ISSN 0021-3454 (print version)
ISSN 2500-0381 (online version)
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5
Issue
vol 60 / MAY, 2017
Article
UDC 62.50

DESIGN OF STATIC REGULATOR FOR DISCRETE SYSTEMS WITH PERIODICALLY VARYING COEFFICIENTS

S. V. Bystrov
ITMO University, Saint Petersburg, 197101, Russian Federation; Associate professor


V. V. Grigoriev
ITMO University; Professor


O. K. Mansurova
North-West State Technical University;


Y. . Rabysh
ITMO University; Postgraduate


V. Y. Ryukhin
St. Petersburg State University of Information Technologies, Mechanics and Optics; Department of Control Systems and Informatics;


N. . Cherevko
ITMO University; Postgraduate


Abstract. Procedure of synthesis of static regulator is developed for linear discrete systems with periodically varying coefficients on the base of the local optimization method. The procedure is reduced to solution to a system of matrix algebraic equations of Riccati type, the number of equations corresponds to the number of discrete intervals in the period of the system parameters variations. Synthesis of a proportional regulator is carried out with use of the theoretical results.
Keywords: discrete system, periodic variation of parameters, proportional regulator, quality of processes, mathematical modeling.