This article is cited in 4 papers

MATHEMATICS

Digital stabilization of a switchable linear system with commensurate delays

A. V. Il'in^abc, A. S. Fursov<sup>ab

a</sup> Hangzhou Dianzi University, Hangzhou, RPC
^b Lomonosov Moscow State University, Moscow Center for Fundamental and Applied Mathematics, Moscow, Russian Federation
^c Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow, Russia

Abstract: An approach to the construction of a digital controller that stabilizes a non-continuous switchable linear system with commensurate delays in control is proposed. The approach to stabilization sequentially includes the construction of a switchable continuously discrete closed system with a digital controller, the transition to its discrete model, represented as a switchable system with modes of various orders and the construction of a discrete dynamic controller based on the quadratic stability condition of a closed switchable discrete system.

Keywords: discrete systems, switchable systems, digital controller, stabilization of discrete systems.

UDC: 517.926

Received: 08.07.2023
Revised: 27.10.2023
Accepted: 05.11.2023

DOI: 10.31857/S268695432360163X

 English version: Doklady Mathematics, 2023, 108:3, 493–498

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