地空导弹杀伤区数值化模型研究

针对杀伤区在地空导弹射击指挥中的快速应用问题, 提出了一种杀伤区数值化建模技术. 采用最小二乘法对零航路捷径垂直杀伤区边界数据点进行分段曲线拟合, 获得垂直杀伤区拟合数学模型. 然后用分段线性插值技术对拟合杀伤区进行处理, 用折线函数对拟合曲线进行分段逼近, 获得用封闭形表示的垂直杀伤区数值模型. 根据零航路捷径的垂直杀伤区数值模型, 设计了一种快速生成不同航路捷径上垂直杀伤区数值模型的算法. 最后, 对与杀伤区有关的目标射击诸元参数的计算问题进行了探讨, 给出了发射区远、近界等参数的计算模型. 通过仿真实例分析表明, 构建的模型和算法合理有效, 对地空导弹指挥控制系统的研制具有较大的应用价值.

Research on numerical model of ground-to-air missile kill zone

According to the rapid application of the kill zone (KZ) in the ground to air missile (GAM) firing command, a numerical KZ modeling technique is proposed. The boundary data points of the vertical KZ which is at the zero course short cut are fitted to piecewise curves with the least square method. The fitting model of the vertical KZ is achieved. Then, the fitted KZ is processed by the piecewise linear interpolation technique. The piecewise curves are approximated with polygonal function, the numerical model of the vertical KZ which is expressed by a closed polygon is obtained. According to the numerical KZ model at the zero course short cut, an algorithm which rapidly generates the numerical KZ models at the different course short cut is designed. At last, the calculation problems of target firing parameters relating to the KZ are discussed. The models of the far and near boundary of launch zone and other parameters are established. By analyzing the simulation example, the models and algorithms are reasonable and effective. There is a great practical value in the development of the command and control system of GAM.