ZHU Xiangyang, ZHONG Binglin, XIONG Youlun. SINGULARITIES TREATMENT FOR MANIPULATOR INVERSE KINEMATICS EVALUATION[J]. ROBOT, 1996, 18(5): 264-267.
Citation: ZHU Xiangyang, ZHONG Binglin, XIONG Youlun. SINGULARITIES TREATMENT FOR MANIPULATOR INVERSE KINEMATICS EVALUATION[J]. ROBOT, 1996, 18(5): 264-267.

SINGULARITIES TREATMENT FOR MANIPULATOR INVERSE KINEMATICS EVALUATION

More Information
  • Received Date: February 08, 1996
  • Published Date: September 14, 1996
  • Methods using the Jacobian matrix are quite effective for manipulator inverse kinematic solution except in regions near singular points. Many approaches have been developed to handle the singularity problem. In this paper, an algorithm using damped pseudoinverse with variable damped weight is introduced for inverse kinematic solution. An upper bound of condition number of the Jacobian matrix is established, according to the value of this upper bound, a method to adaptively adjust the damped weight is proposed. The introduced algorithm is stable in regions near singular points and can achieve accurate solution.
  • 1 Nakamura Y,Hanafusa H.Inverse Kinematic Solutions with Singularity Robust ness for Robot Manipulator Control.ASME Journal of Dynamic Systems,Measurement,and Control,1986,108:163~171
    2 Wampler C W.Manipulator Inverse Kinematic Solutions Based on Vector Formulations and Damped Least-squares Method.IEEE Trans,Systems,Man,and Cybernetics,1986,SMC-16(1):93~101
    3 Angeles J,Rojas A A.Manipulator In verse Kinematicsvia Condition Minimization and Condituation.Int J Robotics and Automation,1987,2(2):61~69
    4 Mayorga R V,Wong A K C,Milano.A Fast Procedure for Manipulat or Inverse Kinematics Evaluation and Pseudoinverse Robust ness.IEEE Trans Systems,Man and Cybernetics,1992,SMC-22(4):790~798
    5 Chan S K,Lawrence P D.General Inverse Kinematics with the Error Damped Pseudoin verse.Proc IEEE Int Conf Robotics and Automation,1988:834~839
  • Related Articles

    [1]JING Chenglin, LI Zushu, XUE Fangzheng. Fuzzy Adaptive Algorithm for Biped Robot Inverse Kinematics[J]. ROBOT, 2010, 32(4): 534-539,546.
    [2]HU Na, CHEN Yong, WANG Hongxing. Mechanism Design and Singularity Analysis of an Information Collection Robot in Agricultural Fields[J]. ROBOT, 2010, 32(3): 363-368.
    [3]CHENG Yong-lun, ZHU Shi-qiang, LIU Song-guo. Inverse Kinematics of 6R Robots Based on the Orthogonal Character of Rotation Sub-matrix[J]. ROBOT, 2008, 30(2): 160-164.
    [4]KANG Qing-sheng, MENG Zheng-da, DAI Xian-zhong. Application of Pseudo-inverse Estimation of Image Jacobian Matrix to Visual Servoing[J]. ROBOT, 2006, 28(4): 406-409,414.
    [5]LIU Feng, SUN Mao-xiang, DONG Zhu-xin, XU Jin-xue. A Linear Approach for Robot Hand-Eye Calibration Based on the Projection Matrix M[J]. ROBOT, 2005, 27(4): 301-305.
    [6]ZOU Jianqi, YIN Chaowan, ZHANG Jingjun, LU Youfang. PARALLEL COMPUTATION FOR THE MANIPULATOR INERTIA MATRIX[J]. ROBOT, 1997, 19(5): 344-349.
    [7]CHEN Guofeng, FU Xiangzhi, LIAO Daoxun. COMPUTE-AUTOMATED GENERATION OF MANIPULATOR SYMBOLIC MODELS ON DKP & JACOBIAN[J]. ROBOT, 1993, 15(5): 13-19.
    [8]ZHAO Guowen. QUATERNION MATRIX AND BASIS TRANSFORMATION MATRIX IN ROBOT KINEMATCS[J]. ROBOT, 1993, 15(2): 59-64.
    [9]LI Bingcheng, SHEN Jun. CONSTRAINED OPTIMIZATION APPROACH TO THE ESTIMATION OF ROTATION MATRIX[J]. ROBOT, 1991, 13(3): 1-5.
    [10]LIU Deman, MA Xian, LIU Zong fu. ROBUST INVERSION OF SINGULARITY OF ROBOT MANIPULATORS[J]. ROBOT, 1991, 13(2): 10-17.

Catalog

    Article views (132) PDF downloads (2544) Cited by()
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return