Modeling and stabilization of time-delay switched systems with unstable subsystems based on bidirectional AC/DC converter

IF 4.2 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-08-09 DOI:10.1016/j.jfranklin.2025.107960

Zhi Liu , Guoxuan Huang , Ancai Zhang , Yang Liu , Yingxue Du

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引用次数: 0

Abstract

In this paper, the exponential stabilization problem of switched time delay systems with unstable subsystems and its application in bidirectional Alternating Current/Direct Current (AC/DC) converter are studied. Firstly, considering the time delay caused by data transmission and switching, the bidirectional AC/DC converter is modeled as the switched system with state and input time delay, and the subsystems in the model are allowed to be unstable. Secondly, the generalized model transformation method is used to transform the switched system with state and input delays into an equivalent system, and an appropriate parameter

γ

is referenced to limit the switching times of unstable subsystems, the stabilization scheme of the switched system is obtained. Finally, the effectiveness of the stabilization scheme is verified through comparative study and practical example.

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基于双向AC/DC变换器的不稳定子系统时滞切换系统建模与镇定

研究了具有不稳定子系统的切换时滞系统的指数镇定问题及其在双向交流/直流（AC/DC）变换器中的应用。首先，考虑数据传输和交换产生的时间延迟，将双向AC/DC变换器建模为具有状态和输入时间延迟的切换系统，并允许模型中的子系统不稳定；其次，采用广义模型变换方法将具有状态和输入时滞的切换系统转化为等效系统，并引用合适的参数γ限制不稳定子系统的切换次数，得到切换系统的镇定方案；最后，通过对比研究和实例验证了该稳定方案的有效性。

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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来源期刊

Journal of The Franklin Institute-engineering and Applied Mathematics 工程技术-工程：电子与电气

CiteScore

7.30

自引率

14.60%

发文量

586

审稿时长

6.9 months

期刊介绍： The Journal of The Franklin Institute has an established reputation for publishing high-quality papers in the field of engineering and applied mathematics. Its current focus is on control systems, complex networks and dynamic systems, signal processing and communications and their applications. All submitted papers are peer-reviewed. The Journal will publish original research papers and research review papers of substance. Papers and special focus issues are judged upon possible lasting value, which has been and continues to be the strength of the Journal of The Franklin Institute.