Two-channel time-optimal control of nonstationary heat conductive process with account for response time of boundary control actions | Zendy

Natalya A. Il’ina | Zendy

Open Access

Two-channel time-optimal control of nonstationary heat conductive process with account for response time of boundary control actions

Author(s) -

Natalya A. Il’ina

Publication year - 2021

Publication title -

vestnik of samara state technical university technical sciences series

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.

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