Optimal Control of the Silica Capillaries Drawing Process

In the work we propose a new approach to solving problems of optimal control of manufacture procedures for the silica optical fiber production. The main production problem is the geometric optimization of fiber shape in controlling the drawing velocity of the finished fiber. The problems of optimal control are presented as problems of controlling distributed systems with objective functionals and controls of different types. In this case, while using an analog to the method of Lagrange, the optimality systems in the form of differential problems in partial derivatives are obtained, as well as formulas for finding the optimal control functions in an explicit form. To acquire optimality systems the qualities of lower semicontinuity, convexity and objective functional coercivity are applied. The numerical solution of the optimality system was implemented using the finite element method in the Comsol Multiphysics modeling package.