Abstract
We consider an optimal control problem for a non-isothermal tube drawing process. The goal is to control the circular cross-sectional area of the tube using the drawing speed as the control variable. To achieve this goal, a cost functional of tracking-type is defined, the first-order optimality condition is derived and the Hessian of the reduced cost functional is derived. Numerical simulations based on a steepest descent and a Newton-Conjugate-Gradient algorithm are presented.