Containment control of leader-following multi-agent systems with Markovian switching network topologies and measurement noises

被引:126
作者
Li, Wuquan [1 ,2 ]
Xie, Lihua [2 ]
Zhang, Ji-Feng [3 ]
机构
[1] Ludong Univ, Sch Math & Stat Sci, Yantai 264025, Peoples R China
[2] Nanyang Technol Univ, Sch Elect & Elect Engn, EXQUISITUS, Ctr E City, Singapore 639798, Singapore
[3] Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
基金
中国国家自然科学基金;
关键词
Containment tracking; Markovian switching; Multi-agent systems; Noisy measurement; ORDER NONLINEAR-SYSTEMS;
D O I
10.1016/j.automatica.2014.10.070
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 investigates the distributed containment tracking control problem for first-order agents with multiple dynamic leaders under directed Markovian switching network topologies. The control input of each agent can only use its local state and the states of its neighbors corrupted by white noises. Firstly, when the dynamic leaders' velocities have some special forms, which include the stationary leaders as a special case, some necessary and sufficient conditions are presented for the containment tracking in the asymptotic unbiased mean square sense. Secondly, for more general leaders' velocities, necessary and sufficient conditions are provided for the containment tracking with bounded errors in the mean square sense. Finally, a simulation example is given to illustrate the performance of the proposed control scheme. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码:263 / 267
页数:5
相关论文
共 10 条
[1]   Leader-foll owing coordination of multi-agent systems with coupling time delays [J].
Hu, Jiangping ;
Hong, Yiguang .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2007, 374 (02) :853-863
[2]   Containment control in mobile networks [J].
Ji, M. ;
Ferrari-Trecate, G. ;
Egerstedt, M. ;
Buffa, A. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (08) :1972-1975
[3]  
Li WQ, 2013, CHIN CONTR CONF, P7330
[4]   Output Tracking of Stochastic High-Order Nonlinear Systems with Markovian Switching [J].
Li, Wuquan ;
Wu, Zhaojing .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2013, 58 (06) :1585-1590
[5]   Further results on adaptive state-feedback stabilization for stochastic high-order nonlinear systems [J].
Li, Wuquan ;
Liu, Xiaohua ;
Zhang, Siying .
AUTOMATICA, 2012, 48 (08) :1667-1675
[6]   Target containment control of multi-agent systems with random switching interconnection topologies [J].
Lou, Youcheng ;
Hong, Yiguang .
AUTOMATICA, 2012, 48 (05) :879-885
[7]  
Mao X. R., 2006, Stochastic Differential Delay Equations With Markovian Switching, DOI [10.1142/p473, DOI 10.1142/P473]
[8]   Distributed finite-time attitude containment control for multiple rigid bodies [J].
Meng, Ziyang ;
Ren, Wei ;
You, Zheng .
AUTOMATICA, 2010, 46 (12) :2092-2099
[9]   Containment in leader-follower networks with switching communication topologies [J].
Notarstefano, G. ;
Egerstedt, M. ;
Haque, M. .
AUTOMATICA, 2011, 47 (05) :1035-1040
[10]   Containment Control of Multiagent Systems with Multiple Leaders and Noisy Measurements [J].
Tang, Zhao-Jun ;
Huang, Ting-Zhu ;
Shao, Jin-Liang .
ABSTRACT AND APPLIED ANALYSIS, 2012,