A Compensation Method for Enhancing Aviation Drilling Robot Accuracy Based on Co-Kriging

The positional error of aviation drilling robot has a great influence on the strength and lives of aircrafts in the aircraft assembly. In order to improve the position accuracy of aviation drilling robot, an error compensation method based on co-kriging is proposed in this paper. The error similarity based on the kinematic of drilling robot is proposed firstly. Then, the positional errors of a set of points in the workspace are measured by using precision laser tracker. The measurement data are used to fit the cross-variogram of positional error. After the cross-variogram is obtained, the predicted positional errors of verification points can be estimated based on co-kriging. The positions after compensation are given to the drilling robot. The proposed method is carried out on an aviation drilling robot for practical compensation to verify the correctness and effectiveness of the error compensation method. The experimental results show that the average absolute positional error is reduced to 0.1150 mm from 0.7168 mm, and that the maximum absolute positional error is reduced to 0.2664 mm from 1.3073 mm. The experimental results also demonstrate that the proposed method can improve the absolute position accuracy of aviation robot and could meet the requirement of aircraft assembly.

[1]  In-Won Park,et al.  Laser-Based Kinematic Calibration of Robot Manipulator Using Differential Kinematics , 2012, IEEE/ASME Transactions on Mechatronics.

[2]  Jun Ni,et al.  Nongeometric error identification and compensation for robotic system by inverse calibration , 2000 .

[3]  G. Gatti,et al.  A practical approach to compensate for geometric errors in measuring arms: application to a six-degree-of-freedom kinematic structure , 2007 .

[4]  Ricardo A. Olea,et al.  A six-step practical approach to semivariogram modeling , 2006 .

[5]  Shuzi Yang,et al.  Kinematic-Parameter Identification for Serial-Robot Calibration Based on POE Formula , 2010, IEEE Transactions on Robotics.

[6]  Daniel E. Whitney,et al.  Industrial Robot Forward Calibration Method and Results , 1986 .

[7]  Leila Notash,et al.  Kinematic calibration of a wire-actuated parallel robot , 2007 .

[8]  Tao Sun,et al.  Kinematic calibration of a 3-DoF rotational parallel manipulator using laser tracker , 2016 .

[9]  Bai Yunfe Kinematic Parameter Identification for 6R Serial Robots Based on a 6-Parameter Model , 2015 .

[10]  Stéphane Caro,et al.  Geometric calibration of industrial robots using enhanced partial pose measurements and design of experiments , 2015 .

[11]  Donald E. Myers,et al.  Estimation of linear combinations and co-kriging , 1983 .

[12]  Giovanni Legnani,et al.  Three methodologies for the calibration of industrial manipulators: Experimental results on a SCARA robot , 2000 .

[13]  Yoon Keun Kwak,et al.  Calibration of geometric and non-geometric errors of an industrial robot , 2001, Robotica.

[14]  Jin Li,et al.  Spatial interpolation methods applied in the environmental sciences: A review , 2014, Environ. Model. Softw..

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

[16]  Ilian A. Bonev,et al.  Non-kinematic calibration of a six-axis serial robot using planar constraints , 2015 .

[17]  Temesguen Messay,et al.  Computationally efficient and robust kinematic calibration methodologies and their application to industrial robots , 2016 .

[18]  Xiao Lu,et al.  A screw axis identification method for serial robot calibration based on the POE model , 2012, Ind. Robot.

[19]  Jian Zhou,et al.  A calibration method for enhancing robot accuracy through integration of an extended Kalman filter algorithm and an artificial neural network , 2015, Neurocomputing.

[20]  Jian Zhou,et al.  Robot Geometric Parameter Identification with Extended Kalman Filtering Algorithm , 2013, ICIC.

[21]  D. Myers Matrix formulation of co-kriging , 1982 .

[22]  Jie Liang,et al.  Robotic drilling system for titanium structures , 2011 .

[23]  Shibin Yin,et al.  A multilevel calibration technique for an industrial robot with parallelogram mechanism , 2015 .

[24]  Juha Heikkinen,et al.  Spatial interpolation of monthly climate data for Finland: comparing the performance of kriging and generalized additive models , 2013, Theoretical and Applied Climatology.

[25]  Ying Bai,et al.  Robot manipulator calibration using neural network and a camera-based measurement system , 2012 .

[26]  Guilin Yang,et al.  Local POE model for robot kinematic calibration , 2001 .

[27]  Wei Zhou,et al.  Theory and Experiment of Industrial Robot Accuracy Compensation Method Based on Spatial Interpolation , 2013 .

[28]  Arthur C. Sanderson,et al.  Statistical performance evaluation of the S-model arm signature identification technique , 1988, Proceedings. 1988 IEEE International Conference on Robotics and Automation.

[29]  Wenhe Liao,et al.  Calibration of robotic drilling systems with a moving rail , 2014 .

[30]  Ilian A. Bonev,et al.  Absolute calibration of an ABB IRB 1600 robot using a laser tracker , 2013 .

[31]  Ilian A. Bonev,et al.  Absolute robot calibration with a single telescoping ballbar , 2014 .

[32]  Ying Bai,et al.  On the comparison of model-based and modeless robotic calibration based on a fuzzy interpolation method , 2007 .

[33]  Seiji Aoyagi,et al.  Improvement of robot accuracy by calibrating kinematic model using a laser tracking system-compensation of non-geometric errors using neural networks and selection of optimal measuring points using genetic algorithm- , 2010, 2010 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[34]  John Hartmann,et al.  Robotic Drilling System for 737 Aileron , 2007 .

[35]  Arthur C. Sanderson,et al.  Arm signature identification , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[36]  Jorge Santolaria,et al.  Laser tracker-based kinematic parameter calibration of industrial robots by improved CPA method and active retroreflector , 2013 .

[37]  Rui Li,et al.  Dynamic error compensation for industrial robot based on thermal effect model , 2016 .

[38]  Ilian A. Bonev,et al.  Absolute accuracy analysis and improvement of a hybrid 6-DOF medical robot , 2015, Ind. Robot.

[39]  Mohamed Abderrahim,et al.  Kinematic model identification of industrial manipulators , 2000 .

[40]  Wenhe Liao,et al.  Positional error similarity analysis for error compensation of industrial robots , 2016 .