TO THE QUESTION OF MODAL CONTROL FOR ONE THREE-DIMENSIONAL NEUTRAL TYPE SYSTEM IN GENERAL CYCLIC CASE WITH DOUBLE ROOTS

UDC 517.977

  • Yakimenka Andrei Aliaksandravich – PhD (Physics and Mathematics), Associate Professor, Assistant Professor, the Department of Higher Mathematics. Belarusian State Technological University (13a, Sverdlova str., 220006, Minsk, Republic of Belarus). E-mail: yakimenko@belstu.by

DOI: https://doi.org/10.52065/2520-6141-2021-248-2-5-10

Key words: neutral type systems, modal control, regulators, feedback control, lag.

For citation: Yakimenka A. A. To the question of modal control for one three-dimensional neutral type system in general cyclic case with double roots. Proceedings of BSTU, issue 3, Physics and Mathematics. Informatics, 2021, no. 2 (248), pp. 5–10. DOI: https://doi.org/10.52065/2520-6141-2021-248-2-5-10.

Abstract

The paper deals with the solution of the modal control problem for a three-dimensional stationary dynamic system with a delayed argument of a neutral type with one input and one state delay in general cyclic case with double roots of equation for founding regulators. The definition of the problem of modal control for the studied system is given. To solve this problem, linear feedback regulators are used that contain both linear and integral parts. These regulators use information about the current state of the system, as well as state vectors and their derivatives at previous times. Regulators are obtained in explicit form as elementary functions of the parameters of the original system and its state vector. The characteristic quasi-polynomial of the initial neutral type system closed by this regulator is given.

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References

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29.04.2021