Algorithmically Precise Method of Parametric Optimization in Boundary-Value Optimal Control Problems for Distributed-Parameter Systems
E. Y. Rapoport, Y. E. Pleshivtseva
Keywords: optimal control, maximum principle, parametrization of control actions, conjugate variables, target set, semi-infinite optimization, alternance method, induction heating
Pages: 103-112
Abstract
A precise method based on a special procedure of successive parametrization of control actions is proposed to solve boundary-value optimal control problems for distributed-parameter systems with the tolerances for deviations from the required final state of the controlled object specified in the uniform metric. The method is used to solve the time optimal control problem for an innovative technology of induction heating of massive bodies rotating in a direct current magnetic field.
|
