Adaptive consensus of multi-agents in networks with jointly connected topologies

被引:240
作者
Yu, Hui [1 ,2 ]
Xia, Xiaohua [2 ]
机构
[1] China Three Gorges Univ, Coll Sci, Yichang 443002, Peoples R China
[2] Univ Pretoria, Dept Elect Elect & Comp Engn, Ctr New Energy Syst, ZA-0002 Pretoria, South Africa
关键词
Consensus; Adaptive control; Parameter convergence; Jointly connected topology; Multi-agent systems; MOBILE AUTONOMOUS AGENTS; MOTION COORDINATION; REFERENCE VELOCITY; SYSTEMS; LEADER; DELAYS;
D O I
10.1016/j.automatica.2012.05.068
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, the consensus problem of multi-agent following a leader is studied. An adaptive design method is presented for multi-agent systems with non-identical unknown nonlinear dynamics, and for a leader to be followed that is also nonlinear and unknown. By parameterizations of unknown nonlinear dynamics of all agents, a decentralized adaptive consensus algorithm is proposed in networks with jointly connected topologies by incorporating local consensus errors in addition to relative position feedback. Analysis of stability and parameter convergence of the proposed algorithm are conducted based on algebraic graph theory and Lyapunov theory. Finally, examples are provided to validate the theoretical results. (c) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1783 / 1790
页数:8
相关论文
共 26 条
[1]   Adaptive design for reference velocity recovery in motion coordination [J].
Bai, He ;
Arcak, Murat ;
Wen, John T. .
SYSTEMS & CONTROL LETTERS, 2008, 57 (08) :602-610
[2]   Adaptive motion coordination: Using relative velocity feedback to track a reference velocity [J].
Bai, He ;
Arcak, Murat ;
Wen, John T. .
AUTOMATICA, 2009, 45 (04) :1020-1025
[3]   Distributed adaptive control for synchronization of unknown nonlinear networked systems [J].
Das, Abhijit ;
Lewis, Frank L. .
AUTOMATICA, 2010, 46 (12) :2014-2021
[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]  
Godsil C., 2001, Algebraic graph theory
[6]   Agreement over random networks [J].
Hatano, Y ;
Mesbahi, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (11) :1867-1872
[7]   Tracking control for multi-agent consensus with an active leader and variable topology [J].
Hong, Yiguang ;
Hu, Jiangping ;
Gao, Linxin .
AUTOMATICA, 2006, 42 (07) :1177-1182
[8]   Decentralized Robust Adaptive Control for the Multiagent System Consensus Problem Using Neural Networks [J].
Hou, Zeng-Guang ;
Cheng, Long ;
Tan, Min .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2009, 39 (03) :636-647
[9]   Coordination of groups of mobile autonomous agents using nearest neighbor rules [J].
Jadbabaie, A ;
Lin, J ;
Morse, AS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (06) :988-1001
[10]   Quantized consensus [J].
Kashyap, Akshay ;
Basar, Tamer ;
Srikant, R. .
AUTOMATICA, 2007, 43 (07) :1192-1203