WANG Lin , ZHANG Qingjie , CHEN Hongwei . Optimal control method for swarm systems formation with LQR performance index[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022 , 43(S1) : 726902 -726902 . DOI: 10.7527/S1000-6893.2022.26902

[1] WANG X K, CHEN H, ZHAO S L. Formation control of large-scale fixed-wing unmanned aerial vehicle swarms[J]. Control and Decision, 2021, 36(9): 2063-2073 (in Chinese). 王祥科, 陈浩, 赵述龙. 大规模固定翼无人机集群编队控制方法[J]. 控制与决策, 2021, 36(9): 2063-2073.
[2] XIE Y X, HAN L, DONG X W, et al. Bio-inspired adaptive formation tracking control for swarm systems with application to UAV swarm systems[J]. Neurocomputing, 2021, 453: 272-285.
[3] REN W. Consensus strategies for cooperative control of vehicle formations[J]. IET Control Theory & Applications, 2007, 1(2): 505-512.
[4] LIN Z Y, FRANCIS B, MAGGIORE M. Necessary and sufficient graphical conditions for formation control of unicycles[J]. IEEE Transactions on Automatic Control, 2005, 50(1):121-127.
[5]
[6] DONG X W, YU B C, SHI Z Y, et al. Time-varying formation control for unmanned aerial vehicles: Theories and applications[J]. IEEE Transactions on Control Systems Technology, 2014, 23(1): 340-348.
[7] NIAN X H, SU S J, PAN H. Consensus tracking protocol and formation control of multi-agent systems with switching topology[J]. Journal of Central South University of Technology, 2011, 18(4): 1178-1183.
[8] DONG X W, ZHOU Y, REN Z, et al. Time-varying formation control for unmanned aerial vehicles with switching interaction topologies[J]. Control Engineering Practice, 2016, 46: 26-36.
[9] DONG X W, SHI Z Y, LU G, et al. Time-varying formation control for high-order linear swarm systems with switching interaction topologies[J]. IET Control Theory & Applications, 2014, 8(18): 2162-2170.
[10] LIU W, ZHOU S L, QI Y H, et al. Distributed formation control for multiple unmanned aerial vehicles with directed switching communication topologies[J]. Control Theory & Applications, 2015, 32(10): 1422-1427(in Chinese). 刘伟, 周绍磊, 祁亚辉, 等. 有向切换通信拓扑下多无人机分布式编队控制[J]. 控制理论与应用, 2015, 32(10): 1422-1427.
[11] ZHAO X Y, ZHOU S L, QI Y H, et al. Formation control of multi-agent system with directed switching topology[J]. Computer Simulation, 2021, 38(1): 42-46(in Chinese). 赵学远, 周绍磊, 祁亚辉, 等. 有向切换拓扑下多智能体系统编队控制[J]. 计算机仿真, 2021, 38(1): 42-46.
[12] ZHOU S L, QI Y H, ZHANG L, et al. Time-varying formation control of UAV swarm systems with switching topologies[J]. Acta Aeronautica et Astronautica Sinica, 2017, 38(4): 320452 (in Chinese). 周绍磊, 祁亚辉, 张雷, 等. 切换拓扑下无人机集群系统时变编队控制[J]. 航空学报, 2017, 38(4): 320452.
[13] YU C B, WANG Y Q, SHAO J L. Optimization of formation for multi-agent systems based on LQR[J]. Frontiers of Information Technology & Electronic Engineering, 2016, 17(2): 96-109.
[14] QUAN W Z, LUO Z, YANG X G, et al. Guaranteed-performance formation tracking control of UAVs with intermittent communication[J]. Systems Engineering and Electronic, 2021, 43(11): 3288-3294(in Chinese). 权婉珍, 罗哲, 杨小冈, 等.间歇通信条件下多无人机保性能编队追踪控制[J]. 系统工程与电子技术, 2021, 43(11):3288-3294.
[15]
[16] REN W, BEARD R W. Consensus seeking in multiagent systems under dynamically changing interaction topologies[J]. IEEE Transactions on Automatic Control, 2005, 50(5): 655-661.
[17] LIU W, ZHOU S L, WU Q P, et al. H∞ consensus of multi-agent systems in directed networks with Lipschitz non-linear dynamics[J]. Transactions of the Institute of Measurement and Control, 2017, 39(12): 1877-1884.
[18] CBEN C T. Linear system theory and design[M]. New York: Holt, Rinehart and Winston, Inc., 1970: 132-134.
[19]
[20] QI Y H, ZHOU S L, KANG Y H, et al. Formation control for unmanned aerial vehicles with directed and switching topologies[J]. International Journal of Aerospace Engineering, 2016, 2016: 7657452.
[21] NAIDU D S. Optimal control systems[M]. Boca Raton:CRC Press, 2002.