Control method for a rolling mill train, - wherein for strip sections of a strip upstream of a first roll stand of the rolling mill train a temperature of the strip sections is determined, - wherein the temperatures (T') of the strip sections for the time of rolling of the respective strip section in the first roll stand are predicted by means of a strip model on the basis of the temperatures determined, - wherein at least one respective control parameter for rolling of the strip sections in the first roll stand is determined using the predicted temperatures (T') of the strip sections, - wherein an adjusting device acting on the first roll stand is controlled during rolling of the respective strip section taking the respective control parameter determined into account, characterised in that - the temperatures (T') of the strip sections are predicted using a first prediction horizon, by means of the strip model, for the time of the rolling of the respective strip section in the first roll stand, - the first prediction horizon corresponds to a plurality of strip sections that are to be rolled in the first roll stand, - a manipulated variable characteristic (S(t)) for the adjusting device is set for the first prediction horizon, - a profile of a roll gap which is formed by work rolls of the first roll stand is influenced by means of the manipulated variable characteristic, - a respective roll gap profile, which is formed by the work rolls of the first roll stand at the time when the respective strip section is rolled, is predicted for the first roll stand by means of a roll stand model using the predicted temperatures (T') of the strip sections and the set manipulated variable characteristic (S(t)) for the strip sections corresponding to the first prediction horizon, - the set manipulated variable characteristic (S(t)) is optimised on the basis of the roll gap profile that has been predicted for the strip sections and a respective setpoint profile (W* (t)), and - the current value of the optimised manipulated variable characteristic (S(t)) corresponds to the control parameter and is specified to the adjusting device as a manipulated variable. - wherein for strip sections of a strip upstream of a first roll stand of the rolling mill train a temperature of the strip sections is determined, - wherein the temperatures (T') of the strip sections for the time of rolling of the respective strip section in the first roll stand are predicted by means of a strip model on the basis of the temperatures determined, - wherein at least one respective control parameter for rolling of the strip sections in the first roll stand is determined using the predicted temperatures (T') of the strip sections, - wherein an adjusting device acting on the first roll stand is controlled during rolling of the respective strip section taking the respective control parameter determined into account, - the temperatures (T') of the strip sections are predicted using a first prediction horizon, by means of the strip model, for the time of the rolling of the respective strip section in the first roll stand, - the first prediction horizon corresponds to a plurality of strip sections that are to be rolled in the first roll stand, - a manipulated variable characteristic (S(t)) for the adjusting device is set for the first prediction horizon, - a profile of a roll gap which is formed by work rolls of the first roll stand is influenced by means of the manipulated variable characteristic, - a respective roll gap profile, which is formed by the work rolls of the first roll stand at the time when the respective strip section is rolled, is predicted for the first roll stand by means of a roll stand model using the predicted temperatures (T') of the strip sections and the set manipulated variable characteristic (S(t)) for the strip sections corresponding to the first prediction horizon, - the set manipulated variable characteristic (S(t)) is optimised on the basis of the roll gap profile that has been predicted for the strip sections and a respective setpoint profile (W* (t)), and - the current value of the optimised manipulated variable characteristic (S(t)) corresponds to the control parameter and is specified to the adjusting device as a manipulated variable.