Abstract: A device for controlling the shape of the strip or sheet being rolled comprises at least two sets of rollers positioned in pairs on both sides of the strip or sheet across the width thereof and incorporating speed actuators for tensioning said strip of sheet, a reglator means for regulating the tension of the rolled strip or sheet, having its inputs electrically connected to the actuators from which output signals representative of a predetermined initial virtual tension of the strip or sheet being rolled are applied thereto, a means for setting a predetermined tensioning of the strip or sheet being rolled, said tension setting means being connected to the other input of the strip or sheet tension regulating means having its output electrically connected to the control inputs of the actuators, sensor means for sensing angular position of the rollers, and a comparator having its inputs connected to the outputs of the sensor means for sensing the angular position of the rollers and its output to other control i