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Autonomous Low-Thrust Control of Long-Distance Satellite Clusters Using Artificial Potential Function

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A Correction to this article was published on 20 April 2021

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Abstract

Thispaper investigates the micro-satellite cluster long-distance gathering control problem including initialization, orbit maintenance and collision avoidance operations. This problem is formulated using absolute orbital elements and newly developed quadratic artificial potential function based on these elements. Incorporating with the artificial potential function, a distributed autonomous low-thrust control method is proposed to solve the cluster gathering problem. Comparing with the fuel-optimal control problem formulated by equations established in Cartesian coordinates, the proposed method demonstrates geometrical intuition and possesses a low-cost computation burden. These advantages make the proposed method more suitable for controlling micro-satellite clusters. The stability of the autonomous low-thrust control method is proved using the Lyapunov method. Additionally, a Monte Carlo analysis is applied to demonstrate both the effectiveness and the collision avoidance ability of the presented algorithm.

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References

  1. Scharf, D.P., Hadaegh, F.Y., Ploen, S.R.: A survey of spacecraft formation flying guidance and control (Part I): guidance, Denver, CO. In: Proceedings of the 2003 American Control Conference, pp 1733–1739 (2003)

  2. Renevey, S., David, A.: Spencer: establishment and control of spacecraft formations using artificial potential functions. Acta Astronautica 162, 314–326 (2019)

    Article  Google Scholar 

  3. Scharf, D.P., Hadaegh, F.Y., Ploen, S.R.: A survey of spacecraft formation flying guidance and control (Part II): control. In: Proceedings of the 2004 American Control Conference, Boston, MA, pp 2976–2985 (2004)

  4. Zhou, D., et al.: Distributionally robust planning for data delivery in distributed satellite cluster network. IEEE Trans. Wireless Commun. 18(7), 3642–3657 (2019)

    Article  Google Scholar 

  5. Wang, Z., Xu, Y., Jiang, C., Zhang, Y.: Self-organizing control for satellite clusters using artificial potential function in terms of relative orbital elements. Aerospace Sci. Technol. 84, 799–811 (2019)

    Article  Google Scholar 

  6. Hesse, M., et al.: Theory and modeling for the magnetospheric multiscale mission. Space Sci. Rev. 199(1-4), 577–630 (2016)

    Article  Google Scholar 

  7. Morris, M., Chew, C., Reager, J.T., Shah, R., Zuffada, C.: A novel approach to monitoring wetland dynamics using CYGNSS: everglades case study. Remote Sensing of Environment 233 (2019)

  8. Harris, M.: Tech giants race to build orbital internet. IEEE Spectrum 55(6), 10–11 (2018)

    Article  Google Scholar 

  9. del Portilloa, I., et al.: A technical comparison of three low earth orbit satellite constellation systems to provide global broadband. Acta Astronautica 159, 123–135 (2019)

    Article  Google Scholar 

  10. Clohessy, W.H., Wiltshire, R.S.: Terminal guidance system for satellite rendezvous. Aerosp. Sci. 27(9), 653–658 (1960)

    Article  Google Scholar 

  11. Lovell, T.A., Tragesser, S.G.: Guidance for relative motion of low earth orbit spacecraft based on relative orbit elements. In: AIAA/AAS Astrodynamics Specialist Conference and Exhibit, Providence, RI, pp 1–15 (2004)

  12. Lin, L., Jingshi, T.: Satellite Orbit Theory and Application[M], pp 78–79. Publishing House of Electronics Industry Beijing, Beijing (2015)

    Google Scholar 

  13. Fakoor, M., Sadeghi, S., Bakhtiari, M.: Investigation of low thrust optimal orbital transfer from LEO to GEO considering circular orbits. The Journal of the Astronautical Sciences 67(1), 77–97 (2020)

    Article  Google Scholar 

  14. Leomanni, M., Garulli, A., Giannitrapani, A., et al.: An adaptive groundtrack maintenance scheme for spacecraft with electric propulsion. Acta Astronautica 167, 460–466 (2020)

    Article  Google Scholar 

  15. Shengqing, Y., Yu, W., Danna, W., Rong-Feng, L., Yao-ke, D., Chao, Z.: Study on maneuver methods of satellites constellation with continual small-thrust propulsion. Chinese Space Science and Technology 40(04), 69–77 (2020)

