Skip to main content
SpringerLink
Log in

Adaptive control for autonomous rendezvous of spacecraft on elliptical orbit

  • Research Paper
  • Published:
Acta Mechanica Sinica Aims and scope Submit manuscript

Abstract

A strategy for spacecraft autonomous rendezvous on an elliptical orbit in situation of no orbit information is developed. Lawden equation is used to describe relative motion of two spacecraft. Then an adaptive gain factor is introduced, and an adaptive control law for autonomous rendezvous on the elliptical orbit is designed using Lyapunov approach. The relative motion is proved to be ultimately bounded under this control law, and the final relative position error can achieve the expected magnitude. Simulation results indicate that the adaptive control law can realize autonomous rendezvous on the elliptical orbit with relative state information only.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Polites, M.E.: An assessment of the technology of automated rendezvous and capture in space. NASA/TP-1998-208528 (1998)

  2. Zimpfer, D., Kachmar, P., Tuohy, S.: Autonomous rendezvous, capture and in-space assembly: past, present and future. AIAA 2005–2523 (2005)

  3. Yamanak, K., Yokota, K., Yamada, K., et al.: Guidance and navigation system design of R-bar approach for rendezvous and docking. AIAA 98–1299 (1998)

  4. Prussing J.E.: Optimal four-impulse fixed-time rendezvous in the vicinity of a circular orbit. AIAA J. 7(5), 928–935 (1969)

    Article  MATH  Google Scholar 

  5. Prussing J.E.: Optimal two and three-impulse fixed-time rendezvous in the vicinity of a circular orbit. AIAA J. 8(7), 1221–1228 (1970)

    Article  MATH  Google Scholar 

  6. Lopez I., McInnes C.R.: Autonomous rendezvous using artificial potential function guidance. J. Guidance Control Dyn. 18(2), 231–241 (1995)

    Article  Google Scholar 

  7. Bennis, R.J., Chu, Q.P., Mulder, J.A.: Adptive fuzzy control for rendezvous and docking by reinforcement learning. AIAA 2001–4354 (2001)

  8. Liu L.H., Tang G.J., Yu M.L.: Orbit design of near-field autonomous rendezvous in circular orbit. J. Astronaut. 28(3), 653–658 (2007) (in Chinese)

    Google Scholar 

  9. Wang F., Cao X.B.: Guidance algorithms for near distance rendezvous of on-orbit-servicing spacecraft under constraints. Syst. Eng. Electron. 28(10), 1578–1582 (2006) (in Chinese)

    Google Scholar 

  10. Li J.F., Meng X., Gao Y.F. et al.: Study on relative orbital configuration in satellite formation flying. Acta Mech. Sin. 21(1), 87–94 (2005). doi:10.1007/s10409-004-0009-3

    Article  MathSciNet  Google Scholar 

  11. Wang Y., Wu H.X.: Space rendezvous and berthing and study of the control method. J. Astronaut. 22(5), 15–19 (2001) (in Chinese)

    Google Scholar 

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

    Google Scholar 

  13. Lin W., Pongvuthithum R.: Adaptive output tracking of inherently nonlinear systems with nonlinear parameterization. IEEE Trans. Autom. Control 48(10), 1737–1749 (2003)

    Article  MathSciNet  Google Scholar 

  14. Khalil H.K.: Nonlinear Systems. Prentice Hall International Inc., New Jersey (1996)

    Google Scholar 

  15. Slotine J-J.E., Li W.P.: Applied Nonlinear Control. Prentice Hall International Inc., New Jersey (1991)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

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

    Shan Lu & Shijie Xu

Authors
  1. Shan Lu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Shijie Xu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Shan Lu.

Additional information

The Project supported by the National Natural Science Foundation of China (10702003).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lu, S., Xu, S. Adaptive control for autonomous rendezvous of spacecraft on elliptical orbit. Acta Mech Sin 25, 539–545 (2009). https://doi.org/10.1007/s10409-009-0235-9

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10409-009-0235-9

Keywords

Search

Navigation