Skip to main content
Log in

Event-triggered Control for Linear Systems with Model Uncertainty and Clock Offset

  • Control Theory and Applications
  • Published:
International Journal of Control, Automation and Systems Aims and scope Submit manuscript

Abstract

This paper investigates the input-to-state stability (ISS) of continuous-time networked control systems with model uncertainty and bounded noise based on event-triggering. The information generated at the sensor is quantized and transmitted to the controller through a digital communication channel, which suffers from the network-induced time delay and clock offset. In the concerned event-triggering framework, such clock offset may cause long-term inconsistency between the state estimates of the sensor and the controller, and leads to the failure of ISS. By designing a well-designed state-dependent event-triggering threshold and updating methods, it can still ensure ISS for the concerned system in the presence of bounded clock offset and model uncertainty without exhibiting Zeno behavior. Simulations are done to verify the achieved results.

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. J. Baillieul and P. J. Antsaklis, “Control and communication challenges in networked real-time systems,” Proceedings of the IEEE, vol. 95, no. 1, pp. 9–28, 2007.

    Article  Google Scholar 

  2. F. Lian, J. R. Moyne, and D. M. Tilbury, “Performance evaluation of control networks: Ethernet, controlnet, and devicenet,” IEEE Control Systems Magazine, vol. 21, no. 1, pp. 66–83, 2001.

    Article  Google Scholar 

  3. P. Antsaklis and J. Baillieul, “Special issue on technology of networked control systems,” Proceedings of the IEEE, vol. 95, no. 1, pp. 5–8, 2007.

    Article  Google Scholar 

  4. D. E. Quevedo, E. I. Silva, and G. C. Goodwin, “Packetized predictive control over erasure channels,” Proceedings of American Control Conference, pp. 1003–1008, 2007.

  5. G. C. Walsh, H. Ye, and L. G. Bushnell, “Stability analysis of networked control systems,” IEEE Transactions on Control Systems Technology, vol. 10, no. 3, pp. 438–446, 2002.

    Article  Google Scholar 

  6. L. A. Montestruque and P. J. Antsaklis, “State and output feedback control in model-based networked control systems,” Proceedings of IEEE Conference on Decision and Control, vol. 2, pp. 1620–1625, 2002.

    Article  Google Scholar 

  7. L. A. Montestruque and P. Antsaklis, “Stability of modelbased networked control systems with time-varying transmission times,” IEEE Transactions on Automatic Control, vol. 49, no. 9, pp. 1562–1572, 2004.

    Article  MathSciNet  Google Scholar 

  8. E. Garcia and P. J. Antsaklis, “Model-based event-triggered control for systems with quantization and time-varying network delays,” IEEE Transactions on Automatic Control, vol. 58, no. 2, pp. 422–434, 2013.

    Article  MathSciNet  Google Scholar 

  9. K. J. Astrom and B. Bo, “Comparison of periodic and event based sampling for first order stochastic systems,” Proceedings of IFAC World Congress, 1999.

  10. P. Tabuada, “Event-triggered real-time scheduling of stabilizing control tasks,” IEEE Transactions on Automatic Control, vol. 52, no. 9, pp. 1680–1685, 2007.

    Article  MathSciNet  Google Scholar 

  11. L. Lu, “Asynchronous separable self-triggered model predictive control based on relaxed dynamic programming,” Proceedings of IFAC World Congress, vol. 48, no. 8, pp. 948–953, 2015.

    Google Scholar 

  12. S. Hu and D. Yue, “L2-gain analysis of event-triggered networked control systems: a discontinuous lyapunov functional approach,” International Journal of Robust and Nonlinear Control, vol. 23, no. 11, pp. 1277–1300, 2013.

    Article  MathSciNet  Google Scholar 

  13. F. Li, L. Gao, G. Dou, and B. Zheng, “Dual-side event-triggered output feedback H control for ncs with communication delays,” International Journal of Control, Automation and Systems, vol. 16, no. 1, pp. 108–119, 2018.

    Article  Google Scholar 

  14. X. Chen and F. Hao, “Periodic event-triggered statefeedback and output-feedback control for linear systems,” International Journal of Control, Automation and Systems, vol. 13, no. 4, pp. 779–787, 2015.

