Home – Home – Jornals – Avtometriya 2022 number 4

A constructive technology for solving parametrizable problems of two-channel time-optimal boundary control of two physically inhomogeneous objects with distributed parameters described by linear heat conduction equations under conditions of a given accuracy of uniform approximating the resultant spatial distribution of the controlled variable to the desired state is proposed. The two objects are considered under conditions of perfect thermal contact of interacting surfaces. The developed technology uses a special method for describing the studied temperature fields in a form containing uniformly converging series. The developed approach is based on the parametrization procedure of the sought control actions and subsequent reduction to a special form of the task of semi-infinite optimization, which is solved by the scheme of the alternance method proposed earlier with an additional restriction on the same duration of the control process for two control actions.