
FOLLOWUS
College of Science, Civil Aviation University of China, Tianjin 300300, China
College of Artificial Intelligence, Nankai University, Tianjin 300350, China
YANG Zhengquan, E-mail: zquanyang@163.com
[ "PAN Xiaofang, E-mail: 1219006322@qq.com" ]
[ "ZHANG Qing, E-mail: qz120168@hotmail.com" ]
[ "CHEN Zengqiang, E-mail: chenzq@nankai.edu.cn" ]
收稿:2020-04-19,
修回:2020-;9-28,
纸质出版:2021-01
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杨正全, 潘小芳, 张青, 等. 具有区域约束的一阶多智能体系统的有限时间编队控制[J]. 信息与电子工程前沿(英文), 2021,22(1):134-140.
Zhengquan YANG, Xiaofang PAN, Qing ZHANG, et al. Finite-time formation control for first-order multi-agent systems with region constraints[J]. Frontiers of Information Technology & Electronic Engineering, 2021, 22(1): 134-140.
杨正全, 潘小芳, 张青, 等. 具有区域约束的一阶多智能体系统的有限时间编队控制[J]. 信息与电子工程前沿(英文), 2021,22(1):134-140. DOI: 10.1631/FITEE.2000177.
Zhengquan YANG, Xiaofang PAN, Qing ZHANG, et al. Finite-time formation control for first-order multi-agent systems with region constraints[J]. Frontiers of Information Technology & Electronic Engineering, 2021, 22(1): 134-140. DOI: 10.1631/FITEE.2000177.
研究具有区域约束的多智能体系统的有限时间编队控制问题。多智能体具有一阶动力学和一个共同目标区域。提出一种利用局部信息和交互作用的控制算法。如果通信图是无向连通的以及所设计框架是刚性的,证明该控制器可用于解决具有目标区域的编队问题。该控制算法可控制所有智能体在有限时间内进入所需区域,同时达到并保持所需队形。最后,给出一个数值例子说明算法的有效性。
In this study
the finite-time formation control of multi-agent systems with region constraints is studied. Multiple agents have first-order dynamics and a common target area. A novel control algorithm is proposed using local information and interaction. If the communication graph is undirected and connected and the desired framework is rigid
it is proved that the controller can be used to solve the formation problem with a target area. That is
all agents can enter the desired region in finite time while reaching and maintaining the desired formation shapes. Finally
a numerical example is given to illustrate the results.
L Asimow , , , B Roth . . The rigidity of graphs, Ⅱ . . J Math Anal Appl , , 1979 . . 68 ( ( 1 ): ): 171 - - 190 . . DOI: 10.1016/0022-247X(79)90108-2 http://doi.org/10.1016/0022-247X(79)90108-2 . .
M Basiri , , , AN Bishop , , , P Jensfelt . . Distributed control of triangular formations with angle-only constraints . . Syst Contr Lett , , 2010 . . 59 ( ( 2 ): ): 147 - - 154 . . DOI: 10.1016/j.sysconle.2009.12.010 http://doi.org/10.1016/j.sysconle.2009.12.010 . .
SP Bhat , , , DS Bernstein . . Finite-time stability of continuous autonomous systems . . SIAM J Contr Optim , , 2000 . . 38 ( ( 3 ): ): 751 - - 766 . . DOI: 10.1137/S0363012997321358 http://doi.org/10.1137/S0363012997321358 . .
XW Dong , , , GQ Hu . . Time-varying formation control for general linear multi-agent systems with switching directed topologies . . Automatica , , 2016 . . 73 47 - - 55 . . DOI: 10.1016/j.automatica.2016.06.024 http://doi.org/10.1016/j.automatica.2016.06.024 . .
XW Dong , , , JX Xi , , , G Lu , , , 等 . . Formation control for high-order linear time-invariant multiagent systems with time delays . . IEEE Trans Contr Netw Syst , , 2014 . . 1 ( ( 3 ): ): 232 - - 240 . . DOI: 10.1109/TCNS.2014.2337972 http://doi.org/10.1109/TCNS.2014.2337972 . .
M Egerstedt , , , XM Hu . . Formation constrained multi-agent control . . IEEE Trans Rob Autom , , 2001 . . 17 ( ( 6 ): ): 947 - - 951 . . DOI: 10.1109/70.976029 http://doi.org/10.1109/70.976029 . .
P Erd s , , , A Rényi . . On random graphs I . . Publ Math , , 1959 . . 6 290 - - 297 . . . .
F Facchinei , , , JS Pang . . Finite-Dimensional Variational Inequalities and Complementarity Problems . . Springer-Verlag, New York, USA , , 2003 . . p.751 - - 766 . . DOI: 10.1007/b97543 http://doi.org/10.1007/b97543 . .
