Abstract

Drag-free control technology plays a key role in space science tasks such as microgravity science, space basic physics verification, Earth observation, and spacecraft high-precision navigation. At present, a drag-free controller is designed in the time domain aimed at the full frequency band by many scholars, which cannot meet some of the high-precision task requirements under specific frequency constraints. Therefore, some scholars use robust control and quantitative feedback control to design a controller in the frequency domain indirectly, but the design process is complicated. Moreover, the satellite tracking test mass strategy is generally used, and it limits the control capability of a drag-free satellite with double test masses. For these problems, a design method of a finite frequency domain controller based on Generalized Kalman-Yakubovich-Popov (GKYP) lemma combined with frequency separation control strategy is presented in this paper, which covers the dynamic model, design of the finite frequency H controller, proof of stability, and performance analysis. Finally, the numerical simulation analysis is carried out. The simulation results show that the controllers are effective.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

This work was supported partially by the Guangdong Major Project of Basic and Applied Basic Research (Grant No. 2019B030302001). The authors would like to thank the reviewers and editors for their comments and constructive suggestions, which are great help to the improvement of the paper.

References

Apkarian, P., H. D. Tuan, and J. Bernussou. 2001. “Continuous-time analysis, eigenstructure assignment, and H/sub 2/synthesis with enhanced linear matrix inequalities (LMI) characterizations.” IEEE Trans. Autom. Control 46 (12): 1941–1946. https://doi.org/10.1109/9.975496.
Armano, M., H. Audley, G. Auger, J. Baird, P. Binetruy, M. Born, and P. Zweifel. 2015. “The LISA pathfinder mission.” J. Phys.: Conf. Ser. 610: 012005. https://doi.org/10.1088/1742-6596/610/1/012005.
Audley, H., S. Babak, J. Baker, E. Barausse, and C. F. Sopuerta. 2017. “Laser interferometer space antenna.” Preprint, submitted February 10, 2017. http://arxiv.org/abs/1702.00786.
Buchman, S., C. Everitt, B. Parkinson, J. Turneaure, D. DeBra, D. Bardas, and P. Zhou. 2000. “The gravity probe B relativity mission.” Adv. Space Res. 25 (6): 1177–1180. https://doi.org/10.1016/S0273-1177(99)00982-5.
Canuto, E., and L. Massotti. 2009. “All-propulsion design of the drag-free and attitude control of the European satellite GOCE.” Acta Astronaut. 64 (2–3): 325–344. https://doi.org/10.1016/j.actaastro.2008.07.017.
Chapmana, P., Z. Peter, and J. Yusuf. 2002. “Drag-free control analysis and algorithm design for the STEP mission.” In Proc., 5th Cranfield DCSSS Conf. Cambridge, UK: King’s College Cambridge. https://www.researchgate.net/publication/238089722.
Floberghagen, R., M. Fehringer, D. Lamarre, D. Muzi, B. Frommknecht, C. Steiger, and A. Da Costa. 2011. “Mission design, operation and exploitation of the gravity field and steady-state ocean circulation explorer mission.” J. Geod. 85 (11): 749–758. https://doi.org/10.1007/s00190-011-0498-3.
Gao, Y., and W. Liu. 2020. “Studies of drag-free control methods for space-based gravitational-wave detection.” Sci. Sin. Phys. Mech. Astron. 50 (7): 079503. https://doi.org/10.1360/SSPMA-2019-0386.
Gath, P., W. Fichter, M. Kersten, and A. Schleicher. 2004. “Drag free and attitude control system design for the LISA pathfinder mission.” In Proc., AIAA Guidance, Navigation, and Control Conf. and Exhibit, 5430. Reston, VA: AIAA. https://doi.org/10.2514/6.2004-5430.
Gong, Y., J. Luo, and B. Wang. 2021. “Concepts and status of Chinese space gravitational wave detection projects.” Nat. Astron. 5 (9): 881–889. https://doi.org/10.1038/s41550-021-01480-3.
Guilherme, M. S., W. Filho, and S. Theil. 2008. “Strategies for in-orbit calibration of drag-free control systems.” Aerosp. Sci. Technol. 12 (5): 365–375. https://doi.org/10.1016/j.ast.2007.09.002.
Haines, R. 2000. “Developing a drag-free control system.” In Proc., 14th Annual AIAA/USU Conf. on Small Satellites. Reston, VA: AIAA.
Haynsworth, E. V. 1970. “Applications of an inequality for the Schur complement.” Proc. Am. Math. Soc. 24 (3): 512–516. https://doi.org/10.1090/S0002-9939-1970-0255580-7.
Iwasaki, T., and S. Hara. 2005. “Generalized KYP lemma: Unified frequency domain inequalities with design applications.” IEEE Trans. Autom. Control 50 (1): 41–59. https://doi.org/10.1109/TAC.2004.840475.
Jia, T., D. Jiang, C. Li, B. Ru, X. Lian, and X. Zhu. 2022. “Influence of three-body gravitational perturbation for drag-free spacecraft.” Int. J. Aerosp. Eng. 2022 (14): 1–15. https://doi.org/10.1155/2022/9787677.
Leach, R. 2003. “Development of hardware for a drag-free control system.” In Vol. 4856 of Proc., SPIE, 19–30. Bellingham, WA: Society of Photo-Optical Instrumentation Engineers. https://doi.org/10.1117/12.458567.
Lian, X., J. Zhang, L. Chang, J. Song, and J. Sun. 2022. “Test mass capture for drag-free satellite based on RBF neural network adaptive sliding mode control.” Adv. Space Res. 69 (2): 1205–1219. https://doi.org/10.1016/j.asr.2021.10.009.
Lian, X., J. Zhang, L. Lu, J. Wang, L. Liu, J. Sun, and Y. Sun. 2021a. “Frequency separation control for drag-free satellite with frequency-domain constraints.” IEEE Trans. Aerosp. Electron. Syst. 57 (6): 4085–4096. https://doi.org/10.1109/TAES.2021.3088456.
Lian, X., J. Zhang, J. Wang, P. Wang, and Z. Lu. 2021b. “State and disturbance estimation for test masses of drag-free satellites based on self-recurrent wavelet neural network.” Adv. Space Res. 67 (11): 3654–3666. https://doi.org/10.1016/j.asr.2020.09.014.
Lian, X., J. Zhang, J. Yang, Z. Lu, Y. Zhang, and Y. Song. 2021c. “The determination for ideal release point of test masses in drag-free satellites for the detection of gravitational waves.” Adv. Space Res. 67 (2): 824–833. https://doi.org/10.1016/j.asr.2020.09.030.
Luo, J., et al. 2016. “TianQin: A space-borne gravitational wave detector.” Classical Quantum Gravity 33 (3): 035010. https://doi.org/10.1088/0264-9381/33/3/035010.
Lupi, F. 2019. Precise control of LISA with quantitative feedback theory. Delft, Netherlands: Delft Univ. of Technology.
Moe, K., D. B. Debra, R. A. Van Patten, M. M. Moe, G. Oelker, and M. B. Ruggera. 1976. “Exospheric density measurements from the drag-free satellite Triad.” J. Geophys. Res. 81 (22): 3753–3761. https://doi.org/10.1029/JA081i022p03753.
Pettazzi, L., A. Lanzon, S. Theil, and A. E. Finzi. 2009. “Design of robust drag-free controllers with given structure.” J. Guid. Control Dyn. 32 (5): 1609–1621. https://doi.org/10.2514/1.40279.
Pugh, G. E. 1959. “Proposal for a spacecraft test of the Coriolis prediction of general relativity.” In Proc., Weapons Systems Evaluation Group Research Memorandum, NASA, USA. Houston, TX: NASA. https://doi.org/10.1142/9789812564818_0034.
Robert, A., et al. 2022. “MICROSCOPE satellite and its drag-free and attitude control system.” Classical Quantum Gravity 39 (20): 204003. https://doi.org/10.1088/1361-6382/ac09cd.
Sun, W., J. Li, Y. Zhao, and H. Gao. 2011. “Vibration control for active seat suspension systems via dynamic output feedback with limited frequency characteristic.” Mechatronics 21 (1): 250–260. https://doi.org/10.1016/j.mechatronics.2010.11.001.
Wang, E., J. Zhang, H. Li, and M. Liu. 2021. “Relative position model predictive control of double cube test-masses drag-free satellite with extended sliding mode observer.” Math. Probl. Eng. 2021 (1): 1–15. https://doi.org/10.1155/2021/8887479.
Wu, S. F., and D. Fertin. 2008. “Spacecraft drag-free attitude control system design with quantitative feedback theory.” Acta Astronaut. 62 (12): 668–682. https://doi.org/10.1016/j.actaastro.2008.01.038.
Yang, F., and J. D. Diao. 2019. “Active disturbance rejection control for drag-free satellites with saturation-constrained observations.” In Proc., 2019 Chinese Control Conf. (CCC), 4296–4301. Beijing: Technical Committee on Control Theory, Chinese Association of Automation. https://doi.org/10.23919/ChiCC.2019.8865733.
Zhang, C., J. He, L. Duan, and Q. Kang. 2019. “Design of an active disturbance rejection control for drag-free satellite.” Microgravity Sci. Technol. 31 (1): 31–48. https://doi.org/10.1007/s12217-018-9662-1.
Zhang, X., C. Luo, L. Jiao, B. Ye, H. Yuan, L. Cai, D. Gu, J. Mei, and J. Luo. 2021. “Effect of Earth-Moon’s gravity on TianQin’s range acceleration noise.” Phys. Rev. D 103 (6): 062001. https://doi.org/10.1103/PhysRevD.103.062001.
Ziemer, J., and S. Merkowitz. 2004. “Microthrust propulsion for the LISA mission.” In Proc., 40th AIAA/ASME/SAE/ASEE Joint Propulsion Conf. and Exhibit, 3439. Reston, VA: AIAA.

