We consider the problem of cooling milled steel profiles at a maximum rate subject to given bounds on the difference of temperatures in prescribed points of the steel profile. This leads to a nonlinear parabolic control problem with state constraints in a 2D domain. The controls can admit values from continuous or discrete sets. A method of instantaneous control is applied to establish a fast solution technique. Moreover, continuous and discrete control strategies are compared, and conclusions are given from an applicational point of view.
Der Vortrag basiert auf einer gemeinsamen Arbeit mit Fr. Tröltzsch, Chemnitz.