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Nonlinear Active Disturbance Rejection Controller Design for Drag-Free Satellite with Two Test Massess

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Abstract

Space gravitational wave detection missions require low bandwidth, high accuracy and strong robustness for the drag-free satellite systems, which require laser interference experiments with dual test masses (TMs) inside the satellite. For drag-free control and electrostatic levitation control with dual TMs satellites, linear controllers are difficult to solve the comprehensive problems of high accuracy and stability. In this paper, fractional order active disturbance rejection control (FOADRC) is used as the drag-free controller and electrostatic levitation controller, in which the non-linear controller controls the drag-free system and the active disturbance rejection compensates the system with feedback, achieving the objectives of frequency division control and interference suppression for the drag-free control and electrostatic levitation control. The simulation results show that the relative displacement of the satellite and the test mass (TM) is less than \(1 \times 10^{ - 9}\,{\mathrm{m\,Hz}}^{ - 1/2}\) and the residual acceleration is less than \(1 \times 10^{ - 15}\,{\mathrm{m\,s}}^{ - 2}\,{\mathrm{Hz}}^{ - 1/2}\) in the sensitive band of 0.1 mHz–1 Hz gravitational wave detection. The designed controller scheme ensures the system robustness and control accuracy under the ultra-low bandwidth constraint and improves the system-response performance.

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Data availability

The data that support the findings of this study are available from the corresponding author upon reasonable request.

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Acknowledgements

This work was supported by the National Natural Science Foundation (NNSF) of China under Grant (Grant No. 12162007), National Key R&D Program of China Key Project of Gravitational Wave Detection in 2020 (Grant No. 2020YFC2201000), and the Research on New Power System and Its Digital Engineering [grant number QianJiaoJi, China (2022) 043].

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Authors and Affiliations

  1. The Electrical Engineering College, Guizhou University, Guiyang, 550025, China

    Yanbo Shao, Aiping Pang, Junjie Zhou & Yingcui Gou

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  1. Yanbo Shao
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  2. Aiping Pang
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Contributions

Conceptualization, Y.S., J.Z., Y.G. and A.P.; data curation, Y.S. and J.Z.; funding acquisition, A.P.; investigation, J.Z. and Y.S.; methodology, Y.S., A.P., Y.G. and J.Z.; resources, A.P.; validation, Y.S., J.Z.; visualization, J.Z.; writing—original draft, Y.S., J.Z.; writing—review and editing, A.P. All authors have read and agreed to the published version of the manuscript.

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Correspondence to Aiping Pang.

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Communicated by Donghun Lee.

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Shao, Y., Pang, A., Zhou, J. et al. Nonlinear Active Disturbance Rejection Controller Design for Drag-Free Satellite with Two Test Massess. Int. J. Aeronaut. Space Sci. (2024). https://doi.org/10.1007/s42405-024-00739-z

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  • DOI: https://doi.org/10.1007/s42405-024-00739-z

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