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Self-Calibration of Redundantly Actuated PKM Based on Motion Reversal Points

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Abstract

In this paper a novel self-calibration method for redundantly actuated parallel manipulators (RA-PKM) is proposed. It does not require external measurements or encoders in passive joints but only uses actuator joint measurements. The method uses motion reversal points (MRP) as calibration landmarks. MRP are characterized by vanishing velocity of one actuator while the RA-PKM performs a continuous motion. In other word the MRP are the input-singularities of an associated non-redundantly actuated PKM. The general calibration concept is introduced in the paper and applied to a planar 4RPR RA-PKM. Numerical simulation results are presented that confirm the feasibility of this method. The selection of appropriate MRP is briefly discussed.

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References

  1. D.J. Bennett, J.M. Hollerbach: Autonomous Calibration of a single loop closed kinematic chain formed by manipulators with passive endpoint constraints. IEEE Trans. Robot. Autom. 7(5), 597–605 (1989)

    Article  Google Scholar 

  2. S. Cong, C. Feng, Y. Zhang, Z. Li, S. Jiang: Kinematic Parameters Auto-Calibration of Redundant Planar 2-Dof Parallel Manipulator. In: Parallel Manipulators, New Developments, pp. 241–268. I-Tech Education and Publishing, Vienna, Austria, (2008)

    Google Scholar 

  3. G. Ecorchard, R. Neugebauer, P. Maurine: Elasto-geometrical modeling and calibration of redundantly actuated PKMs. Mech. Mach. Theory 45, 795–810 (2010)

    Article  MATH  Google Scholar 

  4. C. Gosselin, J. Angeles: Singularity analysis of closed loop kinematic chains. IEEE Trans. Robot. Autom. 6(3), 281–290 (1990)

    Article  Google Scholar 

  5. J. Hesselbach et al.: Passive-joint sensors for parallel robots. Mechatronics 15, 43–65 (2005)

    Article  Google Scholar 

  6. J.M. Hollerbach, C.W. Wampler: The calibration index and taxonomy for robot kinematic calibration methods. Int. J. Robot. Res. 15(6), 573–591 (1996)

    Article  Google Scholar 

  7. D. Jeon et al.: A calibration method of redundantly actuated parallel mechanism machines based on projection technique. CIRP Ann. - Manuf. Technol. 59, 413–416 (2010)

    Article  MathSciNet  Google Scholar 

  8. W. Khalil, S. Besnard: Self-calibration of Stewart–Gough parallel robots without extra sensors. IEEE Trans. Robot. Autom. 15(6), 1116–1121 (1999)

    Article  Google Scholar 

  9. P. Last, C. Budde, J. Hesselbach: Self-calibration of the HEXA-parallel-structure. In: Proc. IEEE Int. Conf. Aut. Science and Eng. (CASE), Edmonton, Canada, August 1–2, pp. 393–398 (2005)

    Google Scholar 

  10. P. Last, D. Schütz, A. Raatz, J. Hesselbach: Singularity based calibration of 3-DOF fully parallel planar manipulators. In: Proceedings of the 12th IFToMM World Congress, Besancon, France, June, pp. 18–21 (2007)

    Google Scholar 

  11. P. Last, A. Raatz, J. Hesselbach: Singularity-based calibration – A novel approach for absolute-accuracy enhancement of parallel robots. In: A. Lazinica, H. Kawai (eds.) Robot Manipulators New Achievements, InTech Publishing (2010)

    Google Scholar 

  12. A. Nahvi, J.M. Hollerbach, V. Hayward: Calibration of parallel robot using multiple kinematic closed loops. In: Proc. IEEE Int. Conf. Robot. Autom. (ICRA), pp. 407–412 (1994)

    Google Scholar 

  13. S.M. O’Brien, J.A. Carretero, P. Last: Self calibration of 3-PRS manipulator without redundant sensors. Trans. Can. Soc. Mech. Eng. 31(4), 483–494 (2007)

    Google Scholar 

  14. H. Ota, T. Shibukawa, T. Tooyama, M. Uchiyama: Forward kinematic calibration method for parallel mechanism using pose data measured by a double ball bar system. In: Proc. Year 2000 Parallel Kinematic Mach. Int. Conf., pp. 57–62 (2000)

    Google Scholar 

  15. A. Rauf, S.G. Kim, J. Ryu: Complete parameter identification of parallel manipulators with partial pose information using a new measurement device. Robotica 22(6), 689–695 (2004)

    Article  Google Scholar 

  16. A. Rauf, A. Pervez, J. Ryu: Experimental results on kinematic calibration of parallel manipulators using a partial pose measurement device. IEEE Trans. Rob. Control 22(2), 379–384 (2006)

    Article  Google Scholar 

  17. J. Ryu, A. Rauf: A new method for fully autonomous calibration of parallel manipulators using a constraint link. In: Proc. IEEE/ASME Int. Conf. Advanced Intelligent Mechatronics (AIM), Como, Italy, July 8–12, pp. 141–146 (2001)

    Google Scholar 

  18. C.W. Wampler, J.M. Hollerbach, T. Arai: An implicit loop method for kinematic calibration and its application to closed-chain mechanisms. IEEE Trans. Robot. Autom. 11(5), 710–724 (1995)

    Article  Google Scholar 

  19. M. Weck, D. Staimer: Accuracy issues of parallel kinematic machine tools: Compensation and calibration. In: Int. Conf. Parallel Kinematic Machines, pp. 35–41 (2000)

    Google Scholar 

  20. Y.K. Yiu, J. Meng, Z.X. Li: Auto-calibration for a parallel manipulator with sensor redundancy. In: Proc. IEEE Int. Conf. Rob. Automat. (ICRA), Taipei, Sept. 14–19, pp. 3660–3665 (2003)

    Google Scholar 

  21. Y.X. Zhang, S. Cong, W.W. Shang, Z.X. Li, S.L. Jiang: Modeling, identification and control of a redundant planar 2-DOF parallel manipulator. Int. J. Control. Autom. Syst. 5(5), 559–569 (2007)

    Google Scholar 

  22. H. Zhuang: Self-calibration of parallel mechanisms with a case study on Stewart platforms. IEEE Trans. Robot. Autom. 13(3), 387–397 (1995)

    Article  Google Scholar 

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Correspondence to Andreas Müller .

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Müller, A., Ruggiu, M. (2012). Self-Calibration of Redundantly Actuated PKM Based on Motion Reversal Points. In: Lenarcic, J., Husty, M. (eds) Latest Advances in Robot Kinematics. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-4620-6_10

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  • DOI: https://doi.org/10.1007/978-94-007-4620-6_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-4619-0

  • Online ISBN: 978-94-007-4620-6

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