ∞ control of systems with parameter uncertainty. Int. J. Control 63(4), 741–750 (1996)

    Article  MATH  Google Scholar 

  22. F. Yang, Z. Wang, Y.S. Huang, M. Gani, H ∞ control for networked systems with random communication delays. IEEE Trans. Autom. Control 51(3), 511–518 (2006)

    Article  Google Scholar 

  23. F. Yang, Z. Wang, D.W.C. Ho, M. Gani, Robust H ∞ control with missing measurement and time delays. IEEE Trans. Autom. Control 52(9), 1666–1672 (2007)

    Article  MathSciNet  Google Scholar 

  24. D. Yue, Q.-L. Han, J. Lam, Network-based robust H ∞ control of systems with uncertainty. Automatica 41(6), 999–1007 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  25. D. Yue, C. Peng, G.Y. Tang, Guaranteed cost control of linear systems over networks with state and input quantisations. IEE Proc., Control Theory Appl. 153(6), 658–664 (2006)

    Article  MathSciNet  Google Scholar 

  26. W. Zhang, M.S. Branicky, S.M. Phillips, Stability of networked control systems. IEEE Control Syst. Mag. 21(1), 84–99 (2001)

    Article  Google Scholar 

  27. L. Zhang, Y. Shi, T. Chen, B. Huang, A new method for stabilization of networked control systems with random delays. IEEE Trans. Autom. Control 50(8), 1177–1181 (2005)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Automation, Shanghai Jiao Tong University, Shanghai, 200240, China

    Yafeng Guo & Shaoyuan Li

Authors
  1. Yafeng Guo
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Shaoyuan Li
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Shaoyuan Li.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Guo, Y., Li, S. H∞ Control with Limited Communication for Networked Control Systems. Circuits Syst Signal Process 29, 1007–1026 (2010). https://doi.org/10.1007/s00034-010-9184-6

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00034-010-9184-6

Keywords

Search

Navigation