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Switching LPV control for electromagnetic formation flying on highly elliptical orbit

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A Correction to this article was published on 11 February 2022

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Abstract

The electromagnetic force generated by the interaction of electromagnetic coils can be used to replace the conventional propellant consumption mode in close relative motion control, thereby promoting the application of formation flight technology for long-term and continuous space missions. Herein, a hysteresis-switching logic-based switching linear parameter varying (LPV) controller synthesis technique with guaranteed performance for electromagnetic formation flying on a highly elliptical orbit is proposed. First, considering that the relative dynamics model of an elliptical orbit is characterized by time-varying uncertainty, the LPV model is described. By introducing switching LPV controllers among different scheduled parameter subsets, conservativeness can be reduced. Second, the system modeling error, the uncertainty caused by a simplified electromagnetic coil model, and external disturbance are considered to derive switching LPV controller synthesis conditions based on the guaranteed H∞ performance. Derivation analysis shows that the proposed switching LPV controller not only ensures the robustness of the system against uncertainties, but also realizes the control input constraints. Finally, numerical simulations and comparative analyses are performed to demonstrate the effectiveness and advantages of the proposed control method.

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Acknowledgements

This study was supported by the National Natural Science Foundation of China (No. 11572019) and the Natural Science General Fund of Shanghai (No. 19ZR1453300).

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Authors and Affiliations

  1. School of Astronautics, Beihang University, Beijing, 100191, China

    Bingyao Lei, Peng Shi & Yushan Zhao

  2. Shanghai Institute of Satellite Engineering, Shanghai, 201109, China

    Yufei Xu

Authors
  1. Bingyao Lei
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  2. Peng Shi
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  3. Yufei Xu
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  4. Yushan Zhao
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Corresponding author

Correspondence to Peng Shi.

Additional information

Bingyao Lei is currently a Ph.D. student in the School of Astronautics, Beihang University, China. She received her B.S. degree in flight vehicle design and engineering from Beihang University. Her current research interests include satellite electromagnetic formation and control, and LPV control technique. E-mail: by_lei@buaa.edu.cn.

Peng Shi received his Ph.D. degree in flight vehicle design from Beihang University, China, in 2009. He is an associate professor at the School of Astronautics, Beihang University. In 2011, his research was granted by the National Natural Science Foundation of China. He is currently in charge of seven research projects, granted by the National Natural Science Foundation of China, Aerospace Innovation Fund, and Beihang Vision Fund. He has been awarded the Youth Talent in Beijing and Promising Youngster of Beihang University in 2010. E-mail: shipeng@buaa.edu.cn.

Yufei Xu received her Ph.D. degree in control theory and control engineering from Nanjing University of Aeronautics and Astronautics, China, in 2011. Now, she is a senior engineer at Shanghai Institute of Satellite Engineering, China. In 2013, her research was granted by the National Natural Science Foundation of China. In 2018, her research was granted by the Natural Science Foundation of Shanghai. She also participated in several space engineering projects as a primary member. E-mail: xyfnuaa@126.com.

Yushan Zhao received his bachelor degree in general mechanics, his master degree in engineering mechanics, and his Ph.D. degree in flight mechanics from Northwest Polytechnic University, China, in 1982, 1985, and 1995, respectively. From 1998 to 1999, he was engaged in advanced studies at Samara University of Aeronautics and Astronautics, Russia. From February 1982 to June 2002, he was with the Northwestern Polytechnical University. Since 2002, he has been with Beihang University. Dr. Zhao was awarded the Excellent Teacher Award of Beihang University. E-mail: yszhao@buaa.edu.cn.

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Lei, B., Shi, P., Xu, Y. et al. Switching LPV control for electromagnetic formation flying on highly elliptical orbit. Astrodyn 5, 373–389 (2021). https://doi.org/10.1007/s42064-021-0117-x

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  • DOI: https://doi.org/10.1007/s42064-021-0117-x

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