地形跟随系统中最优飞行参考轨迹的线性规划算法

Linear Programming Algorithm of Optimal Referance Flight Path in Terrain Following System

结合飞机地形跟随的实际,首先提出了在构造最优期望的地形跟随飞行轨迹时确定地形模型包线的方法。然后通过引入松驰变量,剩余变量和人工变量,构造辅助目标函数Z1,以及应用换基运算,对线性规划问题进行了必要的简化,使参考轨迹的计算更简便。航迹角修正法的采用,进一步修正了规划出的飞行轨迹,从而获得了理想的飞行参考轨迹。最后,以随机地形为例对规划出的最优飞行参考轨迹进行了数字仿真,其结果符合地形跟随时最优参考飞行轨迹的要求。

According to the fact of aircraft following terrain, first, the method to determine enclosing curve of terrain model is presented when optimal expecting flight path is constructed . then, flabby variable, remain variable and artificial variable are introduced to form auxiliary object function Z1, and in addition by applying operation of exchanging radix, the question of linear programming is necessarily simplified so as to make the calculation more simple . after adopting the correcting method of flight path angle, flight path planned is further modified and ideal reference flight path is obtained; last, as to the optimal flight path planned , numeral simulation are carried out by using various typical terrain ,the results accord with the requirements of optimal reference path in terrain following system.