A study on the manipulability measures of robot manipulators

로봇의 조작도 지수에 관한 연구

  • Lee, Yeong-Il (Dept. of Mechatronics Engineering, Chungnam National University) ;
  • Lee, Ji-Hong (Dept. of Mechatronics Engineering, Chungnam National University)
  • 이영일 (충남대학교 항공우주 및 메카트로닉스공학과) ;
  • 이지홍 (충남대학교 메카트로닉스공학과)
  • Published : 1998.02.01

Abstract

Regarding the measure of dexterity of robot manipulators, two geometric tools, manipulability ellipsoids and manipulability polytopes, are examined and compared with each other. Even though the manipulability ellipsoid approach is the most widely used technique, it is shown that the manipulability ellipsoid transforms the inexact joint velocity constraints into task space and so it may fail to give an exact measure of dexterity and optimal direction of motion in task space. After showing that the polytope approach can handle such problems, we propose a practical polytope method which can be applied to 3-dimensional task space in general. The relation between manipulability ellipsoids and manipulability polytopes are also explored for a redundant case and a non-redundant one.

Keywords

References

  1. Robotics Research, The First International Symposium Analysis and control of robot manipulators with redundancy T. Yoshikawa
  2. Int'l J. Robotics Research v.4 no.2 Manipulability of robotic mechanisms T. Yoshikawa
  3. Proc. of IEEE/RSJ Int'l Conf. on Intelligent Robotics and Systems, IROS'91 Dexterity Measures for design and control of manipulators J.-O. Kim;P. K. Khosla
  4. Proc. IEEE Int'l Conf. on Robotics and Automation, ICRA'94 Local performance optimization for a class of redundant eight-degree-of-freedom manipulators R. L. Williams Ⅱ
  5. Technical memorandum, NASA, TM-4377 Kinematic equations for control of the redundant eight-degree-of-freedom advanced research manipulator Ⅱ R. L. Williams Ⅱ
  6. Advanced Robotics, Redundancy and Optimization Y. Nakamura
  7. Lectures on Polytopes G. M. Ziegler
  8. Journal of Association for Computing Machinery v.17 no.1 An algorithm for convex polytopes D. R. Chand;S. S. Kapur
  9. IEEE Trans. on Robotics and Automation v.11 no.3 Robot manipulability K. L. Doty;C. Melchiorri;E. M. Schwartz;Claudio Bonivento
  10. Proc. Int'l Conf. on Automation, Robotics, Control, and Vision Optimal configuration control for redundant robot manipulators J. Lee
  11. Euclidean geometry and convexity R. V. Benson
  12. Int'l J. Robotics Research v.7 no.5 Task compatibility of manipulator postures S. L. Chiu
  13. ASME Winter Annu. Meet. - Robot. Res. Kinetostatic performance limits of coorperating manipulators using force-velocity polytopes T. Kokkinis;B. Paden
  14. IEEE Trans. on Robotics and Automation v.9 no.2 Comment on 'Global task space manipulability ellipsoids for multiple armed system' and turther consideration C. Melchiorri
  15. Proc. of IEEE Int'l Conf. on Robotics and Automation, ICRA'94 Probability-based weighting of performance criteria for a redundant manipulator S. McGhee(et al.)