Self-Calibration of Redundantly Actuated PKM Based on Motion Reversal Points

In this paper a novel self-calibration method for redundantly actuated parallel manipulators (RA-PKM) is proposed. It does not require external measurements or encoders in passive joints but only uses actuator joint measurements. The method uses motion reversal points (MRP) as calibration landmarks. MRP are characterized by vanishing velocity of one actuator while the RA-PKM performs a continuous motion. In other word the MRP are the input-singularities of an associated non-redundantly actuated PKM. The general calibration concept is introduced in the paper and applied to a planar 4RPR RA-PKM. Numerical simulation results are presented that confirm the feasibility of this method. The selection of appropriate MRP is briefly discussed.

[1]  Clément Gosselin,et al.  Singularity analysis of closed-loop kinematic chains , 1990, IEEE Trans. Robotics Autom..

[2]  Jürgen Hesselbach,et al.  Self-calibration of the HEXA-parallel-structure , 2005, IEEE International Conference on Automation Science and Engineering, 2005..

[3]  Shuang Cong,et al.  Kinematic Parameters Auto-Calibration of Redundant Planar 2-DOF Parallel Manipulator , 2008 .

[4]  Gaël Écorchard,et al.  Elasto-geometrical modeling and calibration of redundantly actuated PKMs , 2010 .

[5]  Abdul Rauf,et al.  Experimental results on kinematic calibration of parallel manipulators using a partial pose measurement device , 2006, IEEE Transactions on Robotics.

[6]  Shuang Cong,et al.  Modeling, Identification and Control of a Redundant Planar 2-DOF Parallel Manipulator , 2007 .

[7]  Juan A. Carretero,et al.  SELF CALIBRATION OF 3-PRS MANIPULATOR WITHOUT REDUNDANT SENSORS , 2007 .

[8]  Juergen Hesselbach,et al.  Passive-joint sensors for parallel robots , 2005 .

[9]  Aleksandar Lazinica,et al.  Robot Manipulators New Achievements , 2010 .

[10]  Jee-Hwan Ryu Parallel Manipulators, New Developments , 2008 .

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

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

[13]  Tatsuo Arai,et al.  An implicit loop method for kinematic calibration and its application to closed-chain mechanisms , 1995, IEEE Trans. Robotics Autom..

[14]  A. Rauf,et al.  A new method for fully autonomous calibration of parallel manipulators using a constraint link , 2001, 2001 IEEE/ASME International Conference on Advanced Intelligent Mechatronics. Proceedings (Cat. No.01TH8556).

[15]  Y. K. Yiu,et al.  Auto-calibration for a parallel manipulator with sensor redundancy , 2003, 2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422).

[16]  Abdul Rauf,et al.  Complete parameter identification of parallel manipulators with partial pose information using a new measurement device , 2004, Robotica.

[17]  John M. Hollerbach,et al.  Autonomous calibration of single-loop closed kinematic chains formed by manipulators with passive endpoint constraints , 1991, IEEE Trans. Robotics Autom..

[18]  John M. Hollerbach,et al.  The Calibration Index and Taxonomy for Robot Kinematic Calibration Methods , 1996, Int. J. Robotics Res..

[19]  K. H. Kim,et al.  A calibration method of redundantly actuated parallel mechanism machines based on projection technique , 2010 .

[20]  Vincent Hayward,et al.  Calibration of a parallel robot using multiple kinematic closed loops , 1994, Proceedings of the 1994 IEEE International Conference on Robotics and Automation.

[21]  Annika Raatz,et al.  Singularity Based Calibration of 3-DOF Fully Parallel Planar Manipulators , 2007 .