Method of controlling inking units in case of printing speed changes

A method controls a printing speed and a temperature of a printing press to attain a predetermined actuating variable. The printing press includes a control computer. The method is characterized by calculating a target temperature to attain the predetermined actuating variable at a desired printing speed and initiating the adjustment operations to attain the target temperature by the control computer. The actual printing speed is changed via a first acceleration within a tolerance limit with respect to fluctuations about the predetermined actuating variable. The first acceleration process is stopped if the desired printing speed is attained in the process. The first acceleration is changed if the tolerance limits are reached and the desired printing speed has not been attained yet. The printing speed is ran at a modified second acceleration along the tolerance limits until the desired printing speed is attained.