A device for the positionally correct winding up of a metal strip, in particular a rolled hot strip, in a coiling device, with a driving device including driving rollers with a gap between said rollers, tiltable in relation to one another, feeding the hot strip to the coiling device, with actuators and a multi-variable controller for them, for changing the gap between the driving rollers and the resultant influencing of the lateral position of the hot strip, and with a measuring device for determining the position of the edge of the hot strip upstream of the driving device, the measured values of which are fed to the controller, wherein a measuring device for determining the surface geometry of the rolled strip is arranged in the region upstream of the driving device, the measured variable of which device is fed to the controller;
- wherein the setpoint strip edge position and the setpoint strip tension are fed to said controller;
- and
- an observer module linked to said controller, by which the actual strip tension between the driving rollers and the coiling device can be determined on a model-aided basis from measurable variables.