Kinematic calibration of a class of parallel kinematic machines (PKM) with fewer than six degrees of freedom

By taking a 3-DOF translational milling machine as an example, this paper investigates the kinematic calibration of PKM systems with fewer than 6-DOF. The error mapping function is formulated in such a way that the geometric errors affecting the compensatable and uncompensatable pose errors can be separated. Based upon the previous investigation, a hierarchical approach to the geometric error identification is proposed. The compensation strategy is developed which is particularly suitable for the PKM systems with translational moving capability. The experiment has been carried out to verify the effectiveness of the proposed approach and the results show that the accuracy can be significantly improved.

[1]  Wisama Khalil,et al.  Identifiable parameters for parallel robots kinematic calibration , 2001, Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164).

[2]  Hanqi Zhuang,et al.  Method for kinematic calibration of stewart platforms , 1993, J. Field Robotics.

[3]  Tian Huang,et al.  Identifiability of geometric parameters of 6-DOF PKM systems using a minimum set of pose error data , 2003, 2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422).

[4]  Lixin Liu,et al.  Self-calibration of a class of parallel manipulators , 1996, Proceedings of IEEE International Conference on Robotics and Automation.

[5]  Johannes A. Soons.  On the Geometric and Thermal Errors of a Hexapod Machine Tool , 1999 .

[6]  Frank Chongwoo Park,et al.  Geometric algorithms for closed chain kinematic calibration , 1999, Proceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No.99CH36288C).

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

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

[9]  Tian Huang,et al.  A Unified Error Model for Tolerance Design, Assembly and Error Compensation of 3-DOF Parallel Kinematic Machines with Parallelogram Struts , 2002 .

[10]  Abdul Rauf,et al.  Fully autonomous calibration of parallel manipulators by imposing position constraint , 2001, Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164).

[11]  Li Ya,et al.  Error modeling, sensitivity analysis and assembly process of a class of 3-DOF parallel kinematic machines with parallelogram struts , 2002 .

[12]  Jian Wang,et al.  On the accuracy of a Stewart platform. II. Kinematic calibration and compensation , 1993, [1993] Proceedings IEEE International Conference on Robotics and Automation.

[13]  Jing Song,et al.  Error Modeling and Compensation for Parallel Kinematic Machines , 1999 .

[14]  Tian Huang,et al.  A Simple yet Effective Approach for Error Compensation of a Tripod-Based Parallel Kinematic Machine , 2000 .

[15]  Zvi S. Roth,et al.  Fundamentals of Manipulator Calibration , 1991 .

[16]  Hanqi Zhuang,et al.  Calibration of stewart platforms and other parallel manipulators by minimizing inverse kinematic residuals , 1998 .