    Google Scholar 

  16. Khatib, O.: Real-time obstacle avoidance for manipulators and mobile robots. The Int. J. Robotics Res. 5(1), 90–98 (1986)

    Article  Google Scholar 

  17. McInnes, C.R.: Autonomous proximity manoeuvring using artificial potential functions. ESA J. 17(2), 159–169 (1993)

    Google Scholar 

  18. Izzo, D., Pettazzi, L.: Autonomous and distributed motion planning for satellite swarm. Guid. Control Dyn. 30(2), 449–459 (2007)

    Article  Google Scholar 

  19. Bevilacqua, R., Lehmann, T., Romano, M.: Development and experimentation of LQR/APF guidance and control for autonomous proximity maneuvers of multiple spacecraft. Acta Astronaut. 68(7–8), 1260–1275 (2011)

    Article  Google Scholar 

  20. Dono, A., Plice, L., Mueting, J., Conn, T., Ho, M.: Propulsion Trade Studies for Spacecraft Swarm Mission Design. NASA, Washington, DC, USA, IEEE Aerospace Conference, Online (2018)

  21. Feng, W.: Local information based organization of distributed spacecraft swarm using artificial potential field. In: Proceedings of 2019 International Conference on Aeronautical Materials and Aerospace Engineering (AMAE 2019), pp 352–357 (2019)

  22. Kang, J., Zhu, Z.H.: A unified energy-based control framework for tethered spacecraft deployment. Springer Netherlands 95(2), 1117–1131 (2019)

    Google Scholar 

  23. Spencer, D.A., Lovell, T.A.: Maneuver design using relative orbital elements. Astronaut. Sci. 62(4), 315–350 (2015)

    Article  Google Scholar 

  24. Spencer, D.A.: Automated trajectory control using artificial potential functions to target relative orbits. Guid. Control Dyn. 39(9), 2142–2148 (2016)

    Article  Google Scholar 

  25. Xu, Y., Wang, Z., Zhang, Y.: Bounded flight and collision avoidance control for satellite clusters using intersatellite flight bounds. Aerospace Sci. Technol. 94, 1–10 (2019)

    Google Scholar 

  26. Wang, Y., Chen, X., Ran, D., Zhao, Y., Chen, Y., Bai, Y.: Spacecraft formation reconfiguration with multi-obstacle avoidance under navigation and control uncertainties using adaptive artificial potential function method. Astrodynamics 4(11), 41–56 (2020)

    Article  Google Scholar 

  27. Morgan, D., Chung, S.-J.: Model predictive control of swarms of spacecraft using sequential convex programming. Journal of Guidance, Control, and Dynamics 37(6), 1725–1740 (2014)

    Article  Google Scholar 

  28. Sarno, S., Guo, J., D’Errico, M., Gill, E.: A guidance approach to satellite formation reconfiguration based on convex optimization and genetic algorithms. Advances in Space Research 65(8), 2003–2017 (2020)

    Article  Google Scholar 

  29. Shang, H., Wang, S., Wu, W.: Design and optimization of low-thrust orbital phasing maneuver. Aerospace Sci. Technol. 42, 365–375 (2015)

    Article  Google Scholar 

  30. Xiaohui, L., Yonghui, M., Beihua, W., Yu, J.: Summary of path planning algorithms. Value Eng. 39(03), 295–299 (2020)

    Google Scholar 

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Authors and Affiliations

  1. Research Center of the Satellite Technology, Harbin Institute of Technology, Harbin, 150001, China

    Yanjun Yu, Huayi Li & Feng Wang

  2. Institude of Space Science and Applied Technology, Harbin Institute of Technology, ShenZhen, 518055, China

    Chengfei Yue

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  1. Yanjun Yu
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  2. Chengfei Yue
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  3. Huayi Li
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  4. Feng Wang
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Correspondence to Feng Wang.

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This work was supported by the National Natural Science Foundation of China (61833009, 11972130, 61690212) and the Youth Foundation for Defence Science and Technology Excellence (2017-JCJQ-ZQ-034).

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Yu, Y., Yue, C., Li, H. et al. Autonomous Low-Thrust Control of Long-Distance Satellite Clusters Using Artificial Potential Function. J Astronaut Sci 68, 71–95 (2021). https://doi.org/10.1007/s40295-021-00247-2

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