基于协同攻击区的航空集群最优空间构型研究
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摘要
针对有人/无人机协同攻击中的航空集群最优空间构型问题,提出了基于自适应Tent混沌搜索灰狼优化算法的航空集群空间构型寻优方法。建立空空导弹协同攻击区数学模型,结合协同攻击区边界搜索方法,得到航空集群在任意空间构型下的协同攻击区解算方法;将自适应Tent混沌搜索方法应用到灰狼优化算法中,有效避免原算法易陷入局部最优和搜索速度慢的问题;以协同攻击区域大小作为目标函数,利用改进后的算法对航空集群空间构型进行寻优。仿真结果表明,改进后的算法能够有效地求得使航空集群协同攻击区域最大且我方伤亡最小的最优空间构型,且最优构型下航空集群协同攻击区明显大于单机攻击区的简单叠加。
An optimization method for spatial configuration of aircraft swarm based on self-adaptive Tent chaos search grey wolf optimizer is proposed for the optimal spatial configuration of aircraft swarm in the coordinated attack of fighters and unmanned aerial vehicles. A mathematical model of cooperative attack zone of air-to-air missiles is established,and a calculating method for cooperative attack zone under the condition of any aircraft swarm spatial configuration is proposed. The self-adaptive Tent chaos search is applied in grey wolf optimizer to improve the performance of the algorithm,thus avoiding the local optimum and the slow search speed. The size of cooperative attack zone is taken as the target function,and the spatial configuration of aircraft swarm is optimized by using the improved algorithm. The simulated results show that the improved algorithm can be used quickly to obtain the optimal spatial configuration with the largest cooperative attack zone and the minimal threat,and the cooperative attack zone of aircraft swarm is significantly larger than the sum of single aircraft attack zone under the optimal spatial configuration.
An optimization method for spatial configuration of aircraft swarm based on self-adaptive Tent chaos search grey wolf optimizer is proposed for the optimal spatial configuration of aircraft swarm in the coordinated attack of fighters and unmanned aerial vehicles. A mathematical model of cooperative attack zone of air-to-air missiles is established,and a calculating method for cooperative attack zone under the condition of any aircraft swarm spatial configuration is proposed. The self-adaptive Tent chaos search is applied in grey wolf optimizer to improve the performance of the algorithm,thus avoiding the local optimum and the slow search speed. The size of cooperative attack zone is taken as the target function,and the spatial configuration of aircraft swarm is optimized by using the improved algorithm. The simulated results show that the improved algorithm can be used quickly to obtain the optimal spatial configuration with the largest cooperative attack zone and the minimal threat,and the cooperative attack zone of aircraft swarm is significantly larger than the sum of single aircraft attack zone under the optimal spatial configuration.
引文
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[19]匡芳君,金忠,徐蔚鸿,等.Tent混沌人工蜂群与粒子群混合算法[J].控制与决策,2015,30(5):839-846.KUANG F J,JIN Z,XU W H,et al.Hybridization algorithm of Tent chaos artificial bee colony and particle swarm optimization[J].Control and Decision,2015,30(5):839-846.(in Chinese)
[20]ALATAS B,AKIN E,OZER A B.Chaos embedded particle swarm optimization algorithms[J].Chaos,Solitons&Fractals,2009,40(4):1715-1734.
[21]TAVAZOEI M S,HAERI M.Comparison of different one dimensional maps as chaotic search pattern in chaos optimization algorithms[J].Applied Mathematics and Computation,2007,187(2):1076-1085.
[22]SEYEDALI M,SEYED M M,ANDREW L.Grey wolf optimizer[J].Advances in Engineering Software,2014,69(3):46-61.
[23]SONG S H,HA I J.A Lyapunov-like approach to performance analysis of 3-dimensional pure PNG laws[J].IEEE Transactions on Aerospace&Electronic Systems,1994,30(1):239-247.
[24]CHO N,KIM Y.Modified pure proportional navigation guidance law for impact time control[J].Journal of Guidance,Control,and Dynamics,2016,39(4):852-872.
[2]LIANG X L,SUN Q,YIN Z H,et al.A study of aviation swarm convoy and transportation mission[C]∥Proceedings of the 4th International Conference on Advances in Swarm Intelligence.Verlag,German:Springer-Verlag,2013:368-375.
