用动态规划方法优化非机动飞机的飞行轨迹，使其燃油消耗最小

Q3 Mathematics

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI:10.1016/j.jappmathmech.2018.03.004

N.M. Grevtsov , S.A. Kumakshev , A.M. Shmatkov

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引用次数: 4

摘要

采用Bellman动态规划方法，构造了典型中程飞机在规定航程下的最优飞行轨迹。对飞机沿垂直平面轨迹运动的完整模型进行了最优轨迹计算。同时实现了对整个轨迹的优化，而无需将过程分解为单个步骤。这种方法可以考虑到飞机的技术特点和其他要求- -乘客的安全和舒适- -所施加的所有限制。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Optimization of the flight trajectory of a non-manoeuvrable aircraft to minimize fuel consumption by the dynamic programming method

Using Bellman's dynamic programming method, a fuel-consumption optimum flight trajectory of a typical mid-range aircraft is constructed for a prescribed range. The optimum trajectory was calculated for the full model of motion of the aircraft along a trajectory in a vertical plane. Optimization was realized simultaneously for the whole trajectory without decomposing the process into individual steps. The method made it possible to take into account all restrictions imposed both by technical peculiarities of the aircraft and also by other requirements – safety and comfort of the passengers.

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来源期刊

Pmm Journal of Applied Mathematics and Mechanics 物理-力学

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is a cover to cover translation of the Russian journal Prikladnaya Matematika i Mekhanika, published by the Russian Academy of Sciences and reflecting all the major achievements of the Russian School of Mechanics.The journal is concerned with high-level mathematical investigations of modern physical and mechanical problems and reports current progress in this field. Special emphasis is placed on aeronautics and space science and such subjects as continuum mechanics, theory of elasticity, and mathematics of space flight guidance and control.