• DocumentCode
    1818381
  • Title

    Jacobian motion planning of nonholonomic robots: The Lagrangian Jacobian algorithm

  • Author

    Tchon, Krzysztof ; Goral, Ida ; Ratajczak, Adam

  • Author_Institution
    Cybern. & Robot., Electron. Fac., Wroclaw Univ. of Technol., Wrocław, Poland
  • fYear
    2015
  • fDate
    6-8 July 2015
  • Firstpage
    229
  • Lastpage
    234
  • Abstract
    For nonholonomic robots whose kinematics are described by a driftless control system with outputs a new Jacobian inverse and a Jacobian motion planning algorithm are proposed. This inverse is based on solving a Lagrange-type constrained optimization problem, generalizing the usual Jacobian pseudoinverse. A case study illustrates a potential applicability of the new algorithm to shaping the system´s motion.
  • Keywords
    Jacobian matrices; optimisation; path planning; robot kinematics; Jacobian inverse; Jacobian motion planning algorithm; Jacobian pseudoinverse; Lagrange-type constrained optimization problem; Lagrangian Jacobian algorithm; driftless control system; kinematics; nonholonomic robots; Jacobian matrices; Kinematics; Linear programming; Planning; Robots; Trajectory;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Robot Motion and Control (RoMoCo), 2015 10th International Workshop on
  • Conference_Location
    Poznan
  • Type

    conf

  • DOI
    10.1109/RoMoCo.2015.7219740
  • Filename
    7219740