    Article  Google Scholar 

  15. D. Wang, X. Li, and H. Wang, “Research and application on the timestamp synchronization mechanism of ntp network applications,” Transactions of China Electrotechnical Society, vol. 30, no. S1, pp. 477–483, 2015.

    Google Scholar 

  16. M. Chen, Research and Implementation of Network Time Synchronization System Based on NTP Protocol, Ph.D. Thesis, Huazhong University of Science and Technology, 2005.

  17. L. Schenato and F. Fiorentin, “Average timesynch: a consensus-based protocol for clock synchronization in wireless sensor networks,” Automatica, vol. 47, no. 9, pp. 1878–1886, 2011.

    Article  MathSciNet  Google Scholar 

  18. R. Carli and S. Zampieri, “Network clock synchronization based on the second-order linear consensus algorithm,” IEEE Transactions on Automatic Control, vol. 59, no. 2, pp. 409–422, 2014.

    Article  MathSciNet  Google Scholar 

  19. E. Garcia, Y. Cao, and D. W. Casbeer, “Periodic event-triggered synchronization of linear multi-agent systems with communication delays,” IEEE Transactions on Automatic Control, vol. 62, no. 1, pp. 366–371, 2017.

    Article  MathSciNet  Google Scholar 

  20. Y. Wang, H. Zhang, X. Wang, and D. Yang, “Networked synchronization control of coupled dynamic networks with time-varying delay,” IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), vol. 40, no. 6, pp. 1468–1479, 2010.

    Article  Google Scholar 

  21. Q. Ling, “Bit rate conditions to stabilize a continuous-time scalar linear system based on event triggering,” IEEE Transactions on Automatic Control, vol. 62, no. 8, pp. 4093–4100, 2017.

    Article  MathSciNet  Google Scholar 

  22. Q. Ling, “Bit-rate conditions to stabilize a continuous-time linear system with feedback dropouts,” IEEE Transactions on Automatic Control, vol. 63, no. 7, pp. 2176–2183, 2018.

    Article  MathSciNet  Google Scholar 

  23. Q. Ling, “Periodic event-triggered quantization policy design for a scalar lti system with i.i.d. feedback dropouts,” IEEE Transactions on Automatic Control, vol. 64, no. 1, pp. 343–350, 2019.

    Article  MathSciNet  Google Scholar 

  24. Q. Ling, “Necessary and sufficient bit rate conditions to stabilize a scalar continuous-time lti system based on event triggering,” IEEE Transactions on Automatic Control, 2019. DOI: https://doi.org/10.1109/TAC.2019.2923343

  25. E. D. Sontag, “Input to state stability: basic concepts and results,” Nonlinear and Optimal Control Theory, pp. 163–220, Springer, 2008.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Qiang Ling.

Additional information

Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Recommended by Associate Editor Shun-ichi Azuma under the direction of Editor Myo Yaeg Lim. This work was supported by the National Natural Science Foundation of China under Grant 61973289, the National Key Research and Development Program of China under Grant 2016YFC0201003, and the Technological Innovation Project for New Energy and Intelligent Networked Automobile Industry of Anhui Province.

Xiang-hua Jiang received his B.S. degree in Mathematics from University of Science and Technology of China, Hefei, China, in 2017, and is currently pursuing an M.E. degree at University of Science and Technology of China. His research interests include event-triggered control and model-based control systems.

Qiang Ling is a Professor with Dept. of Automation in the University of Science and Technology of China. He received his B.S. degree from the University of Science and Technology of China, Hefei, China, in 1997, an M.E. degree from Tsinghua University, Beijing, China, in 2000, and the Ph.D. degree from University of Notre Dame, Notre Dame, IN, in 2005. He worked as a Research Staff Member in Seagate Technology from 2005 to 2008. He joined the University of Science and Technology of China in 2008. His research interests include networked control systems and signal processing. He is currently serving as an Associate Editor on the IEEE Control Systems Society Conference Editorial Board.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Jiang, Xh., Ling, Q. Event-triggered Control for Linear Systems with Model Uncertainty and Clock Offset. Int. J. Control Autom. Syst. 18, 2552–2561 (2020). https://doi.org/10.1007/s12555-018-0893-0

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12555-018-0893-0

Keywords

Navigation