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Adaptive coupling consensus of multi-agent systems with integral-based event-triggered mechanism

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Abstract

To solve the consensus of linear leaderless multi-agent systems, an adaptive coupling consensus integral-based event-triggered controller is discussed in this paper. Firstly, the dynamic equations of leaderless multi-agent systems are constructed, and consensus is transformed into the asymptotic convergence of closed-loop systems by model transformation. Then, a consensus integral-based event-triggered controller is designed. The event-triggered mechanism reduces the communication between neighbouring agents while also ensures system stability. The adaptive coupling gain is incorporated in the design of the consensus controller, which augments the self-regulation capability of the controller. In addition, stability of the system is proven through combining LMI and Lyapunov function, and Zeno phenomenon is ruled out. Finally, it is verified that there is a limit to the stable value of each adaptive coupling gain, proving that the integral-based event-triggered mechanism combines with adaptive coupling control is rational and effective.

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Acknowledgements

I would particularly like to acknowledge my team, for their wonderful collaboration and patient support.

Funding

This work was supported in part by the National Natural Science Foundation of China under Grants 62263019 and 61863026, in part by the Science and Technology Program of Gansu Province under Grant 21ZD4GA028.

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Authors

Contributions

ZW done supervision. JZ contributed to conceptualization, methodology, software, data curation, and writing-original draft preparation. YL done software and validation. H-TS helped in reviewing and editing the manuscript.

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Correspondence to Zhiwen Wang.

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Wang, Z., Zhou, J., Lu, Y. et al. Adaptive coupling consensus of multi-agent systems with integral-based event-triggered mechanism. Int. J. Dynam. Control (2024). https://doi.org/10.1007/s40435-024-01394-8

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  • DOI: https://doi.org/10.1007/s40435-024-01394-8

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