Distribution of Roots of Quasi-Polynomials of Neutral Type and Its Application- Part II: Consensus Protocol Design of Multi-Agent Systems Using Delayed State Information

• 成果类型: Article
• 署名作者: Wang, Honghai; Han, Qing-Long
• 署名单位: Northeastern University - China; Swinburne University of Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3345794
• 发表日期: 2024
• 页码: 4058-4065
• 关键词: Eigenvalues and eigenfunctions; Consensus protocol; DELAYS; Network topology; Multi-agent systems; Laplace equations; Delay effects; Consensus protocol design; distribution of eigenvalues; dynamic performance; multi-agent systems (MASs); time delay

摘要

This article develops an approach to achieving consensus while improving the dynamic performance for a class of homogeneous multi-agent systems (MASs) using delayed state information via eigenvalue assignment. Note that the distribution of roots of quasi-polynomials plays a fundamental role in the consensus protocol design of the MASs. Some necessary conditions for the distribution of roots for a class of quasi-polynomials are first derived. Then, these conditions are applied to estimate the allowable regions of the protocol parameters. Next, some necessary and sufficient conditions for the determination of effective protocol parameters are established. An illustrative example is provided to show the effectiveness of the designed protocols.