面向集群对抗的多弹协同目标分配模型与仿真分析  

Cooperative Target Assignment Model and Simulation Analysis for Multiple Missiles Against Unmanned Aerial Vehicle Swarm

作　　者：吴诗辉[1] 贾军 鲍然 周宇[1] 夏青元[3] WU Shihui;JIA Jun;BAO Ran;ZHOU Yu;XIA Qingyuan(Equipment Management and UAV Engineering College,Air Force Engineering University,Xi’an 710051,Shaanxi,China;Shanghai Electro-Mechanical Engineering Institute,Shanghai 201109,China;School of Com-puter Science and Engineering,Nanjing University of Science and Technology,Nanjing 210094,Jiangsu,China)

机构地区：[1]空军工程大学装备管理与无人机工程学院,陕西西安710051 [2]上海机电工程研究所,上海201109 [3]南京理工大学计算机科学与工程学院,江苏南京210094

出　　处：《空天防御》2021年第3期1-9,共9页Air & Space Defense

基　　金：航天科技基金(SAST2019-007)。

摘　　要：本文提出了一种面向集群对抗的多弹协同目标分配方法。首先,将每个导弹与每个目标进行两两组合,利用比例导引法,对各组合情况下的弹目遭遇效果进行仿真,得到弹目遭遇时的末速度差。然后,以分配方案末速度差之和最大为优化目标,以给定分配均匀度为约束条件,将该问题转化为带约束的非平衡任务分配问题,并利用0-1线性规划方法进行优化求解。优化求解时,对于最优分配方案进行轨迹交叉判断,若出现交叉,则对其中一条轨迹进行惩罚,重新优化,直到得到满足要求的最优化分配方案。仿真结果表明,该方法可在较短的时间内获得集群对抗的优化分配方案,能够有效完成对目标的集群打击任务。In this paper,a cooperative target assignment algorithm for multiple missiles against unmanned aerial vehi⁃cle(UAV)swarms is proposed.First,each missile will intercept each UAV by simulation with proportional guidance law to obtain the final speed gap(FSG)when the missile and the UAV encounter.Then,taking the maximum sum of FSG of the assignment scheme as the optimization goal,and the giving maximum assigned missiles for a single target(MAM)as constraints,the problem is transformed to a non-equilibrium assignment problem with constraints,which can be solved by 0-1 linear programming.Meanwhile,a trajectory intersection judgement will be carried out for the op⁃timum assignment scheme,and once trajectory intersection exists,one of the trajectories will be punished to avoid tra⁃jectory intersection,and the non-equilibrium assignment model will be modified and re-optimized until the optimum as⁃signment scheme without trajectory intersection is obtained.Simulation results show that the proposed method can ob⁃tain the optimum assignment scheme for multiple missiles against UAV swarms in a short time,which can maximize the interception effects efficiently.

关 键 词：无人机集群 多导弹 非平衡指派模型 目标分配 轨迹交叉 

分 类 号：TJ760[兵器科学与技术—武器系统与运用工程]