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The Twist Decomposition of Serial Robots Under Lower-Mobility Tasks

2026/07/21 by Luc Baron, Damien Chablat
#cs.RO

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Abstract

This paper introduces a twist decomposition framework for serial manipulators performing lower mobility tasks. Rather than relying on Jacobian null-space projections, the method separates the end-effector twist into task and redundant components using geometrically defined twist projectors. This formulation provides a direct and intuitive distinction between task-relevant and task-irrelevant motions in operational space, enabling a compact inverse kinematics scheme that naturally handles both manipulator and task redundancy.

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