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| PengYu1,2,Ji-FengZhang3,ShupingTan4,JinGuo1,2,YanlongZhao3 |
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| (1 School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, China
2 Key Laboratory of Knowledge Automation for Industrial Processes, Ministry of Education, Beijing 100083, China;3 Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China;4 Beijing Institute of Control Engineering, Beijing 100094, China) |
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| DOI：https://doi.org/10.1007/s11768-024-00221-x |
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| 基金项目:This research was supported by the National Key R&D Program of China (2018YFA0703800), the National Natural Science Foundation of China (62173030) and the Beijing Natural Science Foundation (4222050). |
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| On the optimality of uniform velocity–deceleration separation scheme for tethered satellite systems |
| Peng Yu1,2,Ji-Feng Zhang3,Shuping Tan4,Jin Guo1,2,Yanlong Zhao3 |
| (1 School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, China
2 Key Laboratory of Knowledge Automation for Industrial Processes, Ministry of Education, Beijing 100083, China;3 Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China;4 Beijing Institute of Control Engineering, Beijing 100094, China) |
| Abstract: |
| velocity–deceleration separation scheme achieve the best effect. First, a judgment condition is established to determine
the tether state by comparing the tether length and the relative distance of the sub-satellite and the parent satellite. Based
on the tethered satellite system dynamics equation and Clohessy–Wiltshire equation, dynamic models are given for four
cases of tether states. Second, the influence of the uniform velocity–deceleration separation scheme on the libration angle
is analyzed by taking the libration angle at the separation ending time and the mean absolute value of the libration angle as
index functions. Then, the optimality problem of the uniform velocity–deceleration separation scheme is formulated as an
optimization problem with constraints, and an approximate solution algorithm is given by combining the back propagation
neural network and Newton–Raphson method of multiple initial values. Finally, the effectiveness of the proposed method is
verified by a numerical simulation. |
| Key words: Tethered satellite systems · Libration angle · Uniform velocity–deceleration separation · Neural network |
