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.

参考文献

［1］吴雷, 李勇,李智斌. 基于遗传算法的平流层飞艇航迹规划方法研究［J］.航天返回与遥感, 2011, 32(1):16.

WU Lei, LI Yong, LI Zhibin. The research of route planning for stratospheric airships based on genetic algorithms ［J］. Spacecraft Recovery& Remote Sensing, 2011, 32(1):16.

［2］王晓亮,刘丹,单雪雄. 飞艇三维航迹控制研究［J］.上海交通大学学报, 2006,40(12):21642168.

WANG Xiaoliang, LIU Dan, SHAN Xuexiong. Study on the three dimensional trajectory control for airship［J］. Journal of Shanghai Jiaotong University, 2006, 40(12) :21642168.

［3］WANG Xiaoliang, SHAN Xuexiong. Shape optimization of stratosphere airship［J］. Journal of Aircraft, 2006, 43(1)：283287.

［4］Wang Q B, Chen J A, Fu G Y, et al. An approach for shape optimization of stratosphere airships based on multidisciplinary design optimization［J］. Journal of Zhejiang University SCIENCE A, 2009, 10(11)：16091616.

［5］WANG H, SONG B, ZHU L. Effect of highaltitude airship’s attitude on performance of its energy system［J］. Journal of Aircraft, 2007,44(6)：20772079.

［6］Li X J, Fang X D, Fu G Y, et al. Research on thermal characteristics of photovoltaic array of stratospheric airship［J］. Journal of Aircraft, 2011, 48(4)：13801386.

［7］Zhao Yiyuan, Garrard W L, Mueller J B. Benefits of trajectory optimization in airship flights［C］//AIAA 3rd “Unmanned Unlimited” Technical Conference, Workshop and Exhibit. Chicago,USA: AIAA Press, 2004:114.

［8］Mueller J B, Zhao Yiyuan, Garrard W L. Optimal ascent trajectories for stratospheric airships using wind energy［J］. Journal of Guidance Control and Dynamics, 2009, 32(4):12321245.

［9］Sangjong Lee, Hyochoong Bang. Three dimensional ascent trajectory optimization for stratospheric airship platforms in the jet stream［J］. Journal of Guidance Control and Dynamics,2007,30(5) :13411352.

［10］Geoffrey T H, Anil V R. Optimal reconfiguration of spacecraft formations using the gauss pseudospectral method ［J］. Journal of Guidance Control and Dynamics, 2008,31(3) :689698.

［11］张煜, 张万鹏, 陈璟，等. 基于Gauss伪谱法的UCAV对地攻击武器投放轨迹规划［J］. 航空学报, 2012,32(7):12401251.

ZHANG Yu, ZHANG Wanpeng, CHEN Jing, et al. Airtoground weapon delivery trajectory planning for UCAVs using gauss pseudospectral method ［J］. Acta Aeronautica et Astronautioa Sinica, 2012,32(7) :12401251.

［12］Mueller J B, Michael A P, Zhao Y Y. Development of an aerodynamic model and control law design for a high altitude airship ［C］// AIAA 3rd “Unmanned Unlimited” Technical Conference, Workshop and Exhibit. Chicago, USA: AIAA Press, 2004:117.

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