导弹发射包线指数优化搜索仿真分析

以某型近距空空格斗导弹为例，针对传统计算导弹发射包线精度较低、模型复杂、解算耗时长问题，分析影响导弹发射包线形状大小的重要参数，建立简化的导弹六自由度运动模型。在搜索包线边界时，综合考虑八个重要运动参数，构建指数多项式函数，粗略估算初始搜索空间，避免搜索初始值的盲目性。在黄金分割法的基础上，提出指数优化搜索算法，结合每次搜索值的空间误差和函数值误差，更新并优化下一次搜索的黄金分割点。利用模型和Matlab仿真平台，解算弹道轨迹，利用搜索到的边界值进一步优化距离多项式系数，使初始计算值更接近真实边界值。实验表明，本文方法解算的弹道轨迹和发射包线与实战中数据基本吻合，有效地提高了计算精度；指数优化搜索算法有效减少了仿真计算次数，缩短了整体耗时。

Simulation Analysis of Missile Launching Envelope withExponential Optimization Search

Taking a short range air to air missile as an example, aiming at theproblems of low accuracy, complex model and enormous time cost in calculatingthe missile’s envelope with traditional methods, theimportant parameters affecting the shape and size of the launch envelope areanalyzed, and a simplified six degree of freedom motion model of missile isestablished. When searching the envelope boundary, eight significant motionparameters are considered synthetically for the exponential polynomial function,and the initial search space is estimated roughly to avoid the blindness. Basedon the golden section method, the exponential optimization search algorithm isproposed to update and optimize the golden section value of the next search.The ballistic trajectory is solved using the model and simulation with Matlab,then the distance polynomial coefficients are further optimized by the searchedboundary values to improve the accuracy of the next initial space. Theexperimental results show that the trajectory and launch envelope calculated bythe method in this paper are basically consistent with the data in actualcombat, which effectively improves the calculation accuracy, and theexponential optimization search algorithm effectively reduces the number ofsimulation calculations and saves the overall time.