KINEMATIC AND SINGULARITY ANALYSIS OF THE HYDRAULIC SHOULDER - A 3-DOF Redundant Parallel Manipulator

H. Sadjadian, H. D. Taghirad

2005

Abstract

In this paper, kinematic modeling and singularity analysis of a three DOF redundant parallel manipulator has been elaborated in detail. It is known, that on the contrary to series manipulators, the forward kinematic map of parallel manipulators involves highly coupled nonlinear equations, whose closed-form solution derivation is a real challenge. This issue is of great importance noting that the forward kinematics solution is a key element in closed loop position control of parallel manipulators. Using the novel idea of kinematic chains recently developed for parallel manipulators, both inverse and forward kinematics of our parallel manipulator are fully developed, and a closed-form solution for the forward kinematic map of the parallel manipulator is derived. The closed form solution is also obtained in detail for the Jacobian of the mechanism and singularity analysis of the manipulator is performed based on the computed Jacobian.

References

  1. J.P. Merlet, Still a long way to go on the road for parallel mechanisms, ASME 2002 DETC Conference, Montreal, Canada, 2002
  2. J.P. Merlet, Parallel Robots: Open problems, In 9th Int'l. Symp. of Robotics Research, Snowbird, 9-12 October 1999.
  3. S. Joshi and L.W. Tsai, The kinematics of a class of 3- DOF , 4-Legged parallel manipulators, Trans. Of the ASME, vol. 125, March 2003, 52-60.
  4. S. Joshi and L.W. Tsai, A comparison study of two 3-DOF parallel manipulators: One with three and the other with four supporting legs, IEEE Trans. On Robotics & Automation, vol. 19, No. 2, April 2003, 200-209.
  5. L.Baron and J. Angeles, The kinematic decoupling of parallel manipulators using joint-sensor data, IEEE Trans. On Robotics & Automation, vol. 16, No. 6, Dec 2000, 644-651.
  6. J.P.Merlet, Closed-form resolution of the direct kinematics of parallel manipulators using extra sensors data, IEEE Intl. Conf. On Robotics & Automation, 1993, 200- 204.
  7. J.P.Merlet, Direct kinematics of planar parallel manipulators, Intl. Conf. On Robotics & Automation, Minnesota, April 1996, 3744-3749.
  8. S.K.Song and D.S.Kwon, Efficient formulation approach for the forward kinematics of the 3-6 Stewart-Gough platform, Intl. Conf. on Intelligent Robots and Systems, Hawaii, USA, Oct. 2001, 1688-1693.
  9. Bonev, I. A., Ryu, J., Kim, S.-G., and Lee, S.-K., A closed-form solution to the direct kinematics of nearly general parallel manipulators with optimally located three linear extra sensors, IEEE Trans. On Robotics & Automation, vol. 17, No. 2, April 2001, 148-156.
  10. B. Siciliano, The tricept robot: inverse kinematics, manipulability analysis and closed-loop direct kinematics algorithm, Robotica, vol. 17, pp.437-445, June 1999.
  11. A. Fattah and G. Kasaei, Kinematics and dynamics of a parallel manipulator with a new architecture, Robotica, vol. 18, pp. 535-543, Sept. 2000.
  12. O.Didrit, M.Petitot and E.Walter, Guaranteed solution of direct kinematic problems for general configurations of parallel manipulators, IEEE Trans. On Robotics & Automation, April 1998, 259-266.
  13. B. Dasgupta, T.S. Mruthyunjaya, The Stewart platform manipulator: a review, Elsevier Science, Mechanism & Machine theory,2000,15-40.
  14. Hayward, V. and Kurtz, R.: Modeling of a parallel wrist mechanism with actuator redundancy, Int'l. J. Laboratory Robotics and Automation, VCH Publishers, Vol. 4, No. 2.1992, 69-76.
  15. Hayward, V.: “Design of a hydraulic robot shoulder based on a combinatorial mechanism” Experimental Robotics III: The 3rd Int'l Symposium, Japan Oct. 1994. Lecture Notes in Control & Information Sciences, Springer-Verlag, 297-310.
  16. Hayward, V.: “Borrowing some design ideas from biological manipulators to design an artificial one” in Robots and Biological System, NATO Series, Springer-Verlag, 1993, 135-148.
  17. H. Sadjadian and H.D. Taghirad, Numerical Methods for Computing the Forward Kinematics of a Redundant Parallel Manipulator, IEEE Conf. on Mechatronics and Robotics, pp 557-562, Sept. 2004, Aachen, Germany.
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Paper Citation


in Harvard Style

Sadjadian H. and D. Taghirad H. (2005). KINEMATIC AND SINGULARITY ANALYSIS OF THE HYDRAULIC SHOULDER - A 3-DOF Redundant Parallel Manipulator . In Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 4: ICINCO, ISBN 972-8865-30-9, pages 125-131. DOI: 10.5220/0001185301250131


in Bibtex Style

@conference{icinco05,
author={H. Sadjadian and H. D. Taghirad},
title={KINEMATIC AND SINGULARITY ANALYSIS OF THE HYDRAULIC SHOULDER - A 3-DOF Redundant Parallel Manipulator},
booktitle={Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 4: ICINCO,},
year={2005},
pages={125-131},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001185301250131},
isbn={972-8865-30-9},
}


in EndNote Style

TY - CONF
JO - Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 4: ICINCO,
TI - KINEMATIC AND SINGULARITY ANALYSIS OF THE HYDRAULIC SHOULDER - A 3-DOF Redundant Parallel Manipulator
SN - 972-8865-30-9
AU - Sadjadian H.
AU - D. Taghirad H.
PY - 2005
SP - 125
EP - 131
DO - 10.5220/0001185301250131