文献类型：期刊文献

英文题名：Cluster Tracking Performance Analysis of Linear Heterogeneous Multi-Agent Networks: A Complex Frequency Domain Approach

作者：Zhang, Wenle[1];Tang, Yang[1];Kocarev, Ljupco[2,3,4];Wu, Zheng-Guang[5]

机构：[1]East China Univ Sci & Technol, Key Lab Adv Control & Optimizat Chem Proc, Minist Educ, Shanghai 200237, Peoples R China;[2]Macedonian Acad Sci & Arts, Skopje 1000, North Macedonia;[3]Ss Cyril & Methodius Univ, Fac Comp Sci & Engn, Skopje 1000, North Macedonia;[4]Univ Calif San Diego, BioCircuits Inst, La Jolla, CA 92093 USA;[5]Zhejiang Univ, Inst Cyber Syst & Control, Natl Lab Ind Control Technol, Yuquan Campus, Hangzhou 310027, Peoples R China

年份：2020

卷号：67

期号：1

起止页码：259

外文期刊名：IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS

收录：;EI(收录号：20200508092121);WOS:【SCI-EXPANDED(收录号:WOS:000508385000023)】；

基金：This work was supported in part by the National Natural Science Foundation of China under Grant 61806079, Grant 61751305, and Grant 61673176, in part by the Programme of Introducing Talents of Discipline to Universities (the 111 Project) under Grant B17017, and in part by the Thousand Youth Talents Plan of China. This article was recommended by Associate Editor P. Shi.

语种：英文

外文关键词：Complex frequency domain analysis; multi-agent networks; cluster tracking control; signal flow diagram; steady-state error

摘要：This paper presents a complex frequency domain approach to investigate the cluster tracking performance of linear heterogeneous multi-agent networks. Firstly, a designed graph matrix is given to eliminate the interaction influence between coupled subnetworks with different tracking signals. On this basis, the cluster tracking performance analysis problem is decomposed into two parts, i.e., stability analysis and steady-state performance analysis of multi-agent networks. Secondly, based on the network structure, a minimum separable subgraph set is proposed to transform the stability of the multi-agent network into the stability of the separable subnetworks. Further, a signal flow diagram is introduced to solve the stability of the separable subnetworks. Thirdly, in view of Final-value theorem, a necessary and sufficient condition is proposed for achieving the cluster tracking control for the closed-loop stable multi-agent network. This result provides a strong theoretical basis for the flexible design of controllers due to that it quantitatively reveals the inherent law of steady-state performance for multi-agent networks. Finally, an algorithm is established to calculate the steady-state error of a general directed multi-agent network. Some simulations are provided to demonstrate the effectiveness of the theoretical results.