Kinematic model calibration of a 7-DOF capstan-driven haptic device for pose and force control accuracy improvement

The literature on kinematic calibration of industrial robots and haptic devices suggests that proper model calibration is indispensable for accurate pose estimation and precise force control. Despite the variety of studies in the literature, the effects of transmission errors on positioning accuracy or the enhancement of force control by kinematic calibration is not fully studied. In this article, an easy to implement kinematic calibration method is proposed for the systems having transmission errors. The presented method is assessed on a 7-DOF Phantom-like haptic device where transmission errors are inherently present due to the use of capstan drives. Simulation results on pose estimation accuracy and force control precision are backed up by experiments.

[1]  Jean-Luc Caenen,et al.  Identification of geometric and nongeometric parameters of robots , 1990, Proceedings., IEEE International Conference on Robotics and Automation.

[2]  Mel Slater,et al.  A Virtual Presence Counter , 2000, Presence: Teleoperators & Virtual Environments.

[3]  Chris Lightcap,et al.  Improved Positioning Accuracy of the PA10-6CE Robot with Geometric and Flexibility Calibration , 2008, IEEE Transactions on Robotics.

[4]  Gábor Székely,et al.  Calibration, Registration, and Synchronization for High Precision Augmented Reality Haptics , 2009, IEEE Transactions on Visualization and Computer Graphics.

[5]  Samuel Thomas McJunkin Transparency improvement for haptic interfaces , 2007 .

[6]  B. Shirinzadeh,et al.  Laser interferometry based robot position error modelling for kinematic calibration , 2003, Proceedings 2003 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2003) (Cat. No.03CH37453).

[7]  E. Ilhan Konukseven,et al.  Theoretical and experimental determination of capstan drive slip error , 2010 .

[8]  Gábor Székely,et al.  High Precision Augmented Reality Haptics , 2006 .

[9]  Kenneth Levenberg A METHOD FOR THE SOLUTION OF CERTAIN NON – LINEAR PROBLEMS IN LEAST SQUARES , 1944 .

[10]  Ozgur Baser,et al.  Kinematic Calibration of PHANTOM Premium 1.5/6DOF Haptic Device , 2011 .

[11]  Christopher R. Johnson,et al.  A comprehensive calibration and registration procedure for the Visual Haptic Workbench , 2003 .

[12]  Andrej Pázman,et al.  Nonlinear Regression , 2019, Handbook of Regression Analysis With Applications in R.

[13]  Alexei Lisounkin,et al.  Modeling closed-loop mechanisms in robots for purposes of calibration , 1997, IEEE Trans. Robotics Autom..

[14]  Ozgur Baser,et al.  Kinematic calibration of a 7 DoF hapic device , 2011, 2011 15th International Conference on Advanced Robotics (ICAR).

[15]  Kevin L. Conrad,et al.  On the Accuracy, Repeatability, and Degree of Influence of Kinematics Parameters for Industrial Robots , 2002 .

[16]  M. Yamada,et al.  A Kinematic Calibration Method for Industrial Robots Using Autonomous Visual Measurement , 2006 .

[17]  Tuna Balkan,et al.  Optimal Posture Control for a 7 DOF Haptic Device Based on Power Minimization , 2008, EuroHaptics.

[18]  G. Seber,et al.  Nonlinear Regression: Seber/Nonlinear Regression , 2005 .

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

[20]  Robert P. Judd,et al.  A technique to calibrate industrial robots with experimental verification , 1987, IEEE Trans. Robotics Autom..

[21]  J. Chen,et al.  Positioning error analysis for robot manipulators with all rotary joints , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[22]  Samad Hayati,et al.  Robot arm geometric link parameter estimation , 1983, The 22nd IEEE Conference on Decision and Control.

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

[24]  Ying Bai,et al.  Improving Position Accuracy of Robot Manipulators Using Neural Networks , 2005, 2005 IEEE Instrumentationand Measurement Technology Conference Proceedings.

[25]  Philippe Lemoine,et al.  Comparison study of the geometric parameters calibration methods , 2000 .

[26]  Martin Buss,et al.  Perception of Compliant Environments through a Visual-Haptic Human System Interface , 2007, CW 2007.

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

[28]  Roque Saltaren,et al.  Design, modelling and implementation of a 6 URS parallel haptic device , 2004, Robotics Auton. Syst..

[29]  Valenciennes Cedex,et al.  IDENTIFICATION OF GEOMETRIC AND NON GEOMETRIC PARAMETERS OF ROBOTS , 1990 .

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

[31]  Matthias Harders,et al.  Comparison of tracker-based to tracker-less haptic device calibration , 2011, 2011 IEEE World Haptics Conference.

[32]  Mehmet Ismet Can Dede,et al.  Design of a haptic device for teleoperation and virtual reality systems , 2009, 2009 IEEE International Conference on Systems, Man and Cybernetics.

[33]  M. C. Cavusoglu,et al.  In Touch with Robotics: Neurosurgery for the Future , 2005, Neurosurgery.

[34]  D. Marquardt An Algorithm for Least-Squares Estimation of Nonlinear Parameters , 1963 .

[35]  Benjamin W. Mooring,et al.  The effect of kinematic model complexity on manipulator accuracy , 1989, Proceedings, 1989 International Conference on Robotics and Automation.

[36]  Ronald Lumia,et al.  An Automated Method to Calibrate Industrial Robots Using a Virtual Closed Kinematic Chain , 2007, IEEE Transactions on Robotics.

[37]  Ian Jenkinson,et al.  Application of genetic programming to the calibration of industrial robots , 2007, Comput. Ind..

[38]  Kevin Cleary,et al.  Closed-Loop Force Control for Haptic Simulation of Virtual Environments , 2000 .

[39]  Daniel Thalmann,et al.  MHaptic : a Haptic Manipulation Library for Generic Virtual Environments , 2007, CW 2007.

[40]  Ronald Azuma,et al.  A Survey of Augmented Reality , 1997, Presence: Teleoperators & Virtual Environments.

[41]  R. Bernhardt Approaches for commissioning time reduction , 1997 .