Skip to main content
Log in

Optimal Output Feedback Control and Stabilization for NCSs with Packet Dropout and Delay: TCP Case

  • Published:
Journal of Systems Science and Complexity Aims and scope Submit manuscript

Abstract

This paper considers the output feedback control and stabilization problems for network control systems (NCSs) with packet dropout and input delay, and the TCP (transmission control protocol) case is mainly investigated. Specifically, whether the control signal is lost can be acknowledged by the receiver in the NCSs. The main contributions are: 1) For the finite horizon case, the “optimal” output feedback control is derived by using the dynamic programming approach, and it is noted that the separation principle holds for the considered situation; 2) For the infinite horizon case, for the first time, the necessary and sufficient stabilization conditions are derived for NCSs with packet dropout and delay.

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.

Similar content being viewed by others

References

  1. Akyildiz I F, Melodia T, and Chowdury K R, Wireless multimedia sensor networks: A survey, Wireless Communications, IEEE, 2007, 14(6): 32–39.

    Article  Google Scholar 

  2. Hespanha J P, Naghshtabrizi P, and Xu Y, A survey of recent results in networked control systems, Proceedings of the IEEE, 2007, 95(1): 138–162.

    Article  Google Scholar 

  3. Baillieul J and Antsaklis P J, Control and communication challenges in networked real-time systems, Proceedings of the IEEE, 2007, 95(1): 9–28.

    Article  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  5. Schenato L, Sinopoli B, Franceschetti M, et al., Foundations of control and estimation over lossy networks, Proceedings of the IEEE, 2007, 95(1): 163–187.

    Article  Google Scholar 

  6. Nahi N, Optimal recursive estimation with uncertain observation, IEEE Transactions on Information Theory, 1969, 15(4): 457–462.

    Article  MathSciNet  MATH  Google Scholar 

  7. Hadidi M and Schwartz S, Linear recursive state estimators under uncertain observations, IEEE Transactions on Automatic Control, 1979, 24(6): 944–948.

    Article  MathSciNet  MATH  Google Scholar 

  8. Sinopoli B, Schenato L, Franceschetti M, et al., Kalman filtering with intermittent observations, IEEE Transactions on Automatic Control, 2004, 49(9): 1453–1464.

    Article  MathSciNet  MATH  Google Scholar 

  9. Qi Q Y and Zhang H S, Optimal control for network control systems with state-package dropouts, 54th IEEE Annual Conference on Decision and Control, 2015, 2477–2482.

    Google Scholar 

  10. Sinopoli B, Schenato L, Franceschetti M, et al., Time varying optimal control with packet losses, 43rd IEEE Conference on Decision and Control, 2004, 2: 1938–1943.

    Google Scholar 

  11. Qi Q Y and Zhang H S, Output feedback control and stabilization for networked control systems with packet losses, IEEE Transactions on Cybernetics, 2017, 47(8): 2223–2234.

    Article  Google Scholar 

  12. Zhang H S, Li L, Xu J J, et al., Linear quadratic regulation and stabilization of discrete-time systems with delay and multiplicative noise, IEEE Transactions on Automatic Control, 2015, 60(10): 2599–2613.

    Article  MathSciNet  MATH  Google Scholar 

  13. Lin H, Su H Y, Shi P, et al., Estimation and LQG control over unreliable network with acknowledgment randomly lost, IEEE Transactions on Cybernetics, 2017, 47(12): 4074–4085.

    Article  Google Scholar 

  14. Zhang H, Hong Q, Yan H, et al., Event-based distributed H8 filtering networks of 2DOF quartercar suspension systems, IEEE Transactions on Industrial Informatics, 2017, 13(1): 312–321.

    Article  Google Scholar 

  15. Zhang J, Lin Y, and Shi P, Output tracking control of networked control systems via delay compensation controllers, Automatica, 2015, 57: 85–92.

    Article  MathSciNet  MATH  Google Scholar 

  16. Shi P, Wang H, and Lim C C, Network-based event-triggered control for singular systems with quantizations, IEEE Transactions on Industrial Electronics, 2016, 63(2): 1230–1238.

    Article  Google Scholar 

  17. Guan Z H, Chen C Y, Feng G, et al., Optimal tracking performance limitation of networked control systems with limited bandwidth and additive colored white Gaussian noise, IEEE Transactions on Circuits and Systems, 2013, 60(1): 189–198.

    Article  MathSciNet  Google Scholar 

  18. Chen C Y, Guan Z H, Chi M, et al., Fundamental performance limitations of networked control systems with novel trade-off factors and constraint channels, Journal of the Franklin Institute, 2017, 354(7): 3120–3133.

    Article  MathSciNet  MATH  Google Scholar 

  19. Qi Q Y and Zhang H S, Output feedback control and stabilization for multiplicative noise systems with intermittent observations, IEEE Transactions on Cybernetics, 2017, DOI: 10.1109/ TCYB.2017.2728078.

    Google Scholar 

  20. Song Y, Wang J, Shi Y, et al., Packet-loss-dependent stabilization of model-based networked control systems, Asian Journal of Control, 2013, 15(5): 1356–1365.

    MathSciNet  MATH  Google Scholar 

  21. Azimi-Sadjadi B, Stability of networked control systems in the presence of packet losses, Proceedings of 42nd IEEE Conference on Decision and Control, 2003, 1: 676–681.

    Google Scholar 

  22. Liu G P, Predictive controller design of networked systems with communication delays and data loss, IEEE Transactions on Circuits and Systems II: Express Briefs, 2010, 57(6): 481–485.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xiao Ma.

Additional information

This research was supported by the National Natural Science Foundation of China under Grant Nos. 61120106011, 61573221, 61633014. Mr. QI Qingyuan was supported by the program for Outstanding PhD Candidate of Shandong University.

This paper was recommended for publication by Editor LIU Guoping.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ma, X., Qi, Q. & Zhang, H. Optimal Output Feedback Control and Stabilization for NCSs with Packet Dropout and Delay: TCP Case. J Syst Sci Complex 31, 147–160 (2018). https://doi.org/10.1007/s11424-018-7275-9

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11424-018-7275-9

Keywords

Navigation