• DocumentCode
    880605
  • Title

    Manipulator kinematics and the epsilon algebra

  • Author

    Walker, Michael W.

  • Author_Institution
    Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA
  • Volume
    4
  • Issue
    2
  • fYear
    1988
  • fDate
    4/1/1988 12:00:00 AM
  • Firstpage
    186
  • Lastpage
    192
  • Abstract
    An algebra is defined for use in problems of manipulator kinematics. With this algebra, one can program the solution to the kinematics in position problems, and use this same program to solve the kinematics problems in velocity and acceleration. The inverse kinematics part of the program can be used to obtain any order time-derivative of the joint positions. Some of the properties of the algebra are shown and functions of the elements of the algebra are defined. The solution to the forward and inverse kinematics problem is presented, and the use of the Ada programming language is discussed
  • Keywords
    algebra; kinematics; position control; robots; epsilon algebra; forward kinematics; inverse kinematics; manipulator kinematics; position control; robots; time-derivative; Acceleration; Algebra; Angular velocity; Closed-form solution; Equations; Helium; Inverse problems; Kinematics; Robotics and automation; Wrist;
  • fLanguage
    English
  • Journal_Title
    Robotics and Automation, IEEE Journal of
  • Publisher
    ieee
  • ISSN
    0882-4967
  • Type

    jour

  • DOI
    10.1109/56.2082
  • Filename
    2082