Mean-square input-output stability and asymptotic stationarity of networked control systems with random transmission delays

IF 4.8 2区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS

Automatica Pub Date : 2025-05-03 DOI:10.1016/j.automatica.2025.112339

Jieying Lu , Junhui Li , Weizhou Su

引用次数: 0

Abstract

This work delves into the mean-square stability and stabilization via output feedback of networked control systems over communication channels with random data transmission delays and packet dropouts. The transmission delays and packet losses are characterized by independent and identically distributed (i.i.d.) processes with given probability mass functions (PMFs). A necessary and sufficient condition of mean-square (input–output) stability is established for the networked control systems. Utilizing this mean-square input–output stability criterion, we develop a new design approach for the mean-square stabilization via output feedback. Additionally, in scenario where the external input of the networked system is an i.i.d. process, we study the asymptotic stationarity of the control signal. To illustrate and verify the results presented in this work, a numerical example is provided.

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具有随机传输延迟的网络控制系统的均方输入输出稳定性和渐近平稳性

本文研究了网络控制系统在具有随机数据传输延迟和丢包的通信信道上的均方稳定性和通过输出反馈实现的稳定性。传输延迟和丢包被描述为具有给定概率质量函数的独立同分布过程。建立了网络控制系统均方（输入输出）稳定的充分必要条件。利用这一均方输入输出稳定准则，我们开发了一种通过输出反馈实现均方稳定的新设计方法。此外，在网络系统的外部输入是一个i.i.d过程的情况下，我们研究了控制信号的渐近平稳性。为了说明和验证所提出的工作结果，提供了一个数值例子。

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

Automatica 工程技术-工程：电子与电气

CiteScore

10.70

自引率

7.80%

发文量

617

审稿时长

5 months

期刊介绍： Automatica is a leading archival publication in the field of systems and control. The field encompasses today a broad set of areas and topics, and is thriving not only within itself but also in terms of its impact on other fields, such as communications, computers, biology, energy and economics. Since its inception in 1963, Automatica has kept abreast with the evolution of the field over the years, and has emerged as a leading publication driving the trends in the field. After being founded in 1963, Automatica became a journal of the International Federation of Automatic Control (IFAC) in 1969. It features a characteristic blend of theoretical and applied papers of archival, lasting value, reporting cutting edge research results by authors across the globe. It features articles in distinct categories, including regular, brief and survey papers, technical communiqués, correspondence items, as well as reviews on published books of interest to the readership. It occasionally publishes special issues on emerging new topics or established mature topics of interest to a broad audience. Automatica solicits original high-quality contributions in all the categories listed above, and in all areas of systems and control interpreted in a broad sense and evolving constantly. They may be submitted directly to a subject editor or to the Editor-in-Chief if not sure about the subject area. Editorial procedures in place assure careful, fair, and prompt handling of all submitted articles. Accepted papers appear in the journal in the shortest time feasible given production time constraints.