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Feedback equivalence and motion planning of a space manipulator

  • Krzysztof TchońEmail author
  • Joanna Ratajczak
Conference paper
Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 73)

Abstract

We study the dynamics of a free-floating space manipulator comprising a floating base equipped with a planar on-board manipulator with revolute joints. Lagrangian equations of motion are provided and affine Pfaffian constraints derived based on the conservation of the angular momentum of the base. A control system model of the dynamics is used as a framework for the formulation of a motion planning problem. To enable computations this model is then simplified by a feedback transformation. In the feedback equivalent representation of the dynamics the motion planning is performed by means of a Lagrangian Jacobian algorithm. Results of computations illustrate advantages of the employed motion planning algorithm.

Keywords

Space manipulator affine Pfaffian constraints affine control system feedback equivalence jacobian motion planning 

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Notes

Acknowledgments

This research was supported by the Wrocław University of Science and Technology under research project no 0401/0019/18.

References

  1. 1.
    Rybus, T., Seweryn, K.: Planar air-bearing microgravity simulators: review of applications, existing solutions and design parameters. Acta Astronaut. 120, 239–259 (2016).CrossRefGoogle Scholar
  2. 2.
    Tchoń, K., Ratajczak, J.: General Lagrange-type Jacobian inverse for nonholonomic robotic systems. IEEE Trans. Robotics 34, 256–263 (2018).Google Scholar
  3. 3.
    Yoshida, K., Wilcox, B.: Space robots and systems. In: Siciliano, B., Khatib, O. (eds.), Springer Handbook of Robotics, pp. 1031– 1063, Springer (2008).Google Scholar
  4. 4.
    Tchoń, K., Respondek, W., Ratajczak, J.: Normal forms and configuration singularities of a space manipulator. J. Intell. Robotic Syst. (2018).  https://doi.org/10.1007/s10846-018-0883-8CrossRefGoogle Scholar
  5. 5.
    Tchoń 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 (2019).Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Wrocław University of Science and TechnologyWrocławPoland

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