Dryden型大气紊流对平流层飞艇能量最优轨迹影响
收稿日期: 2016-03-02
修回日期: 2016-05-22
网络出版日期: 2016-05-26
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
Received date: 2016-03-02
Revised date: 2016-05-22
Online published: 2016-05-26
Supported by
China Postdoctoral Science Foundation (20080440217, 200902666)
研究了常值风场作用下平流层飞艇的上升段轨迹优化和大气紊流对最优轨迹的影响问题。首先基于平流层飞艇的受力分析，建立了考虑常值风场、地球自转和飞艇质量变化等诸多因素的三自由度动力学模型，处理参数得到归一化的系统方程；其次采用直接配点法将平流层飞艇的最优轨迹问题转换为非线性规划问题，以最小能量为目标函数，给出非线性规划问题的求解策略，优化得出可行解后对飞艇的最优上升轨迹及相应的加速度项进行了分析，将优化的控制量代入微分方程验证了优化轨迹的准确性；最后加入Dryden型大气紊流的干扰，选取多组大气紊流干扰下的数据进行对比分析，仿真结果表明大气紊流叠加风场均值与飞艇终端位置误差存在一定规律，分析并提出了平流层飞艇抵御大气紊流干扰的策略。
关键词： 平流层飞艇; 轨迹优化; 直接配点法; 非线性规划; Dryden型大气紊流
郑黎明 , 杏建军 , 陈子昂 , 王祎 , 于洋 . Dryden型大气紊流对平流层飞艇能量最优轨迹影响[J]. 航空学报, 2017 , 38(1) : 120180 -120180 . DOI: 10.7527/S1000-6893.2016.0157
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.
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