Energy-Saving Control in Distributed Parameter Systems with Uniform Estimates of Target Sets

We propose a method for synthesizing energy-optimal controllers in open and closed domains of space-time control actions for linear multidimensional objects with distributed parabolic parameters under the conditions of a given accuracy of uniform approximation of the final state of the system to the...

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Bibliographic Details
Published inOptoelectronics, instrumentation, and data processing Vol. 59; no. 4; pp. 436 - 445
Main Authors Rapoport, E. Ya, Pleshivtseva, Yu. E., Levin, I. S.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.08.2023
Subjects
Control and Informational-Measuring Systems
Lasers
Optical Devices
Optics
Photonics
Physics
Physics and Astronomy
alternance method
energy consumption minimization
distributed parameter systems
optimal control synthesis
program control
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Summary:We propose a method for synthesizing energy-optimal controllers in open and closed domains of space-time control actions for linear multidimensional objects with distributed parabolic parameters under the conditions of a given accuracy of uniform approximation of the final state of the system to the desired spatial distribution of the controlled variable. The approach is based on the previously developed alternance method for constructing parameterizable algorithms of optimal program control, which uses the fundamental laws of the subject area. It is shown that the desired equations of the controllers are reduced to linear feedback laws with restrictions on incomplete observation of the state of the object with nonstationary transmission coefficients, which are determined by preliminary calculation of the program control action.
ISSN:8756-6990
1934-7944
DOI:10.3103/S8756699023040088