From microscopic driver models to macroscopic PDEs in ring road traffic dynamics

IF 2.6 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

European Journal of Control Pub Date : 2025-07-23 DOI:10.1016/j.ejcon.2025.101289

S. Fueyo, C. Canudas de Wit

引用次数: 0

Abstract

In this paper, using a continuation method (Nikitin and Canudas-de Wit, 2022), we provide a simple procedure to derive macroscopic models from second order ordinary differential equations modeling individual vehicles moving on a ring. In particular, the result is applied to classical traffic models such as the optimal velocity follow the leader (OV-FTL) models, the intelligent driver model (IDM) or delayed driver models and we are able to modelize the macroscopic behavior of the drivers through a 2 × 2 partial differential equations whose variables are the density of the traffic and the speed of the vehicles. The paper concludes with open questions regarding stability and microscopic control design.

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从微观驾驶员模型到环路交通动力学的宏观偏微分方程

在本文中，使用延拓方法（Nikitin和Canudas-de Wit， 2022），我们提供了一个简单的程序，从模拟在环上移动的单个车辆的二阶常微分方程中导出宏观模型。特别是，将结果应用于经典的交通模型，如最优速度跟随（OV-FTL）模型、智能驾驶员模型（IDM）或延迟驾驶员模型，我们能够通过以交通密度和车辆速度为变量的2 × 2偏微分方程来建模驾驶员的宏观行为。文章最后提出了稳定性和微观控制设计方面的开放性问题。

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

European Journal of Control 工程技术-自动化与控制系统

CiteScore

5.80

自引率

5.90%

发文量

131

审稿时长

1 months

期刊介绍： The European Control Association (EUCA) has among its objectives to promote the development of the discipline. Apart from the European Control Conferences, the European Journal of Control is the Association''s main channel for the dissemination of important contributions in the field. The aim of the Journal is to publish high quality papers on the theory and practice of control and systems engineering. The scope of the Journal will be wide and cover all aspects of the discipline including methodologies, techniques and applications. Research in control and systems engineering is necessary to develop new concepts and tools which enhance our understanding and improve our ability to design and implement high performance control systems. Submitted papers should stress the practical motivations and relevance of their results. The design and implementation of a successful control system requires the use of a range of techniques: Modelling Robustness Analysis Identification Optimization Control Law Design Numerical analysis Fault Detection, and so on.