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On the optimality of uniform velocity–deceleration separation scheme for tethered satellite systems

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Abstract

For mitigating the libration angle fluctuation of the tethered satellite system, this paper discusses how to make the uniform 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.

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Data Availability

The data that support the findings of this study are available upon request from the corresponding author guojin@ustb.edu.cn.

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Authors and Affiliations

  1. School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, 100083, China

    Peng Yu & Jin Guo

  2. Key Laboratory of Knowledge Automation for Industrial Processes, Ministry of Education, Beijing, 100083, China

    Peng Yu & Jin Guo

  3. Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    Ji-Feng Zhang & Yanlong Zhao

  4. Beijing Institute of Control Engineering, Beijing, 100094, China

    Shuping Tan

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  1. Peng Yu
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Correspondence to Jin Guo.

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The authors declare that there is no competing financial interest or personal relationship that could have appeared to influence the work reported in this paper.

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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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Yu, P., Zhang, JF., Tan, S. et al. On the optimality of uniform velocity–deceleration separation scheme for tethered satellite systems. Control Theory Technol. (2024). https://doi.org/10.1007/s11768-024-00221-x

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