慢速切换下具有相应延迟的切换系统的稳定问题

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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