Installation Error Calibration by Using Levenberg-Marquardt Method on a Cubic Parallel Manipulator

Levenberg-Marquardt 방법을 이용한 육면형 병렬기구의 설치 오차 보정

  • Published : 2003.02.01

Abstract

A parallel manipulator has high stiffness and all the joint errors on the device are not accumulated at the end -effector unlike a serial manipulator. These are the reasons why the parallel manipulator has been widely used in many fields of industry. In the parallel manipulator, it is very important to predict the exact pose of the end-effector when we want to control the end-effector motion. Installation errors have to be determined in order to predict and control the actual position and pose of the end-effector. This paper presents an algorithm to find the whole 36 joint error components with joint clearance errors and measurement errors considered, when a link length measurement sensor is used and data more than 36 times are acquired for 36 different configurations. A simulation test using this algorithm is performed with a Matlab program which uses the Levenberg-Marquardt method that is known to be efficient for non-linear optimization.

Keywords

References

  1. H. Zhuang, 'Self-Calibration of Parallel Mechanism with a Case Study on Stewart Platform,' IEEE transactions on Robotics and Automation, Vol. 13, No. 3, pp. 387-397, 1997 https://doi.org/10.1109/70.585901
  2. B. W. Mooring, Z. S. Roth, and M. Dries, 'Fundamentals of Manipulator Calibration,' New York, John Wiley & Sons, Inc., pp. 243-254, 1991
  3. H. Zhuang, O. Masory, and J. Yan, 'Kinematic Calibration of a Stewart Platform Using Pose Measurements Obtained by a Single Theodolite,' IEEE transactions on Robotics and Automation, pp. 329-334, 1995 https://doi.org/10.1109/IROS.1995.526237
  4. H. Zhaung, Zvi. S. Roth, 'Method for Kinematic Calibration of Stewart Platforms,' Journal of Robotics Systems, Vol. 10, No. 3, pp391-405, 1993 https://doi.org/10.1002/rob.4620100306
  5. Z. J. Geng and L. S. Haynes, 'An Effective Kinematic Calibration Method for Stewart Platfroms,' ISRAM, pp. 87-92, 1994
  6. 최우천, 임현규, '길이 측정 센서를 이용한 병렬기구의 기하학적 오차 보정,' 한국정밀공학회지, 제17권, 제 11 호,pp. 94-100, 2000
  7. S. R. Lim, W.C. Choi, J. Song, and D. Hong, 'Error Model and Accuracy Analysis of a Cubic Parallel Device,' International Journal of the Korean Society of Precision Engineering, Vol. 2, No. 4, pp 75-80, 2001