Optimal control of technological furnaces regimes

The author formulates the boundary value problem for the stationary modes of the tube furnaces with the use of the laws of energy conservation, mass and momentum. On the basis of this model the optimal control problem for the main control parameters is formulated. With the help of variational methods the author analyzed and obtained the necessary optimal conditions for the selected control functions. The obtained conjugate boundary value problem is similar in structure to the original boundary value problem. In this case, the Lagrange multipliers are given at the finite time, which provide for the particularities on the numerical implementation of the optimal control problem. The author proposes a numerical algorithm for solution of the optimization problem, which involves solution of two problems and antigradiently incline on the variational equations to the minimum. The problem of optimal control of technological regimes of the tube furnaces as objects with distributed parameters.