Skip to main content
Log in

Event-Triggered Control for Multi-Agent Systems: Event Mechanisms for Information Transmission and Controller Update

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

Abstract

This paper investigates the state consensus of linear multi-agent systems in a graph where each agent is equipped with two novel event-triggering mechanisms. Each agent utilizes them to avoid continuous information transmissions with its neighbors and to reduce the frequencies of controller updates, respectively. One of the event-triggering mechanisms defines a threshold of state errors by a constant plus a state-dependent variable. The other event-triggering mechanism introduces a period of rest time after each event. For each agent, both event-triggering mechanisms are fully distributed and are independent of any global information. The authors utilize a co-design approach to deal with the interplay between control gains and parameters in event-triggering mechanisms. With appropriate control gains in control laws and parameters in event-triggering conditions, subsystems employing discrete-time signals from neighbors and discrete-time signals from their controllers achieve the state consensus. Simulations are performed to illustrate the effectiveness of the proposed event-triggering mechanisms.

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. Wang L and Xiao F, A new approach to consensus problems in discrete-time multiagent systems with time-delays, Science in China Series F: Information Sciences, 2007, 50(4): 625–635.

    MathSciNet  MATH  Google Scholar 

  2. Yu J Y and Shi Y, Scaled group consensus in multiagent systems with first/second-order continuous dynamics, IEEE Transactions on Cybernetics, 2017, 48(8): 2259–2271.

    Google Scholar 

  3. Zheng Y S, Ma J Y, and Wang L, Consensus of hybrid multi-agent systems, IEEE Transactions on Neural Networks and Learning Systems, 2017, 29(4): 1359–1365.

    Article  Google Scholar 

  4. Ji Z, Lin H, Cao S, et al., The complexity in complete graphic characterizations of multiagent controllability, IEEE Transactions on Cybernetics, 2021, 51(1): 64–76.

    Article  Google Scholar 

  5. Ji Z J, Lin H, and Yu H S, Protocols design and uncontrollable topologies construction for multi-agent networks, IEEE Transactions on Automatic Control, 2014, 60(3): 781–786.

    Article  MathSciNet  Google Scholar 

  6. Liu S, Ji Z J, and Ma H Z, Jordan form-based algebraic conditions for controllability of multiagent systems under directed graphs, Complexity, 2020, 2020.

  7. Wei B, Xiao F, and Shi Y, Synchronization in Kuramoto oscillator networks with sampled-data updating law, IEEE Transactions on Cybernetics, 2020, 50(6): 2380–2388.

    Article  Google Scholar 

  8. Sun Y G, Tian Y Z, and Xie X J, Stabilization of positive switched linear systems and its application in consensus of multiagent systems, IEEE Transactions on Automatic Control, 2017, 62(12): 6608–6613.

    Article  MathSciNet  Google Scholar 

  9. 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 

  10. Liu X Y, Xuan Y B, Zhang Z Y, et al., Event-triggered consensus for discrete-time multi-agent systems with parameter uncertainties based on a predictive control scheme, Journal of Systems Science and Complexity, 2020, 33(3): 706–724.

    Article  MathSciNet  Google Scholar 

  11. Zhu W, Wang D D, and Zhou Q H, Leader-following consensus of multi-agent systems via adaptive event-based control, Journal of Systems Science and Complexity, 2019, 32(3): 846–856.

    Article  MathSciNet  Google Scholar 

  12. Sun Y S, Ji Z J, and Liu K, Event-based consensus for general linear multiagent systems under switching topologies, Complexity, 2020, 2020.

  13. Liu Z X, Chen Z Q, and Yuan Z Z, Event-triggered average-consensus of multi-agent systems with weighted and direct topology, Journal of Systems Science and Complexity, 2012, 25(5): 845–855.

    Article  MathSciNet  Google Scholar 

  14. Garcia E, Cao Y C, Yu H, et al., Decentralised event-triggered cooperative control with limited communication. International Journal of Control, 2013, 86(9): 1479–1488.

    Article  MathSciNet  Google Scholar 

  15. Nowzari C and Cortés J, Distributed event-triggered coordination for average consensus on weight-balanced digraphs, Automatica, 2016, 68: 237–244.

    Article  MathSciNet  Google Scholar 

  16. Garcia E, Cao Y C, and Casbeer D W, Periodic event-triggered synchronization of linear multiagent systems with communication delays, IEEE Transactions on Automatic Control, 2016, 62(1): 366–371.

    Article  Google Scholar 

  17. Wang D D, Zhou Q H, and Zhu W, Adaptive event-based consensus of multi-agent systems with general linear dynamics, Journal of Systems Science and Complexity, 2018, 31(1): 120–129.

