基于Gauss伪谱法的平流层飞艇上升段航迹规划

上海交通大学学报（自然版） ›› 2013, Vol. 47 ›› Issue (08): 1205-1209.

基于Gauss伪谱法的平流层飞艇上升段航迹规划

张礼学1，王中伟1，杨希祥1，宋庆雷2

（1. 国防科学技术大学航天科学与工程学院，长沙 410073； 2. 61541部队，北京 100094）

收稿日期:2012-10-12 出版日期:2013-08-29 发布日期:2013-08-29

Ascent Trajectory Planning for Stratospheric Airship Based on Gauss Pseudospectral Method

ZHANG Lixue1,WANG Zhongwei1,YANG Xixiang1,SONG Qinglei2

(1. College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China; 2. No. 61541 Unit, People’s Liberation Army, Beijing 100094, China)

Received:2012-10-12 Online:2013-08-29 Published:2013-08-29

摘要/Abstract

摘要：

引入净浮力计算方法，完善了平流层飞艇航迹规划问题的数学模型，并通过对其飞行过程的分析，得出了模型的目标函数和约束条件.基于Gauss伪谱法对时间最少和能量最省2种情况下的平流层飞艇上升段航迹进行了规划.仿真结果表明，飞艇的最短上升时间为2 913.6 s, 在时间允许的情况下飞艇可以实现零耗能升空.仿真结果可为平流层飞艇的总体设计提供有益参考.

关键词: 平流层飞艇, 航迹规划, 最优控制, Gauss 伪谱法

Abstract:

The trajectory planning model for stratosphere airship ascent was completed by introducing the net buoyancy calculate method. The objective function and constraints was deduced from the flight characteristic analysis of stratospheric airship ascent process. In addition, the minimum ascent time and minimum energy use were simulated based on the Gauss pseudospectral method. The results show that the minimum ascent time for airship is 2 913.6 s; and if the ascent time is abundant, stratospheric airship can fly to 20 km without exhausting any energy. The simulation results can provide useful reference for stratosphere airship integrated design and argument.

Key words: stratospheric airships, trajectory planning, optimal control, Gauss pseudospectral method

中图分类号:

V 274

张礼学1，王中伟1，杨希祥1，宋庆雷2. 基于Gauss伪谱法的平流层飞艇上升段航迹规划[J]. 上海交通大学学报（自然版）, 2013, 47(08): 1205-1209.

ZHANG Lixue1,WANG Zhongwei1,YANG Xixiang1,SONG Qinglei2. Ascent Trajectory Planning for Stratospheric Airship Based on Gauss Pseudospectral Method[J]. Journal of Shanghai Jiaotong University, 2013, 47(08): 1205-1209.

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