An installation includes a machine (2) for packaging products (8) and of a robotic palleting station, both arranged in a same enclosure (1) that is provided with a door (7) that offers access to the palleting station. The installation includes a device which limits the range of movement of the robot (15) in the closed enclosure (1) in order to concentrate the displacements of its gripping head (17) in a restricted space which does not overlap with a safety space, which is defined according to a minimum distance measured from the immaterial barrier located in the enclosure in the vicinity of the door (7). The limiting device includes an electric cam that limits, under the control of the steering control of the robot, the amplitude of the movement of the robot (15) around its main axis and reduces its movement speed.