An intuitive force feed-back to avoid singularity proximity and workspace boundaries in bilateral controlled systems based on virtual springs

Kinematic and dynamic performance of robotic manipulators is poor when they are near singularities and workspace edges. This problem becomes more complex in teleoperated systems where there are two robots whose kinematics can be different. In these cases, neither should approach singularities or workspace boundaries. This work proposes a means of preventing the robots approaching places of risk. The algorithm computes a force proportional to the distance to singularity and/or workspace boundary. This force stops the robot moving towards that direction. It should be stressed that this strategy works in a very intuitive way in bilateral controlled systems, since the operator feels as if there are virtual springs which serve to prevent him entering forbidden regions. Finally, the algorithm has been tested successfully in a telerobotic system that consists of a Stewart platform and a 6-DOF open-chain manipulator.

[1]  Dale A. Lawrence Stability and transparency in bilateral teleoperation , 1993, IEEE Trans. Robotics Autom..

[2]  Angel Rubio,et al.  On the use of virtual springs to avoid singularities and workspace boundaries in force-feedback teleoperation , 2000, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065).

[3]  Shih-Liang Wang,et al.  A Study of the Singular Configurations of Serial Manipulators , 1987 .

[4]  Bruno Siciliano,et al.  Singularity-Robust Second-Order Kinematic Control of Robot Manipulators , 1996 .

[5]  K. H. Hunt,et al.  Kinematic geometry of mechanisms , 1978 .

[6]  Tsuneo Yoshikawa,et al.  Manipulability and redundancy control of robotic mechanisms , 1985, Proceedings. 1985 IEEE International Conference on Robotics and Automation.

[7]  Jean-Pierre Merlet Singular Configurations of Parallel Manipulators and Grassmann Geometry , 1989, Int. J. Robotics Res..

[8]  Jean-Pierre Merlet Trajectory Verification in the Workspace for Parallel Manipulators , 1994, Int. J. Robotics Res..

[9]  Septimiu E. Salcudean,et al.  Matrix normalization for optimal robot design , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[10]  Bhaskar Dasgupta,et al.  Singularity-free path planning for the Stewart platform manipulator , 1998 .

[11]  Joel W. Burdick,et al.  A recursive method for finding revolute-jointed manipulator singularities , 1992, Proceedings 1992 IEEE International Conference on Robotics and Automation.

[12]  Mike S. Shimamoto TeleOperator/telePresence System (TOPS) Concept Verification Model (CVM) development , 1993 .

[13]  R. G. Fenton,et al.  Identification and classification of the singular configurations of mechanisms , 1998 .

[14]  John J. Craig,et al.  Articulated hands: Force control and kinematic issues , 1981 .

[15]  Ignacy Duleba Channel algorithm of transversal passing through singularities for non-redundant robot manipulators , 2000, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065).

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