The invention relates to a method for controlling or regulating the
temperature of a metal strip in a cooling path of a hot rolling system. A
desired temperature gradient is compared to an actual temperature
gradient in order to determine adjusting signals for the cooling path. At
least one target function is formed for actuators of the cooling strip,
taking into account auxiliary conditions, and said target function is
solved as a quadratic optimization problem for the purpose of model
predictive regulation. The invention also relates to an overlapping
regulation for the finishing train and the cooling path of the hot
rolling system.