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无人机集群协同对抗最优策略研究

Study on Optimal Strategy of Collaborative Countermeasure for UAV Swarm
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摘要 无人机集群协同作战是未来智能化战争中不可或缺的作战模式.为了探究无人机集群协同对抗最优策略问题.首先建立双方无人机集群飞行状态函数,给出无人机打击、拦截的计算方法,提出蓝方无人机突防时间最短和红方无人机拦截时间最短的对抗策略,进而以红方无人机能够成功拦截蓝方无人机为约束条件,建立以攻击通道带宽最大为目标的优化模型,并利用拉格朗日乘子算法实现,得到红蓝双方无人机对抗的最优策略及最大通道带宽.最后以两架运载机搭载20架无人机拦截一架无人机进行实证分析,结果表明:红方两架运载机分两个波次,每波次发射5架无人机的拦截效果最好;且两架运载机发射第二波无人机集群的时间分别是87.3s和104.5s,无人机集群中心坐标分别为(25483,59638)和(27558,43854),通道带宽的上限为58.7km. The unmanned aerial vehicle(UAV)cluster cooperative operation is an indispensable mode of intelligent warfare in the future.In order to explore the optimal strategy of UAV swarm cooperative countermeasure.Firstly,the state function of UAV cluster flight is established,The calculation method of UAV strike and intercept is given,The countermeasures of the shortest penetration time of blue UAV and the shortest interception time of red UAV are put forward,In turn,the red UAV can successfully intercept the blue UAV as the constraint condition,An optimization model aiming at maximizing the bandwidth of the attack channel is established,Lagrange multiplier algorithm is used to achieve.The optimal strategy and maximum channel bandwidth of red and blue UAVs are obtained.Finally,two carrier aircraft carrying 20 UAVs intercepted a UAVs for empirical analysis,The results show that:Red two carrier aircraft divided into two waves,each wave launched 5 UAV intercept effect is the best;Moreover,the time of launching the second wave of UAV cluster from the two carrier aircraft is 87.3s and 104.5s respectively,and the central coordinates of UAV cluster are(25483,59638)and(27558,43854)respectively;The upper limit of the channel bandwidth is 58.7km.
作者 罗隆 张邻 王苏平 邓述海 LUO Long;ZHANG Lin;WANG Su-ping;DENG Shu-hai(School of Mathematics and Information Sciences,Nanchang 330063,China;School of Economics and Management,Nanchang Hangkong University,Nanchang 330063,China)
出处 《数学的实践与认识》 2021年第23期209-216,共8页 Mathematics in Practice and Theory
基金 国家自然科学基金(52062038) 南昌航空大学研究生创新专项资金项目(YC2020<053)。
关键词 无人机 协同对抗 优化 拉格朗日乘子算法 最优策略 UAV cooperative confrontation optimization lagrange multiplier algorithm the optimal strategy
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