飞机纵向飞行轨迹的优化与实现

Trajectory Optimization of Aircraft Vertical Flight Profile

本文研究了飞机纵向飞行轨迹的优化技术,选用质点运动能量状态方程为飞机运动模型,直接操作成本为优化指标函数;飞机纵向飞行剖面被假定分为三个飞行段:爬升、巡航和下降;将能量状态引入指标函数,使其成为哈密顿函数中的独立变量,则由动态变分法和极小值原理得到对各飞行轨迹段的优化算法;尔后用Fibonacci单参数搜索法来予以实现。文中给出了部分仿真结果。

The trajectory optimization techniques of aircraft vertical flight profile were studied in this paper.The point-mass energy state approximation model of aircraft motion was used as state equations,direct operating cost (DOC)as the index functin.The vertical flight profile was assumed to have three flight segments climb,cruise and descent.The energy state was taken into the index function,and became the independent or time-like variable in the Hamilton function.By using the dynamic variation method and the minimum value principle,the optimization algorithms for three segments were developed,and the Fibonacci search method was used to realize the optimization process.Finally,some digital simulation results for a Boeing-707 aircraft model were given in this paper.