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.
Mots clés
- Traffic modeling car-following models macroscopic PDEs continuation method Optimal Velocity model feedback control autonomous vehicles ring-road traffic
- Traffic modeling
- car-following models
- macroscopic PDEs
- continuation method
- Optimal Velocity model
- feedback control
- autonomous vehicles
- ring-road traffic
Domaines
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