Formation-containment control for second-order multi-agent systems with time-varying delays

被引:60
作者
Han, Liang [1 ]
Dong, Xiwang [1 ]
Li, Qingdong [1 ]
Ren, Zhang [1 ]
机构
[1] Beihang Univ, Sch Automat Sci & Elect Engn, Sci & Technol Aircraft Control Lab, Beijing 100191, Peoples R China
基金
中国国家自然科学基金;
关键词
Formation-containment control; Second-order dynamics; Multi-agent systems; Time-varying delays; UNMANNED AERIAL VEHICLES; CONSENSUS; STRATEGIES; TOPOLOGIES; NETWORKS;
D O I
10.1016/j.neucom.2016.09.001
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, formation-containment control problems for multi-agent systems with second-order dynamics and time-varying delays are studied. The states of leaders are designed to achieve the time varying formation and the states of followers are required to converge to the convex hull spanned by those of leaders simultaneously, which differs from conventional formation control or containment control problems. Using the neighboring positions and velocities, formation-containment protocols with time-varying delays are constructed. By exploiting the space decomposition approach, formation-containment problems are transformed into the asymptotically stable problems. Sufficient conditions for second-order multi-agent systems with time-varying delays to realize formation-containment are presented. A method to obtain the unknown gain matrices in the protocols is proposed. Numerical simulations are shown to illustrate the effectiveness of the theoretical results. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码:439 / 447
页数:9
相关论文
共 41 条
[1]   Formation control of VTOL Unmanned Aerial Vehicles with communication delays [J].
Abdessameud, Abdelkader ;
Tayebi, Abdelhamid .
AUTOMATICA, 2011, 47 (11) :2383-2394
[2]   Distributed Containment Control for Multiple Autonomous Vehicles With Double-Integrator Dynamics: Algorithms and Experiments [J].
Cao, Yongcan ;
Stuart, Daniel ;
Ren, Wei ;
Meng, Ziyang .
IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 2011, 19 (04) :929-938
[3]  
Dimarogonas DV, 2006, IEEE DECIS CONTR P, P5969
[4]   Time-Varying Formation Control for Unmanned Aerial Vehicles: Theories and Applications [J].
Dong, Xiwang ;
Yu, Bocheng ;
Shi, Zongying ;
Zhong, Yisheng .
IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 2015, 23 (01) :340-348
[5]  
Ferrari-Trecate G, 2006, LECT NOTES COMPUT SC, V3927, P212
[6]  
GU K., 2003, CONTROL ENGN SER BIR
[7]  
Guzey HM, 2015, P AMER CONTR CONF, P4386, DOI 10.1109/ACC.2015.7172019
[8]   Tracking control of spacecraft formation flying with collision avoidance [J].
Hu, Qinglei ;
Dong, Hongyang ;
Zhang, Youmin ;
Ma, Guangfu .
AEROSPACE SCIENCE AND TECHNOLOGY, 2015, 42 :353-364
[9]   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
[10]   Containment control of multi-agent systems with fixed time-delays in fixed directed networks [J].
Li, Bo ;
Chen, Zeng-qiang ;
Liu, Zhong-xin ;
Zhang, Chun-yan ;
Zhang, Qing .
NEUROCOMPUTING, 2016, 173 :2069-2075