Distributed Event-Based Control of Hierarchical Leader-Follower Networks with Time-Varying Layer-To-Layer Delays

Guang-Hui Xu, Meng Xu, Ming-Feng Ge, Teng-Fei Ding, Feng Qi and Meng Li
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Guang-Hui Xu: School of Electrical and Electronics Engineering, Hubei University of Technology, Wuhan 430068, China
Meng Xu: School of Electrical and Electronics Engineering, Hubei University of Technology, Wuhan 430068, China
Ming-Feng Ge: School of Mechanical Engineering and Electronic Information, China University of Geosciences, Wuhan 430074, China
Teng-Fei Ding: School of Mechanical Engineering and Electronic Information, China University of Geosciences, Wuhan 430074, China
Feng Qi: School of Electrical and Electronics Engineering, Hubei University of Technology, Wuhan 430068, China
Meng Li: School of Electrical and Electronics Engineering, Hubei University of Technology, Wuhan 430068, China

Energies, 2020, vol. 13, issue 7, 1-14

Abstract: Compared with the traditional multi-agent models, the hierarchical leader–follower network (HLFN) can describe some real-world multi-agent systems more precisely due to its layered properties. The distributed event-based consensus control problem of HLFNs with layer-to-layer delays, namely, communication delays among agents of different layers, is presented in this essay. In order to solve the aforementioned problem, several innovative hierarchical event-based control (HEC) algorithms are proposed. The sufficient conditions on the control parameters and event-triggered mechanism were derived to undertake the reliability of the closed-loop dynamics. Moreover, it is shown that the zeno-behaviors of the presented HEC algorithms can be excluded. Finally, there are some numerical examples that verify the availability of the results.

Keywords: event-based consensus; hierarchical leader–follower network; hierarchical event-based control; layer-to-layer delays (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2020
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