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A new approach to singularity-free inverse kinematics using dual-quaternionic error chains in the Davies method

Published online by Cambridge University Press:  24 July 2014

Andre Schneider de Oliveira ,
Edson Roberto De Pieri ,
Ubirajara Franco Moreno  and
Daniel Martins
Andre Schneider de Oliveira*
Affiliation:
Department of Informatics, Federal University of Technology - Parana, Curitiba, PR, Brazil
Edson Roberto De Pieri
Affiliation:
Department of Automation and Systems, Federal University of Santa Catarina, Florianopolis, SC, Brazil E-mails: edson@das.ufsc.br, moreno@das.ufsc.br
Ubirajara Franco Moreno
Affiliation:
Department of Automation and Systems, Federal University of Santa Catarina, Florianopolis, SC, Brazil E-mails: edson@das.ufsc.br, moreno@das.ufsc.br
Daniel Martins
Affiliation:
Department of Mechanical Engineering, Federal University of Santa Catarina, Florianopolis, SC, Brazil E-mail: daniel@emc.ufsc.br
*
*Corresponding author. E-mail: andreoliveira@utfpr.edu.br
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Summary

The manipulation in singular regions promotes an instantaneous reduction in mechanism mobility, which can result in some disturbances in the trajectory tracking. The application of the quaternionic elements for motion representation not only guarantees an orthonormal transformation but also results in the smallest variance and minimizes the acceleration peaks. The use of a unit quaternion avoids these phenomena, but there are dimensional limitations that make it impossible to translate the representation. This work presents a methodology for using dual quaternions in the analysis of robot kinematics using the Davies method, which avoids kinematic singularities and ensures the optimal torque profiles.

Keywords

Mechanism mobilityKinematic singularitiesDavies methodDual quaternionsOptimal torque profiles
Type
Articles
Information
Robotica , Volume 34 , Issue 4 , April 2016 , pp. 942 - 956
Copyright
Copyright © Cambridge University Press 2014 

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