Consensus conditions for general second-order multi-agent systems with communication delay

被引:191
作者
Hou, Wenying [1 ]
Fu, Minyue [2 ,3 ]
Zhang, Huanshui [1 ]
Wu, Zongze [3 ]
机构
[1] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China
[2] Univ Newcastle, Sch Elect Engn & Comp Sci, Callaghan, NSW 2308, Australia
[3] Guangdong Univ Technol, Guangdong Key Lab IoT Informat Technol, Sch Automat, Guangzhou 510006, Guangdong, Peoples R China
基金
美国国家科学基金会;
关键词
Time-delay systems; Multi-agent systems; Frequency domain method; Second-order consensus; STABILITY; MARGIN;
D O I
10.1016/j.automatica.2016.09.042
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper studies the consensus problem for a class of general second-order multi-agent systems (MASs) with communication delay. We first consider the delay-free case and obtain a necessary and sufficient condition for consensus. Then, based on the obtained conditions for the delay-free case, we deduce an explicit formula for the delay margin of the consensus for the case with time delay using the relationship between the roots of the characteristic equation and the time delay parameter. In addition, we consider the special case where the second-order model is a double integrator. For this case, simpler consensus conditions under communication delay are provided. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码:293 / 298
页数:6
相关论文
共 21 条
[1]  
[Anonymous], 1997, Distributed Algorithms
[2]  
[Anonymous], 2011, P 2011 INT C DISTRIB
[3]  
Bauso D, 2003, 42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, P588
[4]   Information flow and cooperative control of vehicle formations [J].
Fax, JA ;
Murray, RM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (09) :1465-1476
[5]   Consensusability of linear multi-agent systems with time delay [J].
Hou, Wenying ;
Fu, Min Yue ;
Zhang, Huanshui .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2016, 26 (12) :2529-2541
[6]  
Lewis FL, 2014, COMMUN CONTROL ENG, P1, DOI 10.1007/978-1-4471-5574-4
[7]  
Lin J, 2003, 42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, P1508
[8]   Smart Grid Communication: Its Challenges and Opportunities [J].
Ma, Ruofei ;
Chen, Hsiao-Hwa ;
Huang, Yu-Ren ;
Meng, Weixiao .
IEEE TRANSACTIONS ON SMART GRID, 2013, 4 (01) :36-46
[9]   On the achievable delay margin using LTI control for unstable plants [J].
Middleton, Richard H. ;
Miller, Daniel E. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (07) :1194-1207
[10]   Stability of multiagent systems with time-dependent communication links [J].
Moreau, L .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (02) :169-182