• DocumentCode
    1338584
  • Title

    Hyperbolic normal forms for manipulator kinematics

  • Author

    Tchou, K.

  • Author_Institution
    Inst. of Eng. Cybern., Wroclaw Univ. of Technol.
  • Volume
    16
  • Issue
    2
  • fYear
    2000
  • fDate
    4/1/2000 12:00:00 AM
  • Firstpage
    196
  • Lastpage
    201
  • Abstract
    We study the kinematics of robotic manipulators around singular configurations of Corank 1. Sufficient conditions are derived under which the kinematics become equivalent to a hyperbolic normal form. These conditions are illustrated with examples of nonredundant and redundant manipulator kinematics. New normal forms provide a better understanding of the singular behavior of robotic manipulators and are instrumental in solving the singular inverse kinematic problem within the normal form approach
  • Keywords
    Jacobian matrices; manipulator kinematics; singular value decomposition; Corank 1; Jacobian matrix; hyperbolic normal forms; manipulator kinematics; redundant manipulator; singular configurations; singular inverse kinematics; sufficient conditions; Cranes; Instruments; Manipulators; Mathematical model; Motion control; Robot control; Robot kinematics; Sufficient conditions; Trajectory; Wrist;
  • fLanguage
    English
  • Journal_Title
    Robotics and Automation, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1042-296X
  • Type

    jour

  • DOI
    10.1109/70.843176
  • Filename
    843176