ON ASYMPTOTIC MOTIONS OF ROBOT-MANIPULATOR IN HOMOGENEOUS SPACE

被引:0
|
作者
Dekret, Anton [1 ]
Baksa, Jan [1 ]
机构
[1] Fac Wooden Sci, Dept Math & Descript Geometry, Zvolen 96053, Slovakia
关键词
local differential geometry; robotics; Lie algebra; asymptotic motion;
D O I
10.1007/s10492-008-0040-y
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper the notion of robot-manipulators in the Euclidean space is generalized to the case in a general homogeneous space with the Lie group G of motions. Some kinematic subspaces of the Lie algebra G (the subspaces of velocity operators, of Coriolis acceleration operators, asymptotic subspaces) are introduced and by them asymptotic and geodesic motions are described.
引用
收藏
页码:535 / 545
页数:11
相关论文
共 50 条
  • [21] Application of markerless image-based arm tracking to robot-manipulator teleoperation
    Verma, S
    Kofman, J
    Wu, XH
    1ST CANADIAN CONFERENCE ON COMPUTER AND ROBOT VISION, PROCEEDINGS, 2004, : 201 - 208
  • [22] Analytical solution to inverse kinematic problem for 6-DOF robot-manipulator
    I. A. Vasilyev
    A. M. Lyashin
    Automation and Remote Control, 2010, 71 : 2195 - 2199
  • [23] Computing fault tolerant motions for a robot manipulator
    Ralph, SK
    Pai, DK
    ICRA '99: IEEE INTERNATIONAL CONFERENCE ON ROBOTICS AND AUTOMATION, VOLS 1-4, PROCEEDINGS, 1999, : 486 - 493
  • [24] STABILITY AND STABILIZATION OF PROGRAMMED MOTIONS OF A MANIPULATOR ROBOT
    TIMOFEEV, AV
    EKALO, YV
    AUTOMATION AND REMOTE CONTROL, 1976, 37 (10) : 1592 - 1599
  • [25] Computing fault tolerant motions for a robot manipulator
    Ralph, Scott K.
    Pai, Dinesh K.
    Proceedings - IEEE International Conference on Robotics and Automation, 1999, 1 : 486 - 493
  • [26] ROBOT-MANIPULATOR TELEOPERATION BY MARKERLESS VISION-BASED HAND-ARM TRACKING
    Kofman, Jonathan
    Verma, Siddharth
    Wu, Xianghai
    INTERNATIONAL JOURNAL OF OPTOMECHATRONICS, 2007, 1 (03) : 331 - 357
  • [27] Analytic description of discrete dynamics of a robot-manipulator in an indefinite exterior medium by methods of idempotent mathematics
    Nikolaev, D. A.
    AUTOMATION AND REMOTE CONTROL, 2012, 73 (11) : 1852 - 1864
  • [28] Structural Analysis and Animated Simulation of Biotechnical Position-Velocity Control System of a Robot-Manipulator
    Rostova, Ekaterina
    Rostov, Nikolay
    Sokolov, Boris
    INTERACTIVE COLLABORATIVE ROBOTICS, ICR 2018, 2018, 11097 : 222 - 232
  • [30] Analytic description of discrete dynamics of a robot-manipulator in an indefinite exterior medium by methods of idempotent mathematics
    D. A. Nikolaev
    Automation and Remote Control, 2012, 73 : 1852 - 1864