• DocumentCode
    2410546
  • Title

    A new Coriolis matrix factorization

  • Author

    Bjerkeng, Magnus ; Pettersen, Kristin Y.

  • Author_Institution
    Dept. of Eng. Cybern., Norwegian Univ. of Sci. & Technol., Trondheim, Norway
  • fYear
    2012
  • fDate
    14-18 May 2012
  • Firstpage
    4974
  • Lastpage
    4979
  • Abstract
    This paper presents a novel Coriolis/centripetal matrix factorization applicable to serial link rigid manipulators. The computationally efficient Coriolis matrix factorization is explicitly given as a function of the robot´s kinematic matrices and their time derivatives which are easily obtained using the Denavit-Hartenberg-convention. The factorization is different from the popular Christoffel symbol representation, but the important skew-symmetry property is preserved. The proposed factorization is used to determine the class of manipulators for which a particular non-minimal representation of the manipulator dynamics exists.
  • Keywords
    computational complexity; manipulator dynamics; manipulator kinematics; matrix decomposition; Christoffel symbol representation; Coriolis matrix factorization; Denavit-Hartenberg-convention; centripetal matrix factorization; computational complexity comparison; manipulator dynamics; nonminimal representation; robot kinematic matrix; serial link rigid manipulators; skew-symmetry property; time derivative; Force; Jacobian matrices; Joints; Manipulators; Mathematical model; Symmetric matrices; Transmission line matrix methods;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Robotics and Automation (ICRA), 2012 IEEE International Conference on
  • Conference_Location
    Saint Paul, MN
  • ISSN
    1050-4729
  • Print_ISBN
    978-1-4673-1403-9
  • Electronic_ISBN
    1050-4729
  • Type

    conf

  • DOI
    10.1109/ICRA.2012.6224820
  • Filename
    6224820