Pré-Publication, Document De Travail Année : 2026

A Continuation Framework for Traffic Flow Modeling and Control on Ring Roads

Résumé

A continuation-based method is proposed to systematically derive macroscopic partial differential equation (PDE) representations from first-and second-order microscopic multiagent traffic models on a ring. The framework establishes a consistent bridge between microscopic vehicle dynamics and macroscopic traffic flow descriptions, thereby enabling the design of feedback control laws at the macroscopic level that can be coherently implemented in the underlying microscopic system. When deployed, the feedback effectively renders all vehicles autonomous, allowing precise regulation of the traffic state. The methodology is illustrated using the Optimal Velocity (OV) and Optimal Velocity-Follow-the-Leader (OV-FTL) models, demonstrating its capability to steer the system toward prescribed density and/or velocity profiles.

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hal-05518999 , version 1 (19-02-2026)

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  • HAL Id : hal-05518999 , version 1

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Sébastien Fueyo, Carlos Canudas de Wit. A Continuation Framework for Traffic Flow Modeling and Control on Ring Roads. 2026. ⟨hal-05518999⟩
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