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:
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.
Finite-time formation control for first-order multi-agent systems with region constraints
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.
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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 . .
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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