Technology of solving multi-objective problems of control of systems with distributed parameters

A constructive technology of multi-objective optimization of control of distributed parameter plants is proposed. The technology is based on a single-criterion version in the form of the minimax convolution of normalized performance criteria. The approach under development is based on the transition...

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Bibliographic Details
Published in:Optoelectronics, instrumentation, and data processing Vol. 53; no. 4; pp. 316 - 328
Main Authors: Rapoport, E. Ya, Pleshivtseva, Yu. E.
Format: Journal Article
Language:English
Published: New York Allerton Press 01.07.2017
Subjects:
Automation Systems in Scientific Research and Industry
Lasers
Optical Devices
Optics
Photonics
Physics
Physics and Astronomy
alternance method
optimal control
multi-objective optimization
semiinfinite optimization
systems with distributed parameters
ISSN:8756-6990, 1934-7944
Online Access:Get full text
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Summary:A constructive technology of multi-objective optimization of control of distributed parameter plants is proposed. The technology is based on a single-criterion version in the form of the minimax convolution of normalized performance criteria. The approach under development is based on the transition to an equivalent form of the variational problem with constraints, with the problem solution being a priori Pareto-effective. Further procedures of preliminary parameterization of control actions and subsequent reduction to a special problem of semi-infinite programming make it possible to find the sought extremals with the use of their Chebyshev properties and fundamental laws of the subject domain. An example of multi-objective optimization of operation modes of an engineering thermophysics object is presented, which is of independent interest.
ISSN:8756-6990
1934-7944
DOI:10.3103/S8756699017040021