Preprint Article Version 1 This version is not peer-reviewed

Consensus for Linear Time-Varying Multi-agent Systems via Event-Triggered Communication

Version 1 : Received: 3 July 2024 / Approved: 3 July 2024 / Online: 3 July 2024 (10:09:20 CEST)

How to cite: Chi, W.; Zhang, X.; Wang, H.; Zhang, P.; Xie, W. Consensus for Linear Time-Varying Multi-agent Systems via Event-Triggered Communication. Preprints 2024, 2024070331. https://doi.org/10.20944/preprints202407.0331.v1 Chi, W.; Zhang, X.; Wang, H.; Zhang, P.; Xie, W. Consensus for Linear Time-Varying Multi-agent Systems via Event-Triggered Communication. Preprints 2024, 2024070331. https://doi.org/10.20944/preprints202407.0331.v1

Abstract

This paper represents the first investigation into the consensus problem of linear time-varying multi-agent systems utilizing an event-triggered communication scheme. First, a general event-triggered consensus control scheme is proposed for a general category of linear time-varying multi-agent systems. Under some suitable assumptions, it is demonstrated that all agents’ states will converge exponentially, with Zeno behaviour being ruled out. Second, the consensus problem in a network of linear time-varying multi-agent systems with a spanning tree is investigated using the proposed control strategy. It demonstrates that the consensus issue for the specified system can be reformulated as a stabilization problem for an error system through a time-varying linear transformation. Then, the event-triggered consensus problem is just a special instance of the general event-triggered consensus problem mentioned above. Finally, to illustrate the efficacy of the event-triggered method proposed in this study, simulation results are shown.

Keywords

Consensus; time-varying linear multi-agent systems; event-triggered communication; exponential convergence; Zeno behavior; distributed cooperative adaptation

Subject

Engineering, Control and Systems Engineering

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