Optimization Of Rolling Schedule Assuring Desired Final Grain Size Using Control Theory Available to Purchase

A method of optimal control of the thermomechanical parameters during hot strip rolling processes, based on the modern optimal control theory, is presented in the paper. Optimal parameters are defined from the desired final grain size. The austenite grain size is the criterion of optimization. A state‐space model with physical constraints is described. The model is based on the models of rolling process, recrystallization and grain growth, developed for 304L steel. The optimal discrete trajectories for such control parameters as the initial temperature, reductions and interpass time, are to be found. The rolling constrains are applied to the control trajectories (reduction, interpass time) and to state‐space trajectories (temperature, rolling force and moment). The results of calculations allow for the design of the optimal rolling schedule.