Time-Optimal Two-Channel Control of Interrelated Objects with Distributed Parameters

A constructive method is proposed for solving the problem of time-optimal two-channel boundary control of two physically inhomogeneous objects with distributed parameters described by linear heat conduction equations under conditions of a perfect thermal contact of interacting media with estimates o...

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Bibliographic Details
Published in:Optoelectronics, instrumentation, and data processing Vol. 58; no. 4; pp. 391 - 401
Main Authors: Rapoport, E. Ya, Ilina, N. A.
Format: Journal Article
Language:English
Published: Moscow Pleiades Publishing 01.08.2022
Subjects:
Lasers
Optical Devices
Optics
Photonics
Physics
Physics and Astronomy
alternance method
time-optimal multichannel control
estimation of target sets in a uniform metric
perfect thermal contact
interrelated systems with distributed parameters
ISSN:8756-6990, 1934-7944
Online Access:Get full text
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Summary:A constructive method is proposed for solving the problem of time-optimal two-channel boundary control of two physically inhomogeneous objects with distributed parameters described by linear heat conduction equations under conditions of a perfect thermal contact of interacting media with estimates of the target sets of controlled temperature fields in a uniform metric that are typical for engineering applications. The developed technique uses a special method for describing the studied temperature fields in a form containing uniformly converging series. The approach under development is based on the parameterization procedure for the desired control actions and the subsequent reduction to the problem of semi-infinite optimization, which is solved by the scheme of the alternance method under the additional restriction on the same duration of the control process for both control actions.
ISSN:8756-6990
1934-7944
DOI:10.3103/S8756699022040100