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Finite-Time Contractive Control of Spacecraft Rendezvous System

Author

Listed:
  • Jing Sheng

    (School of Astronautics, Harbin Institute of Technology, Harbin 150001, China)

  • Yunhai Geng

    (School of Astronautics, Harbin Institute of Technology, Harbin 150001, China)

  • Min Li

    (Beijing Institute of Control Engineering, Beijing 100190, China)

  • Baolong Zhu

    (School of Information and Automation, Qilu University of Technology, Jinan 250353, China)

Abstract

In this paper we investigate the problem of a finite-time contractive control method for a spacecraft rendezvous control system. The dynamic model of relative motion is formulated by the C-W equations. To improve the convergent performance of the spacecraft rendezvous control system, a finite-time contractive control law is introduced. Lyapunov’s direct method is employed to obtain the existence condition of the desired controllers. The controller parameter can be obtained with the help of the cone complementary linearization algorithm. A numerical example verifies the effectiveness of the obtained theoretical results.

Suggested Citation

  • Jing Sheng & Yunhai Geng & Min Li & Baolong Zhu, 2023. "Finite-Time Contractive Control of Spacecraft Rendezvous System," Mathematics, MDPI, vol. 11(8), pages 1-14, April.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:8:p:1871-:d:1123768
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    References listed on IDEAS

    as
    1. Dian Sheng & Xuebo Yang & Hamid Reza Karimi, 2014. "Robust Control for Autonomous Spacecraft Evacuation with Model Uncertainty and Upper Bound of Performance with Constraints," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-16, April.
    2. Joby, Maya & Santra, Srimanta & Anthoni, S. Marshal, 2021. "Finite-time contractive boundedness of extracorporeal blood circulation process," Applied Mathematics and Computation, Elsevier, vol. 388(C).
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