Abstract

The Delta robot is one of the most popular parallel robots in industrial use today. In this paper we analyse the forward and inverse kinematics of the robot from a geometric perspective using Conformal Geometric Algebra. We calculate explicit formulae for all joints in both the forward and inverse kinematic problems as well as explicit forward and inverse Jacobians to allow for velocity and force control. Finally we verify the kinematics in Python and simulate a physical model in the Unity3D game engine to act as a test-bed for future development of control algorithms.

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