Consensus problems for linear time-invariant multi-agent systems with saturation constraints

被引:179
作者
Li, Y. [1 ]
Xiang, J. [2 ]
Wei, W. [2 ]
机构
[1] Zhejiang Univ City Coll, Sch Informat & Elect Engn, Hangzhou, Zhejiang, Peoples R China
[2] Zhejiang Univ, Coll Elect Engn, Dept Syst Sci & Engn, Hangzhou, Zhejiang, Peoples R China
基金
中国国家自然科学基金;
关键词
COORDINATION; AGENTS;
D O I
10.1049/iet-cta.2009.0299
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A class of networked multi-agent systems is studied in this study where each agent has an identical dynamics of a simple integrator and the topology of the connections is fixed. It is proved that, when there are saturation constraints, a general consensus protocol widely used in the literatures for this class of multi-agent systems remains valid. As an extension, a 'bang-bang' type of consensus protocol is proposed to achieve the finite-time consensus, which relaxes the previous undirected connection assumption.
引用
收藏
页码:823 / 829
页数:7
相关论文
共 21 条
[1]  
[Anonymous], 2003, 2003 AM CONTR C, DOI DOI 10.1109/ACC.2003.1239709
[2]  
[Anonymous], 2007, PROC 46 IEEE C DECIS, DOI DOI 10.1109/CDC.2007.4434671
[3]   The regulator problem for linear systems with saturations on the control and its increments or rate: An LMI approach [J].
Benzaouia, Abdellah ;
Tadeo, Fernando ;
Mesquine, Fouad .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2006, 53 (12) :2681-2691
[4]   Agreeing asynchronously [J].
Cao, Ming ;
Morse, A. Stephen ;
Anderson, Brian D. O. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (08) :1826-1838
[5]   Finite-time convergent gradient flows with applications to network consensus [J].
Cortés, Jorge .
AUTOMATICA, 2006, 42 (11) :1993-2000
[6]  
FILIPPOV A, 1990, SIAM REV, V32, P312
[7]  
Hu Tingshu, 2001, CONTROL ENGN SER
[8]   An analysis and design method for linear systems subject to actuator saturation and disturbance [J].
Hu, TS ;
Lin, ZL ;
Chen, BM .
AUTOMATICA, 2002, 38 (02) :351-359
[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]   Necessary and sufficient graphical conditions for formation control of unicycles [J].
Lin, ZY ;
Francis, B ;
Maggiore, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (01) :121-127