Numerical Solution of a Zonal Feedback Control Problem for the Heating Process

Abstract

Abstract We consider a feedback control problem for an object with distributed parameters using continuous observation of the object’s phase state at its particular points, by the example of controlling the process of heating a tubular heat exchanger in a steam jacket. To solve the feedback control problem, we propose to use first order numerical methods. To this purpose we derive formulas for the components of the gradient of the objective functional in the space of optimized parameters. We have developed the corresponding software, on the basis of which numerous numerical experiments were carried out.