Skip to main content
Log in

Adaptive Event-Based Consensus of Multi-Agent Systems with General Linear Dynamics

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

Abstract

In this paper, adaptive event-based consensus of multi-agent systems with general linear dynamics is considered. A novel adaptive event-based controller and a state-dependent triggering function are proposed for each agent. The consensus can be achieved without the assumption that (A,B) is stabilizable. Furthermore, the Zeno-behavior of the concerned closed-loop system is also excluded under certain conditions. Finally, a numerical simulation example is presented to show the effectiveness of the theoretical 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.

Institutional subscriptions

Similar content being viewed by others

References

  1. Seyboth G S, Dimarogonas D V, and Johansson K H, Event-based broadcasting for multi-agent average consensus, Automatica, 2013, 49(1): 245–252.

    Article  MathSciNet  MATH  Google Scholar 

  2. Yu W, Ren W, Zheng W, et al., Distributed control gains design for consensus in multi-agent systems with second-order nonlinear dynamics, Automatica, 2013, 49(7): 2107–2115.

    Article  MathSciNet  MATH  Google Scholar 

  3. Guo G, Ding L, and Han Q, A distributed event-triggered transmission strategy for sampled-data consensus of multi-agent systems, Automatica, 2014, 50(5): 1489–1456.

    Article  MathSciNet  MATH  Google Scholar 

  4. Su S and Lin Z, Distributed consensus control of multi-agent systems with higher order agent dynamics and dynamically changing directed interaction topologies, IEEE Transactions on Automatic Control, 2016, 61(2): 515–519.

    MathSciNet  MATH  Google Scholar 

  5. Liu X, Sun J, Dou L, et al., Leader-following consensus for discrete-time multi-agent systems with parameter uncertainties based on the event-triggered strategy, Journal of Systems Science and Complexity, 2017, 30(1): 30–45.

    Article  MathSciNet  MATH  Google Scholar 

  6. Ding D, Wang Z, Shen B, et al., Event-triggered consensus control for discrete-time stochastic multi-agent systems, Automatica, 2015, 62: 284–291.

    Article  MATH  Google Scholar 

  7. Cheng Y and Ugrinovskii V, Event-triggered leader-following tracking control for multivariable multi-agent systems, Automatica, 2016, 70: 204–210.

    Article  MathSciNet  MATH  Google Scholar 

  8. Garcia E, Cao Y, and Casbeer DW, Periodic event-triggered synchronization of linear multi-agent systems with communication delays, IEEE Transactions on Automatic Control, 2016, 62(1): 366–371.

    Article  MathSciNet  MATH  Google Scholar 

  9. Zhu W, Pu H, Wang D, et al., Event-based consensus of second-order multi-agent systems with discrete time, Automatica, 2017, 79: 78–83.

    Article  MathSciNet  MATH  Google Scholar 

  10. Zhu W, Wang D, Liu L, et al., Event-based impulsive control of continuous-time dynamic systems and its application to synchronization of memristive neural networks, IEEE Transactions on Neural Networks & Learning Systems, 2017.

    Google Scholar 

  11. Zhu W, Jiang Z P, and Feng G, Event-based consensus of multi-agent systems with general linear models, Automatica, 2014, 50(2): 552–558.

    Article  MathSciNet  MATH  Google Scholar 

  12. Yang D, Ren W, and Liu X, Decentralized consensus for linear multi-agent systems under general directed graphs based on event-triggered/self-triggered strategy, 53th IEEE Annual Conference on Decision and Control (CDC), Los Angeeles, CA, USA, 2014, 1983–1988.

    Chapter  Google Scholar 

  13. Yu P, Ding L, Liu Z W, et al., Distributed event-triggered consensus of general linear multiagent systems with quantised measurements, IET Control Theory & Applications, 2016, 11(3): 308–318.

    Article  Google Scholar 

  14. Garcia E, Cao Y, and Casbeer DW, Periodic event-triggered synchronization of linear multi-agent systems with communication delays, IEEE Transactions on Automatic Control, 2016, 62(1): 366–371.

    Article  MathSciNet  MATH  Google Scholar 

  15. Zhu W, Li H, and Jiang Z P, Consensus of multi-agent systems with time-varying topology: An event-based dynamic feedback scheme, International Journal of Robust & Nonlinear Control, 2017, 27(8): 1339–1350.

    Article  MathSciNet  MATH  Google Scholar 

  16. Liu X, Du C, Liu H, et al., Distributed event-triggered consensus control with fully continuous communication free for general linear multi-agent systems under directed graph, International Journal of Robust & Nonlinear Control, 2018, 28(1): 132–143.

    Article  MathSciNet  MATH  Google Scholar 

  17. Li Z, Ren W, Liu X, et al., Distributed consensus of linear multi-agent systems with adaptive dynamic protocols, Automatica, 2013, 49(7): 1986–1995.

    Article  MathSciNet  MATH  Google Scholar 

  18. Yin X, Yue D, and Hu S, Adaptive periodic event-triggered consensus for multi-agent systems subject to input saturation, International Journal of Control, 2015, 89(4): 1–21.

    MathSciNet  MATH  Google Scholar 

  19. Hu W, Liu L, and Feng G, Cooperative output regulation of linear multi-agent systems with an event-triggered adaptive distributed observer, 13th IEEE International Conference on Control & Automation (ICCA), Ohrid, Macedonia, 2017, 684–688.

    Google Scholar 

  20. Li Z, Ren W, Liu X, et al., Consensus of multi-agent systems with general linear and Lipschitz nonlinear dynamics using distributed adaptive protocols, IEEE Transactions on Automaitc Control, 2013, 58(7): 1786–1791.

    Article  MathSciNet  MATH  Google Scholar 

  21. Lv Y, Li Z, Duan Z, et al., Novel distributed robust adaptive consensus protocols for linear multiagent systems with directed graphs and external disturbances, International Journal of Control, 2017, 90(2): 137–147.

    Article  MathSciNet  MATH  Google Scholar 

  22. Xie D, Xu S, Zhang B, et al., Consensus for multi-agent systems with distributed adaptive control and an event-triggered communication strategy, IET Control Theory & Applications, 2016, 10(13): 1547–1555.

    Article  MathSciNet  Google Scholar 

  23. You X, Hua C, and Guan X, Distributed adaptive event-triggered control for leader-following consensus of multi-agent systems, Asian Journal of Control, 2017, 19(6): 2155–2164.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Wei Zhu.

Additional information

This work was supported partly by the National Natural Science Foundation of China under Grant 61673080, 61403314, 61773321, partly by Training Programme Foundation for the Talents of Higher Education by Chongqing Education Commission, partly by Innovation Team Project of Chongqing Education Committee under Grant CXTDX201601019, partly by Chongqing Research and Innovation Project of Graduate Students under Grant CYS17229.

This paper was recommended for publication by Guest Editor XIN Bin.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, D., Zhou, Q. & Zhu, W. Adaptive Event-Based Consensus of Multi-Agent Systems with General Linear Dynamics. J Syst Sci Complex 31, 120–129 (2018). https://doi.org/10.1007/s11424-018-7360-0

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11424-018-7360-0

Keywords

Navigation