基于变步长龙格库塔法的高炮C-RAM解命中方法  

Hit solving method of antiaircraft gun C-RAM based on variable step size Runge-Kutta method

作　　者：刘新宇 舒立鹏[1] 林智伟[1] 吴晔 朱柏飞 唐旭 LIU Xinyu;SHU Lipeng;LIN Zhiwei;WU Ye;ZHU Bofei;TANG Xu(Northwest Institute of Mechanical and Electrical Engineering,Xianyang 712099,China)

机构地区：[1]西北机电工程研究所,陕西咸阳712099

出　　处：《兵器装备工程学报》2022年第11期297-304,共8页Journal of Ordnance Equipment Engineering

摘　　要：为解决传统高炮火控系统无法实现C-RAM解命中计算的问题,针对RAM目标的运动模式,提出了一种基于变步长龙格-库塔法的高炮C-RAM火控解命中方法。通过对应用定步长龙格库塔默森法的解命中方法进行仿真分析,总结了诸元解算过程中积分造成的误差与积分误差估计值之间的统计经验,基于该经验提出了积分实际误差与估计值的换算关系,基于该换算关系应用有最优步长控制策略的龙格库塔默森法进行C-RAM解命中计算。将该方法与采用4阶龙格库塔法以及龙格库塔夏普法的C-RAM解命中方法进行对比验证。仿真结果表明:通过最优步长控制,该方法可在不同斜距离下保证解算精度,实现对解算时间的最优控制,且默森法也是最适合用于C-RAM解命中计算中变步长控制的方法。In order to solve the problem that the traditional antiaircraft gun fire control system cannot realize the c-ram solution hit calculation,aiming at the movement mode of ram target,an antiaircraft gun c-ram fire control solution hit method based on variable step Runge-Kutta method was proposed.Through the simulation analysis of the solution hit method using the fixed step Runge-Kutta-Merson method,the statistical experience between the error caused by integration and the estimated value of integration error in the process of data solution was summarized.Based on this experience,the conversion relationship between the actual error of integration and the estimated value was proposed.Based on this conversion relationship,the solution hit of c-ram was calculated by using the Runge-Kutta-Merson method with optimal step control strategy.This method was compared with the c-ram solution hit method using fourth-order Runge-Kutta method and Runge-Kutta-sharp method.The simulation results show that through the optimal step control,this method can ensure the solution accuracy and realize the optimal control of the solution time under different oblique distances,and Merson method is also the most suitable method for variable step control in c-ram solution hit calculation.

关 键 词：龙格库塔法 变步长 C-RAM 高炮 诸元解算 最优步长控制 

分 类 号：TJ35[兵器科学与技术—火炮、自动武器与弹药工程]