the Lighthill-Whitham-Richards
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Related Articles from SNS
A Continuification Approach to CAV Control in Mixed Traffic via Variable Speed Limits
arXiv:2606.09534v1 Announce Type: new Abstract: This paper presents a method for controlling traffic via the use of connected and automated vehicles (CAVs) acting as moving bottlenecks. Current methods for moving bottleneck control use a couple PDE-ODE model, based on the Lighthill-Whitham-Richard (LWR) model, to represent the influence of the CAV. Control of the CAV is normally achieved by designing the control on the ODE which models the speed of the moving bottleneck.
Optimal Finite-Horizon LQR Control for Traffic Flow via Variable Speed Limits
arXiv:2606.03632v1 Announce Type: cross Abstract: This article presents a finite-horizon linear quadratic regulator for the control of the first-order Lighthill-Whitham-Richards traffic model with a triangular fundamental diagram. The in-domain control action is realized through variable speed limits implemented as a source term in the governing hyperbolic partial differential equation.
Optimal Finite-Horizon LQR Control for Traffic Flow via Variable Speed Limits
Announce Type: replace-cross Abstract: This article presents a finite-horizon linear quadratic regulator for the control of the first-order Lighthill-Whitham-Richards traffic model with a triangular fundamental diagram. The in-domain control action is realized through variable speed limits implemented as a source term in the governing hyperbolic partial differential equation. Unlike prior studies on infinite-horizon formulations, this article develops a finite-horizon LQR framework, deriving...
Revisiting mesoscopic traffic flow simulation in SUMO: Limitations, analysis, and an alternative
arXiv:2606.09282v1 Announce Type: new Abstract: Mesoscopic traffic flow models combines the merits of both macroscopic and microscopic models by capturing individual vehicle behavior in great detail and remaining the computational efficiency. At the time of this study, the mesoscopic model proposed by Eissfeldt (2004) is used in Simulation of Urban MObility (SUMO). The movement of vehicles is governed by dynamic headways between edges.
Constrained Control of PDE Traffic Flow via Spatial Control Barrier Functions
Announce Type: replace Abstract: In this paper, a constrained control approach to variable speed limit (VSL) control for macroscopic partial differential equations (PDE) traffic models is developed. Control Lyapunov function (CLF) theory for ordinary differential equations (ODE) is extended to account for spatially and temporally varying states and control inputs. The stabilizing CLF is then unified with safety constraints through the introduction of spatially varying control barrier...