A control device for controlling the movement of a machine determines a base position set value according to a given base track in space. By limitation of a base element of a machine therewith, the above is hence positionally moved along a base track. The control device further determines a corresponding current supplementary end position in space using the base position set value. The control device also determines a supplementary position set value from a given fixed supplementary start position in space and the current supplementary end position. By limitation of a supplementary element of the machine thereto, the above is thus displaced along an current supplementary track from the supplementary start position, to the current supplementary end position.