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Distributed adaptive control of linear multi-agent systems with event-triggered communications

Author

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  • Guinaldo, M.
  • Sánchez, J.
  • Dormido, S.

Abstract

This paper addresses the average consensus problem of multi-agent systems with general linear dynamics via event-triggered communications. It is shown how the design of both the control law and the trigger functions depends on parameters of the overall system, and an algorithm is proposed to estimate these parameters in a distributed fashion that does not imply an increase in the number of the communications between agents. As a result, it yields an adaptive control law and an update of the trigger functions’ parameters only at event times. Proofs of asymptotic convergence to average consensus and existence of positive lower bound for the inter-event intervals are provided. Numerical simulations show the effectiveness of the proposed approach and how it compares to constant values of the parameters.

Suggested Citation

  • Guinaldo, M. & Sánchez, J. & Dormido, S., 2016. "Distributed adaptive control of linear multi-agent systems with event-triggered communications," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 195-207.
    • Handle: RePEc:eee:apmaco:v:274:y:2016:i:c:p:195-207
    DOI: 10.1016/j.amc.2015.10.090
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    Cited by:

    1. Wang, Xin & Su, Housheng, 2019. "Consensus of hybrid multi-agent systems by event-triggered/self-triggered strategy," Applied Mathematics and Computation, Elsevier, vol. 359(C), pages 490-501.
    2. Wu, Li-Bing & Wang, Heng & He, Xi-Qin & Zhang, Da-Qing, 2018. "Decentralized adaptive fuzzy tracking control for a class of uncertain large-scale systems with actuator nonlinearities," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 390-405.
    3. Tan, Yushun & Fei, Shumin & Liu, Jinliang & Zhang, Dan, 2019. "Asynchronous adaptive event-triggered tracking control for multi-agent systems with stochastic actuator faults," Applied Mathematics and Computation, Elsevier, vol. 355(C), pages 482-496.
    4. Wencheng Zou & Zhengrong Xiang, 2017. "Event-triggered distributed containment control of heterogeneous linear multi-agent systems by an output regulation approach," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(10), pages 2041-2054, July.
    5. Xu, Qiyi & Zhang, Yijun & He, Wangli & Xiao, Shunyuan, 2017. "Event-triggered networked H∞ control of discrete-time nonlinear singular systems," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 368-382.

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