| 不确定条件下采用协方差描述函数法的再入轨迹鲁棒优化 |
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| 引用本文： | 刘旭,李响,张后军,郭宇恒,王晓鹏.不确定条件下采用协方差描述函数法的再入轨迹鲁棒优化[J].宇航学报,2021,42(11):1404-1415. |
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| 作者姓名： | 刘旭 李响 张后军 郭宇恒 王晓鹏 |
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| 作者单位： | 1.北京理工大学宇航学院,北京 100081；2. 北京机电工程研究所,北京 100083；3. 上海机电工程研究所,上海 200233 |
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| 基金项目： | 航空科学基金（51872003） |
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| 摘 要： |
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| 关 键 词： | 再入轨迹优化 鲁棒优化 不确定性传播 协方差分析 描述函数 |
| 收稿时间： | 2020-12-10 |
Robust Reentry Trajectory Optimization under Uncertainties Using Covariance Analysis Describing Function Technique |
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| LIU Xu,LI Xiang,ZHANG Hou jun,GUO Yu heng,WANG Xiao peng.Robust Reentry Trajectory Optimization under Uncertainties Using Covariance Analysis Describing Function Technique[J].Journal of Astronautics,2021,42(11):1404-1415. |
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| Authors: | LIU Xu LI Xiang ZHANG Hou jun GUO Yu heng WANG Xiao peng |
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| Affiliation: | 1. School of Aerospace Engineering,Beijing Institute of Technology, Beijing 100081, China; 2. Beijing Research Institute of Mechanical & Electrical Technology, Beijing 100083, China; 3. Shanghai Electro Mechanical Engineering Institute, Shanghai 200233, China |
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| Abstract: | Uncertainties are taken into account in reentry trajectory optimization and a robust trajectory optimization model is constructed based on the robust optimization theory. There are computational difficulties in solving this robust trajectory optimization problem due to the random variables associated with the uncertainties. To overcome these difficulties, the covariance analysis describing function technique (CADET) is employed to convert the robust trajectory optimization model into an equivalent deterministic trajectory optimization formulation, which is then solvable by using the existing pseudo spectral method. In the case study, a robust reentry trajectory optimization problem considering the uncertainties of aerodynamic parameters is solved to obtain the robust optimal trajectories. By comparing with the traditional deterministic optimal trajectories, the robust optimal trajectories are significantly less sensitive to the uncertainties of aerodynamic parameters, showing the effectiveness of the presented method. |
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