Skip to main content

Normal Forms of a Free-Floating Space Robot

  • Conference paper
  • First Online:
Advanced, Contemporary Control

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1196))

Abstract

This paper is devoted to the dynamics of a free-floating space robot consisting of a mobile base (a spacecraft) and an on-board manipulator. Lagrangian equations of motion are derived. Special attention is paid to the equation resulting from the conservation of the angular momentum. This equation is represented in the form of a control system driven by joint velocities of the on-board manipulator. The main result of this paper consists in showing that this control system can be transformed by feedback to the chained form. Explicit form of the feedback transformations has been found for the case when the on-board manipulator is mounted at an arbitrary point of the base, and compared with the previously studied case of mounting point fixed at the center of mass of the base.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Jakubczyk, B.: Equivalence and invariants of nonlinear control systems. In: Sussmann, H.J. (ed.) Nonlinear Controllability and Optimal Control. M. Dekker, New York (1998)

    MATH  Google Scholar 

  2. Krener, A.J.: Feedback Linearization of Nonlinear Systems. In: Baillieul, J., Samad, T. (eds.) Encyclopedia of Systems and Control. Springer, London (2013)

    Google Scholar 

  3. Murray, R.M., Li, Z., Sastry, S.S.: A Mathematical Introduction to Robotic Manipulation. CRC Press, Boca Raton (1994)

    MATH  Google Scholar 

  4. Jiang, Z.P., Nijmeijer, H.: A recursive technique for tracking control of nonholonomic systems in chained form. IEEE Trans. Autom. Control 44, 265–279 (1999)

    Article  MathSciNet  Google Scholar 

  5. Papadopoulos, E., Tortopidis, I., Nanos, K.: Smooth planning for free-floating space robots using polynomials. In: Proceedings of the 2005 IEEE International Conference on Robotics and Automation, Barcelona, Spain , pp. 4283–4288 (2005)

    Google Scholar 

  6. Tortopidis, I., Papadopoulos, E.: On point-to-point motion planning for underactuated space manipulator systems. Rob. Auton. Syst. 55, 122–131 (2007)

    Article  Google Scholar 

  7. Rybus, T., et al.: Application of a planar air-bearing microgravity simulator for demonstration of operations required for an orbital capture with a manipulator. Acta Astronautica 155, 211–229 (2019)

    Article  Google Scholar 

  8. TchoƄ, K., Respondek, W., Ratajczak, J.: Normal forms and configuration singularities of a space manipulator. J. Intell. Rob. Syst. 93, 621–634 (2019)

    Article  Google Scholar 

  9. TchoƄ, K. Ratajczak, J. Jakubiak, J.: Normal forms of robotic systems with affine Pfaffian constraints: a case study. In: Lenarcic, J., Parenti-Castelli, V. (eds) Advances in Robot Kinematics 2018, pp. 250–257. Springer, Heidelberg (2019)

    Google Scholar 

  10. KrzykaƂa, A.: Modeling and Control of Free-Floating Space Robots. Wroclaw University of Science and Technology, Wroclaw (2019). Diploma project, (in Polish)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Krzysztof TchoƄ .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

TchoƄ, K. (2020). Normal Forms of a Free-Floating Space Robot. In: Bartoszewicz, A., KabziƄski, J., Kacprzyk, J. (eds) Advanced, Contemporary Control. Advances in Intelligent Systems and Computing, vol 1196. Springer, Cham. https://doi.org/10.1007/978-3-030-50936-1_51

Download citation

Publish with us

Policies and ethics