Fuzzy optimization of feedback control at induction heating
The problem of multi-criteria fuzzy-optimal feedback control of an induction heater as an object of technological thermophysics with distributed parameters is considered. A general formulation of the fuzzy optimization problem is given, including requirements for the final and intermediate states and taking into account the fuzziness of competing quality criteria. When solving the problem, interconnected electromagnetic and thermal models of the induction heating process were used. The secondary source method was used to simulate electromagnetic processes, and the differential-difference method was used to simulate thermal conductivity. The numerical method for solving the problem is based on the presentation of the control algorithm in the form of an a priori non-fixed and variable system of rules determined during the heating process. The obtained results of numerical modeling confirm the effectiveness of the proposed fuzzy-optimal method for determining the positional control of objects with distributed parameters.