Position Equations of a 3RPR Planar Manipulator
This work addresses a domain-specific problem in robotics, focusing on manipulator kinematics, and appears incremental as it builds on existing methods without claiming major breakthroughs.
The authors tackled the problem of describing the position of a 3RPR planar manipulator by deriving parametric equations based on loop-closure equations with rotations as parameters, but no concrete results or numbers are provided.
We study parametric equations, which describe the position of an in-parallel planar manipulator. We discuss isometries in the Gauss plane, then we write the loop-closure equations in terms of the rotations as the parameters.