### Dryden型大气紊流对平流层飞艇能量最优轨迹影响

1. 中南大学 航空航天学院, 长沙 410083
• 收稿日期:2016-03-02 修回日期:2016-05-22 出版日期:2017-01-15 发布日期:2016-05-26
• 通讯作者: 杏建军,E-mail:xjj@csu.edu.cn E-mail:xjj@csu.edu.cn
• 基金资助:

中国博士后科学基金(20080440217，200902666)

### Effect of Dryden atmospheric turbulence on minimum-energy trajectory of stratospheric airships

ZHANG Liming, XING Jianjun, CHEN Ziang, WANG Yi, YU Yang

1. School of Aeronautics and Astronautics, Central South University, Changsha 410083, China
• Received:2016-03-02 Revised:2016-05-22 Online:2017-01-15 Published:2016-05-26
• Supported by:

China Postdoctoral Science Foundation (20080440217, 200902666)

Abstract:

This paper investigates the ascent optimal trajectory of stratospheric airship with constant wind and the effect of atmospheric turbulence on optimal trajectory. First, three-degree-of-freedom dynamics model of stratospheric airship was completed by forces analysis, considering the constant wind, earth rotation, mass rate and other factors, and then the variables were scaled to obtain a normalized system equation. Second, this problem of optimal trajectory was transformed into a problem of nonlinear programming by using the direct collocation method. Considering the minimum energy scenario, an appropriate solution for nonlinear programming problem was determined, and the feasible solution was obtained. Then the control history of solution was taken into the system equation to examine the feasibility and the acceleration components were analyzed. Finally, the Dryden atmospheric turbulence was introduced to the minimum energy scene, and then the data of computation and comparison analysis were obtained. By discussing the error between calculation and simulation, the relation of the error of final position and the mean of complex wind was found, and a strategy for resisting the interference of Dryden atmospheric turbulence for stratospheric airships was raised.