Artefact calibration of parallel mechanism, kinematic calibration with a priori knowledge

In the application of parallel mechanisms, it is necessary to calibrate the kinematic parameters and improve the positioning accuracy for accurate task performance. However, there are strong correlations between all the parameters in the kinematic calibration of a parallel mechanism. Therefore, it is difficult to identify all kinematic parameters included in a kinematic model of the parallel mechanism from measuring data. In this study, we proposed to use ap rioriknowledge of the kinematic parameters to eliminate their correlation and to give robustness to the calibration. Ap riori knowledge can be given without extra measurement when the manufacturing process of the mechanism is under quality control. Using ap rioriknowledge, all kinematic parameters of the parallel mechanism are identified in the artefact calibration without divergence. First, an artefact calibration with ap rioriknowledge is formulated. Second, the estimation of ap rioriknowledge under quality control is described. Finally, the robustness and effectiveness of the artefact calibration with ap riori knowledge is demonstrated through simulations.

[1]  Kenneth J. Waldron,et al.  Direct kinematic solution of a Stewart platform , 1990, IEEE Trans. Robotics Autom..

[2]  Pradeep K. Khosla Categorization of parameters in the dynamic robot model , 1989, IEEE Trans. Robotics Autom..

[3]  Shaoping Bai,et al.  Kinematic Calibration and Pose Measurement of a Medical Parallel Manipulator by Optical Position Sensors , 2003, J. Field Robotics.

[4]  R. FURUTANI,et al.  Parameter Calibration of Articulated CMM , 2002 .

[5]  Tatsuo Arai,et al.  An implicit loop method for kinematic calibration and its application to closed-chain mechanisms , 1995, IEEE Trans. Robotics Autom..

[6]  Yiu Cheung Shiu,et al.  Calibration of wrist-mounted robotic sensors by solving homogeneous transform equations of the form AX=XB , 1989, IEEE Trans. Robotics Autom..

[7]  John M. Hollerbach,et al.  Autonomous calibration of single-loop closed kinematic chains formed by manipulators with passive endpoint constraints , 1991, IEEE Trans. Robotics Autom..

[8]  J. Denavit,et al.  A kinematic notation for lower pair mechanisms based on matrices , 1955 .

[9]  Louis J. Everett,et al.  Kinematic modelling for robot calibration , 1987, Proceedings. 1987 IEEE International Conference on Robotics and Automation.

[10]  Jean-Michel Renders,et al.  Kinematic calibration and geometrical parameter identification for robots , 1991, IEEE Trans. Robotics Autom..

[11]  Hanqi Zhuang,et al.  A complete and parametrically continuous kinematic model for robot manipulators , 1992, IEEE Trans. Robotics Autom..

[12]  Masahiko Hiraki,et al.  Calibration of 2-DOF Parallel Mechanism , 2002 .

[13]  Kiyoshi Takamasu,et al.  KINEMATICAL CALIBRATION OF ARTICULATED CMM USING MULTIPLE SIMPLE ARTIFACTS , 2003 .

[14]  Wisama Khalil,et al.  Self calibration of Stewart-Gough parallel robots without extra sensors , 1999, IEEE Trans. Robotics Autom..

[15]  Hanqi Zhuang,et al.  Self-calibration of parallel mechanisms with a case study on Stewart platforms , 1997, IEEE Trans. Robotics Autom..