慢速切换下具有相应延迟的切换系统的稳定问题

IF 0.8 4区数学 Q2 MATHEMATICS Differential Equations Pub Date : 2024-07-30 DOI:10.1134/s0012266124040104

A. V. Il’in, A. S. Fursov

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引用次数: 0

摘要

摘要本文提出了一种构建数字控制器的方法，这种控制器可以稳定连续时间开关线性系统，并在慢开关条件下控制相应的延迟。该稳定方法始终包括构建一个具有数字控制器的开关连续-离散-时间闭环系统，过渡到其离散-时间模型（以具有不同阶模式的开关系统的形式表示），同时稳定所产生的离散-时间模型的子系统，并计算延迟时间，以确保所发现的控制器所关闭的原始开关系统的稳定性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Stabilization of a Switched System with Commensurate Delays under Slow Switchings

Abstract

An approach is proposed to constructing a digital controller that stabilizes a continuous-time switched linear system with commensurate delays in control under slow switchings. The approach to stabilization consistently includes the construction of a switched continuous–discrete-time closed-loop system with a digital controller, the transition to its discrete-time model, represented in the form of a switched system with modes of different orders, simultaneous stabilization of the subsystems of the resulting discrete-time model, and calculation of a delay time that ensures the stability of the original switched system closed by the controller found.

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来源期刊

Differential Equations 数学-数学

CiteScore

1.30

自引率

33.30%

发文量

审稿时长

3-8 weeks

期刊介绍： Differential Equations is a journal devoted to differential equations and the associated integral equations. The journal publishes original articles by authors from all countries and accepts manuscripts in English and Russian. The topics of the journal cover ordinary differential equations, partial differential equations, spectral theory of differential operators, integral and integral–differential equations, difference equations and their applications in control theory, mathematical modeling, shell theory, informatics, and oscillation theory. The journal is published in collaboration with the Department of Mathematics and the Division of Nanotechnologies and Information Technologies of the Russian Academy of Sciences and the Institute of Mathematics of the National Academy of Sciences of Belarus.