Skip to main content
Log in

Stability Analysis of Event-Triggered Networked Control Systems with Time-Varying Delay and Packet Loss

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

Abstract

Networked control systems (NCSs) are facing a great challenge from the limitation of network communication resources. Event-triggered control (ETC) is often used to reduce the amount of communication while still keeping a satisfactory performance of the system, by transmitting the measurements only when an event-triggered condition is satisfied. However, some network-induced problems would happen inevitably, such as communication delay and packet loss, which can degrade the control performance significantly and can even lead to instability. In this paper, a periodic event-triggered NCS considering both time-varying delay and packet loss is studied. The system is discretized into a piecewise linear system with uncertainty. Then the model is handled by a polytopic overapproximation method to be more suitable for stability analysis. Finally, stability conditions are obtained and presented in terms of linear matrix inequalities (LMIs). The result is illustrated by a numerical example.

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. 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 

  2. Yang T, Networked control system: A brief survey, IEE Proceedings — Control Theory and Applications, 2006, 153(4): 403–412.

    Article  Google Scholar 

  3. Strm K J and Bernhardsson B, Comparison of periodic and event based sampling for first-order stochastic systems, IFAC Proceedings Volumes, 1999, 32(2): 5006–5011.

    Article  Google Scholar 

  4. Arzn K E, A simple event-based pid controller, IFAC Proceedings Volumes, 1999, 32(2): 8687–8692.

    Article  Google Scholar 

  5. Donkers M C F and Heemels W P M H, Output-based event-triggered control with guaranteed \({{\cal L}_\infty }\)-gain and improved and decentralized event-triggering, IEEE Transactions on Automatic Control, 2012, 57(6): 1362–1376.

    Article  MathSciNet  Google Scholar 

  6. Chen X and Hao F, Periodic event-triggered state-feedback and output-feedback control for linear systems, International Journal of Control, Automation and Systems, 2015, 13(4): 779–787.

    Article  Google Scholar 

  7. Yue D, Tian E, and Han Q, A delay system method for designing event-triggered controllers of networked control systems, IEEE Transactions on Automatic Control, 2013, 58(2): 475–481.

    Article  MathSciNet  Google Scholar 

  8. Garcia E and Antsaklis P J, Model-based event-triggered control for systems with quantization and time-varying network delays, IEEE Transactions on Automatic Control, 2012, 58(2): 422–434.

    Article  MathSciNet  Google Scholar 

  9. Gao S, You X, Jia X, et al., A new stabilizing method for linear aperiodic sampled-data systems with time delay inputs and uncertainties, Science China Information Sciences, 2019, 63(4): 149203.

    Article  MathSciNet  Google Scholar 

  10. Shen Y, Li F, Zhang D, et al., Event-triggered output feedback ℌ control for networked control systems, International Journal of Robust and Nonlinear Control, 2019, 29(1): 166–179.

    Article  MathSciNet  Google Scholar 

  11. Léchappé V, Moulay E, Plestan F, et al., Discrete predictor-based event-triggered control of networked control systems, Automatica, 2019, 107: 281–288.

    Article  MathSciNet  Google Scholar 

  12. Cloosterman M, Hetel L, van de Wouw N, et al., Controller synthesis for networked control systems, Automatica, 2010, 46(10): 1584–1594.

    Article  MathSciNet  Google Scholar 

  13. Wu W, Liu S, and Cui B T, An approach to the polytopic representation of time-varying uncertain systems with reduced complexity and conservatism, Chinese Control and Decision Conference, 2016, 1675–1680.

  14. Wang Z, Sun J, and Chen J, A new polytopic approximation method for networked systems with time-varying delay, IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 2016, 63(9): 843–847.

    Article  Google Scholar 

  15. Yin X, Yue D, Hu S, et al., Model-based event-triggered predictive control for networked systems with data dropout, SIAM Journal on Control and Optimization, 2016, 54(2): 567–586.

    Article  MathSciNet  Google Scholar 

  16. Wu D, Sun X, Tan Y, et al., On designing event-triggered schemes for networked control systems subjectto one-step packetdropout, IEEE Transactions on Industrial Informatics, 2016, 12(3): 902–910.

    Article  Google Scholar 

  17. Peng C, Wu M, Xie X, et al., Event-triggered predictive control for networked nonlinear systems with imperfect premise matching, IEEE Transactions on Fuzzy Systems, 2018, 26(5): 2797–2806.

    Article  Google Scholar 

  18. Wang L, Guo G, and Zhuang Y, Stabilization of ncss by random allocation of transmission power to sensors, Science China Information Sciences, 2016, 59(6): 067201.

    Article  Google Scholar 

  19. Cetinkaya A, Ishii H, and Hayakawa T, Networked control under random and malicious packet losses, IEEE Transactions on Automatic Control, 2017, 62(5): 2434–2449.

    Article  MathSciNet  Google Scholar 

  20. Guinaldo M, Lehmann D, Sanchez J, et al., Distributed event-triggered control with network delays and packet losses, Proceedings of the 51st IEEE Conference on Decision and Control, 2012, 1–6.

  21. Peng C, Song Y, Xie X, et al., Event-triggered output tracking control for wireless networked control systems with communication delays and data dropouts, IET Control Theory & Applications, 2016, 10(6): 2195–2203.

    Article  MathSciNet  Google Scholar 

  22. Wang X and Lemmon M D, Event-triggering in distributed networked systems with data dropouts and delays, Hybrid Systems: Computation and Control, Eds. by Majumdar R and Tabuada P, Berlin, Heidelberg: Springer Berlin Heidelberg, 2009, 366–380.

    Chapter  Google Scholar 

  23. Trégouët J F, Seuret A, and Di Loreto M, A periodic approach for input-delay problems: Application to network controlled systems affected by polytopic uncertainties, International Journal of Robust and Nonlinear Control, 2016, 26(3): 385–400.

    Article  MathSciNet  Google Scholar 

  24. Bitsoris G, Olaru S, and Vassilaki M, The linear constrained control problem for discrete-time systems: Regulation on the boundaries, Difference Equations, Discrete Dynamical Systems and Applications, 2019, 215–245, DOI: https://doi.org/10.1007/978-3-030-20016-9_8.

  25. Gielen R HandLazar M, On stability analysis methods for large-scale discrete-time systems, Automatica, 2015, 55: 66–72.

    Article  MathSciNet  Google Scholar 

  26. Heemels W, van de Wouw N, Gielen R H, et al., Comparison of overapproximation methods for stability analysis of networked control systems, Proceedings of the 13th ACM International Conference on Hybrid Systems: Computation and Control, 2010, 181–190.

  27. Tabuada P, Event-triggered real-time scheduling of stabilizing control tasks, IEEE Transactions on Automatic Control, 2007, 52(9): 1680–1685.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yongqiang Bai.

Additional information

This research was supported by the National Natural Science Foundation of China under Grant Nos. 61522303, 61621063, 61720106011, Program for Changjiang Scholars and Innovative Research Team in University (IRT1208), Youth Changjiang Scholars Program.

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

Wang, Z., Sun, J. & Bai, Y. Stability Analysis of Event-Triggered Networked Control Systems with Time-Varying Delay and Packet Loss. J Syst Sci Complex 34, 265–280 (2021). https://doi.org/10.1007/s11424-020-9299-1

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11424-020-9299-1

Keywords

Navigation