Abstract
In this paper, a novel predefined-time event-triggered control method is proposed, which achieved to the consistency of multi-agent systems with uncertain parameter. Firstly, a new predefined-time stability theorem is given, and the correctness and feasibility of this stability theorem are analyzed, the flexible preset time is more practical than the existed stability theorem. Compared with existing stability theorems, this theorem simplifies the conditions satisfied by Lyapunov function and is easier to implement in practical applications. Secondly, an event-triggered control strategy is designed to reduce control costs. Then, a new sufficient criterion is given to achieve the consistency of multi-agent systems with uncertain parameter based on the predefined-time stability theorem and event-triggered controller. In addition, the state consensus between nonlinear agents is completed in a predefined time, as well as the measurement error of the agent is converges to zero within the predefined time, respectively. Finally, the validity and feasibility of the given theoretical results are verified by a simulation example.
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Acknowledgements
This work is supported by the National Natural Science Foundation of China (Grant Nos.62103165, 62101213), and the Natural Science Foundation of Shandong Province (Grant No.ZR2022ZD01).
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Lu, Y. et al. (2024). Predefined-Time Event-Triggered Consensus for Nonlinear Multi-Agent Systems with Uncertain Parameter. In: Luo, B., Cheng, L., Wu, ZG., Li, H., Li, C. (eds) Neural Information Processing. ICONIP 2023. Lecture Notes in Computer Science, vol 14447. Springer, Singapore. https://doi.org/10.1007/978-981-99-8079-6_39
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DOI: https://doi.org/10.1007/978-981-99-8079-6_39
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