Kinematic calibration of a 6-DOF parallel manipulator based on identifiable parameters separation (IPS)

Abstract This paper presents a new calibration method for a 6 degree-of-freedom (DOF) parallel manipulator based on identifiable parameters separation (IPS). This method begins with the parameters separation by the principle of IPS, and then identifies the subsets of the parameters sequentially and respectively. The method aims to identify as many parameters as possible just by simple and direct measuring procedures, which can lower the number of parameters in the complex identification model and thus reduce the coupling effect and uncertainty during identification. Moreover, the reduction of the parameters will allow fewer measurements and faster convergence for the identification algorithm. Firstly, the manipulator is briefly described and its geometric errors are studied. Secondly, the concept of IPS is introduced and the principle of IPS is summarized. Then, according to the proposed method, the corresponding calibration experiment is designed. Lastly, the experiment of this manipulator is conducted and the result shows the validity of the method for accuracy improvement. The rules of IPS and the simplification of complex identification enable the use of this method on other types of parallel mechanisms.

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

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

[3]  Zhongqin Lin,et al.  Determination of the Identifiable Parameters in Robot Calibration Based on the POE Formula , 2014, IEEE Transactions on Robotics.

[4]  Ping Zhang,et al.  Online robot calibration based on vision measurement , 2013 .

[5]  Hanqi Zhuang,et al.  Observability Issues in Kinematic Error Parameter Identification of Manipulators , 1990, 1990 American Control Conference.

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

[7]  Tao Sun,et al.  Kinematic calibration of a 5-DoF parallel kinematic machine , 2016 .

[8]  Jean-Pierre Merlet,et al.  Parallel Robots , 2000 .

[9]  Jing Song,et al.  Parallel Kinematic Machine Positioning Accuracy Assessment and Improvement , 2000 .

[10]  Bahram Ravani,et al.  An overview of robot calibration , 1987, IEEE Journal on Robotics and Automation.

[11]  Frank C. Park,et al.  Geometric Algorithms for Kinematic Calibration of Robots Containing Closed Loops , 2003 .

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

[13]  Hélène Chanal,et al.  Reduction of a parallel kinematics machine tool inverse kinematics model with regard to machining behaviour , 2009 .

[14]  Monica Tiboni,et al.  Optimal design and application of a low-cost wire-sensor system for the kinematic calibration of industrial manipulators , 2014 .

[15]  Wisama Khalil,et al.  Identifiable Parameters and Optimum Configurations for Robots Calibration , 1991, Robotica.

[16]  D. Chetwynd,et al.  A general and novel approach for parameter identification of 6-DOF parallel kinematic machines , 2005 .

[17]  Mehran Yazdi,et al.  Vision-based calibration of a Hexa parallel robot , 2014, Ind. Robot.

[18]  Jian Wang,et al.  On the accuracy of a Stewart platform. I. The effect of manufacturing tolerances , 1993, [1993] Proceedings IEEE International Conference on Robotics and Automation.

[19]  Philippe Martinet,et al.  Kinematic calibration of parallel mechanisms: a novel approach using legs observation , 2005, IEEE Transactions on Robotics.

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

[21]  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).

[22]  Liping Wang,et al.  Kinematical calibration of a hybrid machine tool with Regularization method , 2011 .

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

[24]  Hanqi Zhuang,et al.  Kinematic Modeling for Robot Calibration , 2018 .

[25]  Jorge Santolaria,et al.  An Overview of Kinematic and Calibration Models Using Internal/External Sensors or Constraints to Improve the Behavior of Spatial Parallel Mechanisms , 2010, Sensors.

[26]  Tao Sun,et al.  Geometric accuracy design and error compensation of a one-translational and three-rotational parallel mechanism with articulated traveling plate , 2018 .

[27]  Bhaskar Dasgupta,et al.  The Stewart platform manipulator: a review , 2000 .

[28]  Feng Gao,et al.  Calibration of a six-DOF parallel manipulator for chromosome dissection , 2012 .

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

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

[31]  H. Zhuang,et al.  Observability Issues in Kinematic Identification of Manipulators , 1992 .

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

[33]  Jigien Chen,et al.  Positioning error analysis for robot manipulators with all rotary joints , 1986, IEEE Journal on Robotics and Automation.