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

作     者：Wang, Honghai Han, Qing-Long 

作者机构：Northeastern Univ Coll Informat Sci & Engn State Key Lab Synthet Automat Proc Ind Shenyang 110819 Peoples R China Swinburne Univ Technol Sch Sci Comp & Engn Technol Melbourne Vic 3122 Australia 

出 版 物：《IEEE TRANSACTIONS ON AUTOMATIC CONTROL》 (IEEE Trans Autom Control)

年 卷 期：2024年第69卷第6期

页      面：4058-4065页

核心收录：

学科分类：0808[工学-电气工程] 08[工学] 0811[工学-控制科学与工程] 

基　　金：National Natural Science Foundation of China 

主　　题：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.