Robotic Assembly Using a Singularity-Free Orientation Representation Based on Quaternions

New robotic applications often require physical interaction between the robot and its environment. To this purpose, external sensors might be needed, as well as a suitable way to specify the tasks. One complication that might cause problems in the task execution is orientation representation singularities. In this paper quaternions are used as a singularity-free orientation representation within the constraint-based task specification framework. The approach is experimentally verified in a force controlled assembly task. The task chosen contains a redundant degree of freedom that is exploited using the constraint-based task specification framework.

[1]  S. Chiaverini,et al.  Singularity-free regulation of underwater vehicle-manipulator systems , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[2]  Ian D. Walker,et al.  Task-space tracking control of robot manipulators via quaternion feedback , 2004, IEEE Transactions on Robotics and Automation.

[3]  Daniele Mortari,et al.  How to avoid singularity when using Euler angles , 2005 .

[4]  Weijun Zhang,et al.  A new robotic assembly modeling and trajectory planning method using synchronized Petri nets , 2005 .

[5]  Ville Kyrki Quaternion representation for similarity transformations in visual SLAM , 2008, 2008 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[6]  Tamio Arai,et al.  Increasing Efficiency of Force-Controlled Robotic Assembly , 2006 .

[7]  W. Hamilton ON A NEW SPECIES OF IMAGINARY QUANTITIES CONNECTED WITH A THEORY OF QUATERNIONS By William Rowan Hamilton , 1999 .

[8]  Bruno Siciliano,et al.  Quaternion-based kinematic control of redundant spacecraft/manipulator systems , 2001, Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164).

[9]  Joris De Schutter,et al.  Constraint-based Task Specification and Estimation for Sensor-Based Robot Systems in the Presence of Geometric Uncertainty , 2007, Int. J. Robotics Res..

[10]  Anders Robertsson,et al.  Force controlled assembly of emergency stop button , 2011, 2011 IEEE International Conference on Robotics and Automation.

[11]  Andrea Maria Zanchettin,et al.  General parameterization of holonomic kinematic inversion algorithms for redundant manipulators , 2010, 2010 IEEE International Conference on Robotics and Automation.

[12]  Christopher Geyer The Attitude Control Problem , 2022 .

[13]  Heping Chen,et al.  Toward robotizing powertrain assembly , 2008, 2008 7th World Congress on Intelligent Control and Automation.