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Event-triggered and self-triggered formation control of a multi-agent system

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Abstract

In this paper, a distributed event-triggered formation control algorithm for a multi-agent system which consists of linear discrete-time agents is proposed based on control theory. For agents to achieve a formation, it is necessary to communicate with each other to feedback their information. For communication, wireless communications are desirable for various tasks since wired networks can constrain their movement. Also, each agent have to observe their states from sensors. Those energy consumption due to unnecessary calculation and communication of agents may shorten battery life of agents. By using the event-triggered protocol, which updates the control input aperiodically only when certain triggering condition is satisfied, we aim to reduce those calculation and communication by reducing the input update frequency. Also the multi-agent system is guaranteed to achieve a formation by determining the triggering condition of the control input based on Lyapunov’s stability theorem. At the end of the paper, the effectiveness of the proposed algorithm is verified by numerical simulation.

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References

  1. Wen G, Zhao Y, Duan Z, Yu W, Chen G (2016) Containment of higher-order multi-leader multi-agent systems: a dynamic output approach. IEEE Trans Autom Control 61(4):1135–1140

    Article  MathSciNet  Google Scholar 

  2. Namerikawa T, Kuriki Y, Khalifa A (2018) Consensus-based cooperative formation control for multiquadcopter system with unidirectional network connections. J Dyn Syst Meas Control 140(4):044502

    Article  Google Scholar 

  3. Yoshikawa S, Kobayashi K, Yamashita Y (2017) Quantized event-triggered control of discrete-time linear systems with switching triggering conditions. In: Proceedings of 2017 56th annual conference of the Society of Instrument and Control Engineers of Japan (SICE), pp 313–316

  4. Kishida M (2019) Event-triggered control with self-triggered sampling for discrete-time uncertain systems. IEEE Trans Autom Control 64(3):1273–1279

    Article  MathSciNet  Google Scholar 

  5. Wang S, Zhang P, Fan Y (2015) Centralized event-triggered control of multi-agent systems with dynamic triggering mechanisms. In: Proceedings of the 27th Chinese control and decision conference, pp 2183–2187

  6. Hashimoto K, Adachi S, Dimarogonas DV (2015) Distributed aperiodic model predictive control for multi-agent systems. IET Control Theory Appl 9(1):10–20

    Article  MathSciNet  Google Scholar 

  7. Lu B, Fei C, Weiyao L (2015) Decentralized event-triggered control for rigid formation tracking. In: Proceedings of 2015 34th Chinese Control Conference (CCC), pp 1262–1267

  8. Yu H, Antsaklis PJ (2012) Formation control of multi-agent systems with connectivity preservation by using both event-driven and time-driven communication. In: Proceedings of 2012 IEEE 51st IEEE conference on decision and control (CDC), pp 7218–7223

  9. Chen X, Hao F, Ma B (2017) Periodic event-triggered cooperative control of multiple non-holonomic wheeled mobile robots. IET Control Theory Appl 11(6):890–899

    Article  MathSciNet  Google Scholar 

  10. Li X, Dong X, Li Q, Ren Z (2017) Decentralized event-triggered formation of linear multi-agent system. In: Proceedings of 2017 13th IEEE international conference on control and automation (ICCA), pp 988–993

  11. Ge X, Han Q (2017) Distributed formation control of networked multi-agent systems using a dynamic event-triggered communication mechanism. IEEE Trans Ind Electron 64(10):8118–8127

    Article  Google Scholar 

  12. Yoshioka C, Namerikawa T (2008) Observer-based consensus control strategy for multi-agent system with communication time delay. In: IEEE international conference on control applications, pp 1037–1042

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Authors and Affiliations

  1. Department of System Engineering, Keio University, Hiyoshi, Japan

    Toru Namerikawa, Ryo Toyota, Kento Kotani & Masamichi Akiyama

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  1. Toru Namerikawa
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  2. Ryo Toyota
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  3. Kento Kotani
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  4. Masamichi Akiyama
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Correspondence to Toru Namerikawa.

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Namerikawa, T., Toyota, R., Kotani, K. et al. Event-triggered and self-triggered formation control of a multi-agent system. Artif Life Robotics 25, 513–522 (2020). https://doi.org/10.1007/s10015-020-00646-y

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  • DOI: https://doi.org/10.1007/s10015-020-00646-y

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