    Article  MathSciNet  Google Scholar 

  18. Duan D D and Zong G D, Exponential 1 filtering of networked linear switched systems: An event-triggered approach, Journal of Systems Science and Complexity, 2020, 33(2): 383–400.

    Article  MathSciNet  Google Scholar 

  19. Wang J, Shi L R, and Guan X P, Semi-global leaderless consensus of linear multi-agent systems with actuator and communication constraints, Journal of Systems Science and Complexity, 2020, 33(4): 882–902.

    Article  MathSciNet  Google Scholar 

  20. Xiao F and Chen T W, Sampled-data consensus in multi-agent systems with asynchronous hybrid event-time driven interactions, Systems & Control Letters, 2016, 89: 24–34.

    Article  MathSciNet  Google Scholar 

  21. Xiao F, Shi Y, and Ren W, Robustness analysis of asynchronous sampled-data multiagent networks with time-varying delays, IEEE Transactions on Automatic Control, 2017, 63(7): 2145–2152.

    Article  MathSciNet  Google Scholar 

  22. You X, Hua C C, and Guan X P, Event-triggered leader-following consensus for nonlinear multiagent systems subject to actuator saturation using dynamic output feedback method, IEEE Transactions on Automatic Control, 2018, 63(12): 4391–4396.

    Article  MathSciNet  Google Scholar 

  23. Borgers D P and Heemels W M, Event-separation properties of event-triggered control systems, IEEE Transactions on Automatic Control, 2014, 59(10): 2644–2656.

    Article  MathSciNet  Google Scholar 

  24. Garcia E, Cao Y C, and Casbeer D W, Decentralized event-triggered consensus with general linear dynamics, Automatica, 2014, 50(10): 2633–2640.

    Article  MathSciNet  Google Scholar 

  25. Ghodrat M and Marquez H, Event-triggered design with guaranteed minimum interevent times and \({{\cal L}_p}\) performance, IEEE Transactions on Automatic Control, 2020, 65(4): 1668–1675.

    Article  MathSciNet  Google Scholar 

  26. Ghodrat M and Marquez H J, On the event-triggered controller design, IEEE Transactions on Automatic Control, 2020, 65(10): 4122–4137.

    Article  MathSciNet  Google Scholar 

  27. Ghodrat M, Mousavi S H, de Ruiter A H J, et al., Dissipativity properties of nonlinear systems under network constraints, IEEE Transactions on Automatic Control, 2020, 65(6): 2708–2715.

    Article  MathSciNet  Google Scholar 

  28. Yu P and Dimarogonas D V, Explicit computation of sampling period in periodic event-triggered multi-agent control under limited data rate, IEEE Transactions on Control of Network Systems, 2018, 6(4): 1366–1378.

    Article  Google Scholar 

  29. Fan Y, Liu L, Feng G, et al., Self-triggered consensus for multi-agent systems with zeno-free triggers, IEEE Transactions on Automatic Control, 2015, 60(10): 2779–2784.

    Article  MathSciNet  Google Scholar 

  30. Benítez-Pérez H, Ortega-Arjona J L, Méndez-Monroy P E, et al., Control Strategies and Co-Design of Networked Control Systems: Considering Time Delay Effects, Volume 13, Springer, 2018.

  31. Godsil C and Royle G F, Algebraic Graph Theory, Volume 207, Springer Science & Business Media, New York, 2013.

    MATH  Google Scholar 

  32. Li Z K, Duan Z S, Chen G R, et al., Consensus of multiagent systems and synchronization of complex networks: A unified viewpoint, IEEE Transactions on Circuits and Systems I: Regular Papers, 2009, 57(1): 213–224.

    MathSciNet  MATH  Google Scholar 

  33. Olfati-Saber R, Fax J A, and Murray R M, Consensus and cooperation in networked multi-agent systems, Proceedings of the IEEE, 2007, 95(1): 215–233.

    Article  Google Scholar 

  34. Feng W and Zhang J F, Input-to-state stability of switched nonlinear systems, Science China Information Sciences, 2008, 12(51): 1992–2004.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Bo Wei.

Additional information

This research was supported in part by the National Natural Science Foundation of China under Grant Nos. 61873074 and 61903140, and in part by the Fundamental Research Funds for the Central Universities under Grant No. 2020MS019.

This paper was recommended for publication by Editor HU Xiaoming.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liu, P., Xiao, F. & Wei, B. Event-Triggered Control for Multi-Agent Systems: Event Mechanisms for Information Transmission and Controller Update. J Syst Sci Complex 35, 953–972 (2022). https://doi.org/10.1007/s11424-021-0200-7

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11424-021-0200-7

Keywords

Navigation