H2 consensus control of time-delayed multi-agent systems: A frequency-domain method

被引：10
|
作者：
Ye, Fei [1 ,2 ]
Zhang, Weidong [1 ,2 ]
Ou, Linlin [3 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Automat, SE1EE Bldg 02-403,800 Dongchuan Rd, Shanghai 200240, Peoples R China
[2] Key Lab Syst Control & Informat Proc, Minist Educ, Shanghai 200240, Peoples R China
[3] Zhejiang Univ Technol, Coll Informat Engn, 288 Liuhe Rd, Hangzhou 310023, Zhejiang, Peoples R China
来源：
ISA TRANSACTIONS | 2017年 / 66卷
基金：
美国国家科学基金会;
关键词：
Consensus; Multi-agent systems; Time delays; H-2 performance index; Frequency domain; Robustness; H-INFINITY; NETWORKS; AGENTS; INPUT;
D O I：
10.1016/j.isatra.2016.09.016
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
An analytical H2 controller design approach of homogeneous multi-agent systems with time delays is presented to improve consensus performance. Firstly, a closed-loop multi-input multi-output framework in frequency domain is introduced, and a consensus tracking condition is given. Secondly, the decomposition method is utilized to simplify the analysis of internal stability and H2 performance index of the whole system to a set of independent optimization problems. Finally, the H2 optimal controller can be computed from all the stabilizing controllers. The contributions of the new approach are that the design procedure is conducted analytically for arbitrary delayed multi-agent systems, and a simple quantitative tuning way is developed to trade off the nominal performance and robustness. The simulation examples show the effectiveness of the proposed control strategy. (C) 2016 ISA. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：437 / 447
页数：11
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