Abstract
In this paper, the leaderless consensus problem is considered for multi-agent systems under antagonistic interactions. Based on the sampled data, we propose an event-triggered mechanism to determine when the current state should be transmitted. This mechanism inherits the merits of both periodic and event-triggered transmission ways, thus reducing the energy consumption. Then, an event-triggered protocol is designed in a fully distributed manner to guarantee the consensus with the same magnitude but opposite sign. Different from the existing results, the designed protocol is implemented for a general digraph containing a spanning tree, and there is no restriction on the sampling period. Finally, the achievement of consensus and the validity of the obtained protocol are demonstrated by simulations.
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This work was supported by the National Natural Science Foundation of China (Grant Nos. 61973189, 62073190), the Research Fund for the Taishan Scholar Project of Shandong Province of China (Grant No. ts20190905), and the Natural Science Foundation of Shandong Province of China (Grant No. ZR2020ZD25).
Yanan Qi is presently a Master student with the School of Control Science and Engineering, Shandong University, China. Her research interests include multi-agent systems and event-triggered control.
Rui Mu is currently pursuing a Ph.D. degree in control theory and control engineering with the School of Control Science and Engineering, Shandong University, Jinan, China. Her research interests include cooperative control, event-triggered control, and multi-agent systems.
Xianfu Zhang received his M.S. degree in fundamental mathematics from the School of Mathematics Sciences, Shandong Normal University, China, in 1999, and a Ph.D. degree in operational research and control from the School of Mathematics, Shandong University, China, in 2005. He joined the School of Control Science and Engineering, Shandong University, China, in 2012, where he is currently a professor. His main research interests include nonlinear systems, fractional-order systems, and time-delay systems.
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Qi, Y., Mu, R. & Zhang, X. Sampled-data-based Event-triggered Control for Multi-agent Systems under Antagonistic Interactions. Int. J. Control Autom. Syst. 20, 2483–2491 (2022). https://doi.org/10.1007/s12555-021-0197-7
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DOI: https://doi.org/10.1007/s12555-021-0197-7