Information & Authors

Information

Published In

Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 36Issue 4July 2023

History

Received: Mar 1, 2022
Accepted: Mar 15, 2023
Published online: May 12, 2023
Published in print: Jul 1, 2023
Discussion open until: Oct 12, 2023

Permissions

Request permissions for this article.

Authors

Affiliations

Jinxiu Zhang [email protected]
Professor, School of Aeronautics and Astronautics, Sun Yat-sen Univ., Guangzhou 510006, PR China. Email: [email protected]
Ph.D. Candidate, Institute of Space Science and Applied Technology, Harbin Institute of Technology (Shenzhen), Shenzhen 518071, PR China (corresponding author). Email: [email protected]
Engineer, Shanghai Institute of Satellite Engineering, 251 Huaning Rd., Minhang, Shanghai 201108, PR China. ORCID: https://orcid.org/0000-0001-5223-7040. Email: [email protected]
Lantian Chang [email protected]
Engineer, Dongfanghong Satellite Co., Ltd., 104 Youyi Rd., Haidian, Beijing 100094, PR China. Email: [email protected]
Ph.D. Candidate, School of Aeronautics and Astronautics, Sun Yat-sen Univ., Guangzhou 510006, PR China. ORCID: https://orcid.org/0000-0001-8308-0816. Email: [email protected]
Postdoctoral, Institute of Space Science and Applied Technology, Harbin Institute of Technology (Shenzhen), Shenzhen 518071, PR China. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share