[3]朱磊,梁晓龙,张佳强,等.航空集群协同探测最优编队构型研究[J].火力与指挥控制,2017,42(10):69-72.ZHU L,LIANG X L,ZHANG J Q,et al.Research on aviation aircraft swarms cooperative detection optimal configuration[J].Fire Control&Command Control,2017,42(10):69-72.(in Chinese)
[4]张佳强,梁晓龙,尹忠海,等.航空集群协同反隐身构型与机动策略[J].系统工程与电子技术,2016,38(11):2518-2522.ZHANG J Q,LIANG X L,YIN Z H,et al.Design of aircraft swarm cooperation anti-stealth configuration and maneuver strategy[J].Systems Engineering and Electronics,2016,38(11):2518-2522.(in Chinese)
[5]梁晓龙,刘流,何吕龙,等.基于固定时间一致性的无人机集群构型变换[J].系统工程与电子技术,2018,40(7):1506-1512.LIANG X L,LIU L,HE L L,et al.UAV swarm formation reconfiguration based on fixed-time consensus[J].Systems Engineering and Electronics,2018,40(7):1506-1512.(in Chinese)
[6]张平,方洋旺,金冲,等.空空导弹攻击区实时解算的新方法[J].弹道学报,2010,22(4):11-14.ZHANG P,FANG Y W,JING C,et al.A new method of real time calculation for attack area of air-to-air missile[J].Journal of Ballistics,2010,22(4):11-14.(in Chinese)
[7]王志刚,张宁,李伟.一种空空导弹攻击区的快速解算方法[J].固体火箭技术,2014,37(4):448-452.WANG Z G,ZHANG N,LI W.A fast solving method for attacking area of air-to-air missile[J].Journal of Solid Rocket Technology,2014,37(4):448-452.(in Chinese)
[8]王凯,李望西,轩永波.基于BP神经网络的空空导弹攻击区解算及其仿真[J].弹箭与制导学报,2010,30(1):75-77.WANG K,LI W X,XUAN Y B.The solution and simulation of air-to-air missile launch envelopes based on BP neural network[J].Journal of Projectiles,Rockets,Missiles and Guidance,2010,30(1):75-77.(in Chinese)
[9]王海涛,佟惠军,王洋.基于改进的BP神经网络空空导弹攻击区解算方法[J].电子设计工程,2014,22(3):28-30.WANG H T,TONG H J,WANG Y.The solution of air-to-air missile launch envelopes based on the improved BP neural network[J].Electronic Design Engineering,2014,22(3):28-30.(in Chinese)
[10]刁兴华,方洋旺,伍友利,等.双机编队空空导弹协同发射区模拟仿真分析[J].北京航空航天大学学报,2014,40(3):370-376.DIAO X H,FANG Y W,WU Y L,et al.Simulation analysis on air-to-air missile allowable launch envelope about cooperative air combat of multi-fighter formation[J].Journal of Beijing University of Aeronautics and Astronautics,2014,40(3):370-376.(in Chinese)
[11]惠耀洛,南英,陈哨东,等.空空导弹动态攻击区的高精度快速算法研究[J].弹道学报,2015,27(2):39-45.HUI Y L,NAN Y,CHEN S D,et al.Research on rapid and high-precision calculation of dynamic attack zone for air-to-air missile[J].Journal of Ballistics,2015,27(2):39-45.(in Chinese)
[12]李强,夏群利,崔莹莹,等.空地制导炸弹可攻击区的快速解算方法[J].兵工学报,2012,33(2):390-394.LI Q,XIA Q L,CUI Y Y,et al.A fast-solving method of allowable attack area of air-to-surface guided bombs[J].Acta Armamentarii,2012,33(2):390-394.(in Chinese)
[13]聂心东,帅鹏,姜文志.舰舰协同制导下舰空导弹水平杀伤区研究[J].指挥控制与仿真,2009,31(3):29-31.NIE X D,SHUAI P,JIANG W Z.Study of ship-to-air missile horizontal launch envelops guided by ship-by-ship[J].Command Control&Simulation,2009,31(3):29-31.(in Chinese)
[14]聂心东,姜文志,刘兵.空舰协同制导下舰空导弹杀伤区低界研究[J].电光与控制,2009,16(6):24-27.NIE X D,JIANG W Z,LIU B.Study on low boundary of ship-toair missile killing zone based on coordinated guidance[J].Electronics Optics&Control,2009,16(6):24-27.(in Chinese)
[15]NIKUSOKHAN M,NOBAHARI H.Closed-form optimal cooperative guidance law against random step maneuver[J].IEEETransactions on Aerospace&Electronic Systems,2016,52(1):319-336.
[16]叶鹏鹏,盛安东,张蛟,等.非持续连通通信拓扑下的多导弹协同制导[J].兵工学报,2018,39(3):474-484.YE P P,SHENG A D,ZHANG J,et al.Cooperative guidance of multi-missile with unsustainable connected communication topology[J].Acta Armamentarii,2018,39(3):474-484.(in Chinese)
[17]ZHOU J,LY,LI Z,et al.Cooperative guidance law design for simultaneous attack with multiple missiles against a maneuvering target[J].Journal of Systems Science&Complexity,2018,31(1):287-301.
[18]SHAFERMAN V,SHIMA T.Cooperative differential games guidance laws for imposing a relative intercept angle[J].Journal of Guidance,Control,and Dynamics,2017,40(10):2465-2480.
[19]匡芳君,金忠,徐蔚鸿,等.Tent混沌人工蜂群与粒子群混合算法[J].控制与决策,2015,30(5):839-846.KUANG F J,JIN Z,XU W H,et al.Hybridization algorithm of Tent chaos artificial bee colony and particle swarm optimization[J].Control and Decision,2015,30(5):839-846.(in Chinese)
[20]ALATAS B,AKIN E,OZER A B.Chaos embedded particle swarm optimization algorithms[J].Chaos,Solitons&Fractals,2009,40(4):1715-1734.
[21]TAVAZOEI M S,HAERI M.Comparison of different one dimensional maps as chaotic search pattern in chaos optimization algorithms[J].Applied Mathematics and Computation,2007,187(2):1076-1085.
[22]SEYEDALI M,SEYED M M,ANDREW L.Grey wolf optimizer[J].Advances in Engineering Software,2014,69(3):46-61.
[23]SONG S H,HA I J.A Lyapunov-like approach to performance analysis of 3-dimensional pure PNG laws[J].IEEE Transactions on Aerospace&Electronic Systems,1994,30(1):239-247.
[24]CHO N,KIM Y.Modified pure proportional navigation guidance law for impact time control[J].Journal of Guidance,Control,and Dynamics,2016,39(4):852-872.