5 papers
Real-Time In-Domain Congestion Control for the LWR Traffic Model via Control Barrier Functions
Zehang Zhu, Brian Block, Stephanie Stockar
This paper presents a control barrier function-based method for real-time in-domain congestion control of the Lighthill-Whitham-Richards traffic model. Traffic congestion is formul…
A Continuification Approach to CAV Control in Mixed Traffic via Variable Speed Limits
Brian Block, Cecilia Pasquale, Silvia Siri +2
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 cont…
Optimal Finite-Horizon LQR Control for Traffic Flow via Variable Speed Limits
Brian Block, Stephanie Stockar
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.…
Constrained Control of PDE Traffic Flow via Spatial Control Barrier Functions
Brian Block, Stephanie Stockar
In this paper, a constrained control approach to variable speed limit (VSL) control for macroscopic partial differential equations (PDE) traffic models is developed. Control Lyapun…
LQ Control of Traffic Flow Models via Variable Speed Limits
Brian Block, Stephanie Stockar
In this paper, an extension of a linear control design for hyperbolic linear partial differential equations is presented for a first-order traffic flow model. Starting from the Lig…