JA Fax , , , RM Murray . . Information flow and cooperative control of vehicle formations . . IEEE Trans Autom Contr , , 2004 . . 49 ( ( 9 ): ): 1465 - - 1476 . . DOI: 10.1109/TAC.2004.834433 http://doi.org/10.1109/TAC.2004.834433 . .
SS Ge , , , XM Liu , , , CH Goh , , , 等 . . Formation tracking control of multiagents in constrained space . . IEEE Trans Contr Syst Technol , , 2016 . . 24 ( ( 3 ): ): 992 - - 1003 . . DOI: 10.1109/TCST.2015.2472959 http://doi.org/10.1109/TCST.2015.2472959 . .
YG Hong , , , JK Wang , , , DZ Cheng . . Adaptive finite-time control of nonlinear systems with parametric uncertainty . . IEEE Trans Autom Contr , , 2006 . . 51 ( ( 5 ): ): 858 - - 862 . . DOI: 10.1109/TAC.2006.875006 http://doi.org/10.1109/TAC.2006.875006 . .
G Lafferriere , , , A Williams , , , J Caughman , , , 等 . . Decentralized control of vehicle formations . . Syst Contr Lett , , 2005 . . 54 ( ( 9 ): ): 899 - - 910 . . DOI: 10.1016/j.sysconle.2005.02.004 http://doi.org/10.1016/j.sysconle.2005.02.004 . .
WX Li , , , ZQ Chen , , , ZX Liu . . Leader-following formation control for second-order multiagent systems with time-varying delay and nonlinear dynamics . . Nonl Dynam , , 2013 . . 72 ( ( 4 ): ): 803 - - 812 . . DOI: 10.1007/s11071-013-0754-6 http://doi.org/10.1007/s11071-013-0754-6 . .
KK Oh , , , HS Ahn . . Formation control of mobile agents based on distributed position estimation . . IEEE Trans Autom Contr , , 2013 . . 58 ( ( 3 ): ): 737 - - 742 . . DOI: 10.1109/TAC.2012.2209269 http://doi.org/10.1109/TAC.2012.2209269 . .
KK Oh , , , MC Park , , , HS Ahn . . A survey of multi-agent formation control . . Automatica , , 2015 . . 53 424 - - 440 . . DOI: 10.1016/j.automatica.2014.10.022 http://doi.org/10.1016/j.automatica.2014.10.022 . .
M Porfiri , , , DG Roberson , , , DJ Stilwell . . Tracking and formation control of multiple autonomous agents: a two-level consensus approach . . Automatica , , 2007 . . 43 ( ( 8 ): ): 1318 - - 1328 . . DOI: 10.1016/j.automatica.2007.01.004 http://doi.org/10.1016/j.automatica.2007.01.004 . .
H Rezaee , , , F Abdollahi . . Pursuit formation of doubleintegrator dynamics using consensus control approach . . IEEE Trans Ind Electron , , 2015 . . 62 ( ( 7 ): ): 4249 - - 4256 . . DOI: 10.1109/tie.2014.2384479 http://doi.org/10.1109/tie.2014.2384479 . .
Z Sun , , , S Mou , , , M Deghat , , , 等 . . Finite time distance-based rigid formation stabilization and flocking . . IFAC Proc Vol , , 2014 . . 47 ( ( 3 ): ): 9183 - - 9189 . . DOI: 10.3182/20140824-6-za-1003.00662 http://doi.org/10.3182/20140824-6-za-1003.00662 . .
YQ Xia , , , XT Na , , , ZQ Sun , , , 等 . . Formation control and collision avoidance for multi-agent systems based on position estimation . . ISA Trans , , 2016 . . 61 ( ( 9 ): ): 287 - - 296 . . DOI: 10.1016/j.isatra.2015.12.010 http://doi.org/10.1016/j.isatra.2015.12.010 . .
F Xiao , , , L Wang , , , J Chen , , , 等 . . Finite-time formation control for multi-agent systems . . Automatica , , 2009 . . 45 ( ( 11 ): ): 2605 - - 2611 . . DOI: 10.1016/j.automatica.2009.07.012 http://doi.org/10.1016/j.automatica.2009.07.012 . .
GM Xie , , , L Wang . . Moving formation convergence of a group of mobile robots via decentralised information feedback . . Int J Syst Sci , , 2009 . . 40 ( ( 10 ): ): 1019 - - 1027 . . DOI: 10.1080/00207720902974603 http://doi.org/10.1080/00207720902974603 . .
ZQ Yang , , , Q Zhang , , , ZQ Chen . . Formation control of multi-agent systems with region constraint . . Complexity , , 2019 . . 2019 8481060 DOI: 10.1155/2019/8481060 http://doi.org/10.1155/2019/8481060 . .
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