Analysis of H∞ Performance for Multiagent Networks

• 成果类型: Article
• 署名作者: Wang, Jiamin; Liu, Jian; Zheng, Yuanshi; Xi, Jianxiang
• 署名单位: Xidian University; Rocket Force University of Engineering
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3342060
• 发表日期: 2024
• 页码: 5125-5140
• 关键词: Laplace equations; Eigenvalues and eigenfunctions; Network topology; Directed graphs; uncertainty; Multi-agent systems; Sufficient conditions; Consensus networks; Graph Laplacian; H(infinity )performance; optimal sampling period

摘要

In this article, we analyze the H(infinity )performance of the first-order continuous-time multiagent consensus network and that of the corresponding sampled-data network in the presence of external disturbances. First, we build the quantitative relation between the H-infinity performance and the eigenvalues of directed graph Laplacian for the continuous-time multiagent network. Second, we establish the analytic expression of H-infinity performance for the sampled-data multiagent network, which depends not only on the eigenvalues of the Laplacian matrix but also on the sampling period. It is proved that there exists a unique optimal sampling period such that the sampled-data multiagent network obtains the optimal H-infinity performance. Furthermore, we show that the H-infinity performance of the sampled-data multiagent network is not better than that of the original continuous-time multiagent network. Finally, numerical tests are given on several well-known graphs.