Abstract:
We discuss the dynamics of balanced body of spherical shape on a rough plane, managed by
the movement of the built-in shell. These two shells are set in relative motion due to rotation
of the two symmetrical omni-wheels. It is shown that the ball can be moved to any point on
the plane along a straight or (in the case of the initial degeneration) polygonal line. Moreover,
any prescribed curvilinear trajectory of the ball center can be followed by appropriate control
strategy as far as the diameter, connecting both wheels, is non-vertical.
Keywords:robot-ball, omni-wheel, control of motion.