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

• Published in: Energies (Basel) Vol. 13; no. 7; p. 1808
• Main Authors: Xu, Guang-Hui, Xu, Meng, Ge, Ming-Feng, Ding, Teng-Fei, Qi, Feng, Li, Meng
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.04.2020
• Subjects: Algorithms; Communication; Eigenvalues; event-based consensus; hierarchical event-based control; hierarchical leader–follower network; layer-to-layer delays; Leadership
• ISSN: 1996-1073; 1996-1073
• DOI: 10.3390/en13071808

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.