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JOURNALS // Vestnik of Astrakhan State Technical University. Series: Management, Computer Sciences and Informatics // Archive

Vestn. Astrakhan State Technical Univ. Ser. Management, Computer Sciences and Informatics, 2019 Number 3, Pages 123–132 (Mi vagtu594)

MATHEMATICAL MODELING

Suboptimal control over linear non-stationary plant with delay

E. R. Galiauv, E. V. Frangulova

Astrakhan State Technical University, Astrakhan, Russian Federation

Abstract: The article focuses on the fact that the problem of suboptimal control over parametrically and functionally undefined linear non-stationary plant has been solved. It is supposed that only scalar input and output of plant are determinable. The purpose of control consists in subminimization of the integral with an infinite top limit from square-law sub-integral function dependent on a scalar input of the plant and a control signal. The algorithm received is simple and does not require difficult analytical accounts of parameters of a control system. The serviceability of the received algorithms is illustrated on numerical examples.

Keywords: robust control, suboptimal control, external disturbance, unspecified non-stationary linear plant, integrated criterion of quality, observer, Lyapunov function.

UDC: 519.7

Received: 15.05.2019

DOI: 10.24143/2072-9502-2019-3-123-132



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