DYNAMIC MODELING OF A MOMENT EXCHANGE UNICYCLE ROBOT

S. Langius, R. A. de Callafon

Abstract

In this paper a three dimensional non-linear model has been derived to describe the dynamics of an unstable moment exchange unicycle robot. The robot uses a driving wheel to provide stabilization in longitudinal direction, while a second moment exchange wheel with a large inertia is used for stabilization in lateral direction. For validation purposes, the resulting equations of motion are compared independently against the simulation results of a finite element package called SPACAR. The model includes the coupling between the lateral and longitudinal motion, which makes it possible to control the yaw angle and the model can be used to design a stabilizing feedback controller.

References

  1. -0.6 -0.4 -0.2 Aarts, R., Meijaard, J., and Jonker, J. (2008). SPACAR User Manual.
  2. Au, K. and Xu, Y. (1999). Decoupled dynamics and stabilization of single wheel robot. In IEEE/RSJ Int. Conf. on Intelligent Robots and Systems, volume 1, pages 197-203.
  3. Cooper, J. (2004). An Introduction to Ordinary Differential Equations. Cambridge University Press.
  4. Dao, M. and Liu, K. (2005). Gain-scheduled stabilization control of a unicycle robot. JSME International Journal Series C: Mechanical Systems, Machine Elements and manufacturing, 48(4):649-656.
  5. Hughes, P. (1986). Spacecraft Attitude Dynamics. J. Wiley.
  6. Kolve, D. (1993). Describing an attitude. In Proc. Annual Rocky Mountain Guidance and Control Conference, volume 93, pages 289-303.
  7. Majima, S., Kasai, T., and Kadohara, T. (2006). A design of a control method for changing yaw direction of an underacuatted unicycle robot. In Proc. TENCON 2006, IEEE Region 10 Conference, pages 1-4.
  8. Nakajima, R., Tsubouchi, T., Yuta, S., and Koyanagi, E. (1997). A development of a new mechanism of an autonomous unicycle. In IEEE/RSJ Int. Conf. on Intelligent Robots and Systems, volume 2, pages 906-912.
  9. Naveh, Y., Bar-Yoseph, P., and Halevi, Y. (1999). Nonlinear modeling and control of a unicycle. Dynamics and Control, 9:279-296.
  10. Ohsaki, H., Kinoshita, M., Sugimoto, Y., Yoshida, K., Iwase, M., and Hatakeyama, S. (2008). Development of a control system for supporting to grow human skill of a unicycle. In SICE Annual Conference, pages 2229-2233.
  11. Schoonwinkel, A. (1987). Design and Test of a Computer Stabilized Unicycle. PhD thesis, Stanford Univ., CA.
  12. Sheng, Z. and Yamafuji, K. (1997). Postural stability of a human riding a unicycle and its emulationby a robot. IEEE Transactions on Robotics and Automation, 13:709-720.
  13. van Pommeren, J. (2007). The unibot, design and control of a self-balancing unicycle robot. Master's thesis, University of Twente.
  14. Vos, D. and Flotow, A. V. (1990). Dynamics and nonlinear adaptive control of an autonomous unicycle: Theory and experiment. Proc. of the 29th IEEE Conf. on Decision and Control, 1:182-187.
  15. Zenkov, D., Bloch, A., and Marsden, J. (1999). Stabilization of the unicycle with rider. In Proc. 38th IEEE Conf. on Decision and Control, volume 4, pages 3470-3471.
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Paper Citation


in Harvard Style

Langius S. and A. de Callafon R. (2010). DYNAMIC MODELING OF A MOMENT EXCHANGE UNICYCLE ROBOT . In Proceedings of the 7th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO, ISBN 978-989-8425-01-0, pages 216-221. DOI: 10.5220/0002938402160221


in Bibtex Style

@conference{icinco10,
author={S. Langius and R. A. de Callafon},
title={DYNAMIC MODELING OF A MOMENT EXCHANGE UNICYCLE ROBOT},
booktitle={Proceedings of the 7th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO,},
year={2010},
pages={216-221},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002938402160221},
isbn={978-989-8425-01-0},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 7th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO,
TI - DYNAMIC MODELING OF A MOMENT EXCHANGE UNICYCLE ROBOT
SN - 978-989-8425-01-0
AU - Langius S.
AU - A. de Callafon R.
PY - 2010
SP - 216
EP - 221
DO - 10.5220/0002938402160221