A new method of applying differential kinematics through dual quaternions

作者:de Oliveira Andre Schneider*; De Pieri Edson Roberto; Moreno Ubirajara Franco
来源:Robotica, 2017, 35(4): 907-921.
DOI:10.1017/S0263574715000880

摘要

Differential kinematics is a traditional approach to linearize the mapping between the workspace and joint space. However, a Jacobian matrix cannot be inverted directly in redundant systems or in configurations where kinematic singularities occur. This work presents a novel approach to the solution of differential kinematics through the use of dual quaternions. The main advantage of this approach is to reduce "drift" error in differential kinematics and to ignore the kinematic singularities. An analytical dual- quaternionic Jacobian is defined, which allows for the application of this approach in any robotic system.

  • 出版日期2017-4