诱饵干扰下无人机集群攻击阈值控制方法

Study on the Attack Threshold Control Methods in UAV Clusters’Combat under Baits Jamming

针对诱饵干扰下无人机集群作战中的计算量爆炸,攻击阈值控制解算困难问题,给出了一种基于兰彻斯特方程和最优控制模型的无人机集群作战攻击阈值控制方法。从机载雷达的性能出发,建立作战双方兵力损耗的微分方程,从而构建改进兰彻斯特方程;以兰彻斯特方程为最优控制的状态方程,以无人机攻击阈值为控制变量,建立弹药约束下无人机集群空战的最优控制模型,并且证明一方剩余兵力的最大化等价于另一方剩余兵力的最小化;最后采用直接凸优化法对最优控制问题进行求解,并进行仿真验证。

The purpose of this paper is to solve the calculation problems of attack threshold caused by calculated explosion in UAV clusters’combat under baits pamming.The UAV clusters’attack threshold control method is given based on the Lanchester equations and optimal control model.Firstly,on the basis of operational performance of airborne radar,the differential equations of the both sides’force attritions are established,so that the improved Lanchester equations can be constructed.Secondly,tasking the Lanchester equations as state equations of the optimal control,and taking UAVs’attacking threshold as the control variables,the UAV clusters’combat optimal control model can be established under ammunition constraints.And it is proved that maximizing the remaining forces of one side is equal to minimizing the remaining forces of the other side.Finally,the optimal control problem is solved with Direct Convex Optimization Method,and the simulation verification is carried out.