Open AccessTwo-channel time-optimal control of nonstationary heat conductive process with account for response time of boundary control actions
Author(s) -
Natalya A. Ilina,
Ильина Наталья Андреевна,
E. Ya. Rapoport,
Рапопорт Эдгар Яковлевич
Publication year - 2021
Publication title -
vestnik samarskogo gosudarstvennogo tehničeskogo universiteta. seriâ: tehničeskie nauki/vestnik samarskogo gosudarstvennogo tehničeskogo universiteta. seriâ, tehničeskie nauki
Language(s) - English
Resource type - Journals
eISSN - 2712-8938
pISSN - 1991-8542
DOI - 10.14498/tech.2021.2.3
Subject(s) - control theory (sociology) , constant (computer programming) , optimal control , time constant , process (computing) , boundary (topology) , power (physics) , inductor , channel (broadcasting) , control (management) , object (grammar) , field (mathematics) , electromagnetic field , computer science , mathematics , engineering , mathematical optimization , mathematical analysis , physics , voltage , electrical engineering , computer network , quantum mechanics , artificial intelligence , pure mathematics , programming language , operating system
The task of organization a closed time-optimal control system of linear object with distributed parameters of parabolic type is considered. The object has two lumped internal controls for the power of heat sources excited in the electromagnetic field of an inductor. The proposed method for the synthesis of optimal controllers uses an alternance method for calculating the optimal program controls for each of the control actions. An example of the construction of a quasi-optimal time control system for the process of periodic induction heating of a metal workpiece with constant values of the feedback coefficients calculated for the most characteristic initial spatial distribution is given.