On stochastic string stability with applications to platooning over additive noise channels

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

Automatica Pub Date : 2024-09-27 DOI:10.1016/j.automatica.2024.111923

Francisco J. Vargas , Marco A. Gordon , Andrés A. Peters , Alejandro I. Maass

引用次数: 0

Abstract

This paper addresses the string stabilization of vehicular platooning when stochastic phenomena are inherent in inter-vehicle communication. To achieve this, we first provide two definitions to analytically assess the string stability in stochastic scenarios, considering the mean and variance of tracking errors as the platoon size grows. Subsequently, we analytically derive necessary and sufficient conditions to achieve this notion of string stability in predecessor-following linear platoons that communicate through additive white noise channels. We conclude that the condition ensuring string stability with ideal communication is essentially the same that achieves stochastic string stability when additive noise channels are in place and guarantees that the tracking error means and variances converge.

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论随机弦稳定性及其在加性噪声信道上的排队应用

本文探讨了在车辆间通信存在固有随机现象的情况下，车辆排布的串稳定性问题。为此，我们首先提供了两个定义，以分析评估随机情况下的串稳定性，其中考虑了随着排的规模增长而产生的跟踪误差的均值和方差。随后，我们分析推导出在通过加性白噪声信道进行通信的前置跟随线性排中实现串稳定性这一概念的必要条件和充分条件。我们的结论是，在理想通信条件下，确保串稳定性的条件与在加性噪声信道条件下实现随机串稳定性的条件基本相同，并能保证跟踪误差的均值和方差收敛。

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.