The Problem of the Optimal Strategy of Minimax Control by Objects with Distributed Parameters

Igor Korobiichuk , Oleksey Lobok , Boris Goncharenko , Natalya Savitskaya , Marina Sych , Larisa Vihrova

Abstract

The problem of minimax control synthesis for objects that are described by a two-dimensional heat conduction equation of parabolic type is solved. It is assumed that the control object functions under uncertainty conditions, and the perturbations acting on the object belong to some given hyperelipsoid. The problem of constructing a regulator in the state of an object for cases of point and mobile limit control is considered in accordance with the integral-quadratic quality criterion. In the work, for the first time, a minimax approach was used to control the objects described by the two-dimensional parabolic type thermal conductivity equation; the theoretical positions of synthesis of minimax regulators for cases of lumped boundary (point) and moving regulators are considered; algorithmic software is developed that allows to simulate the dynamics of the constructed minimax-regulators and to investigate the corresponding transients.
Author Igor Korobiichuk (FM / IACR)
Igor Korobiichuk,,
- The Institute of Automatic Control and Robotics
, Oleksey Lobok - National University of Food Technologies Kiev Ukraine
Oleksey Lobok,,
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, Boris Goncharenko - National University of Food Technologies Kiev Ukraine [National University of Food Technologies of Ukraine]
Boris Goncharenko,,
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, Natalya Savitskaya - National University of Food Technologies Kiev Ukraine
Natalya Savitskaya,,
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, Marina Sych - National University of Life and Environmental Sciences of Ukraine Kiev Ukraine [National University of Life and Environmental Sciences of Ukraine]
Marina Sych,,
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, Larisa Vihrova - Central Ukrainian National Technical University Kropyvnytskyi Ukraine [Central Ukrainian National Technical University]
Larisa Vihrova,,
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Pages77-85
Publication size in sheets0.5
Book Szewczyk Roman, Zieliński Cezary, Kaliczyńska Małgorzata (eds.): Automation 2019: Progress in Automation, Robotics and Measurement Techniques, Advances in Intelligent Systems and Computing, vol. 920, 2020, Springer, ISBN 978-3-030-13272-9, [978-3-030-13273-6], 727 p., DOI:10.1007/978-3-030-13273-6
Keywords in Englishminimax control, regulators, distributed parameter systems, optimization, gradient projection method, point and mobile limit controls
DOIDOI:10.1007/978-3-030-13273-6_8
URL https://link.springer.com/chapter/10.1007/978-3-030-13273-6_8
Languageen angielski
Score (nominal)20
Score sourcepublisherList
ScoreMinisterial score = 20.0, 10-01-2020, ChapterFromConference
Publication indicators Scopus Citations = 3
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