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Optimal driving strategies for traffic control with autonomous vehicles

T. Liard, Raphael Stern, Maria Laura Delle Monache. Optimal driving strategies for traffic control with autonomous vehicles. (2019)

Abstract. This article considers the possibility of using a small number of autonomous vehicles ($AV$) for traffic control of the predominantly human-piloted traffic. Specifically, we consider the control of the AV to act as a moving bottleneck, which will be used to optimize traffic flow properties such as fuel consumption of the combined human-piloted and autonomous traffic flow. We use a coupled partial differential equation (PDE)-ordinary differential equation (ODE) framework to model the bulk traffic flow using a PDE, and the trajectory of an autonomous vehicle in the ow using an ODE, depending on the downstream traffic density. The autonomous vehicle acts on the traffic flow as a moving bottleneck via a moving flux constraint. Using this modeling framework, we consider an optimal control problem which consists in finding the optimal AV trajectory to minimize fuel consumption of the entire traffic flow. We prove existence of optimal AV trajectories and we present two different optimal driving strategies depending on the initial traffic conditions.

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Last updated on March 17, 2022

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Last Publications

Control of reaction-diffusion models in biology and social sciences

The turnpike property and the longtime behavior of the Hamilton-Jacobi-Bellman equation for finite-dimensional LQ control problems

Optimal actuator design via Brunovsky’s normal form

Turnpike in Optimal Control PDES, ResNets, and beyond

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  • Control of reaction-diffusion models in biology and social sciences
  • DeustoCCMSeminar: Null controllability of a nonlinear age, space and two-sex structured population dynamics model
  • Optimal actuator design via Brunovsky’s normal form
  • Turnpike in Optimal Control PDES, ResNets, and beyond
  • Local Stability and Convergence of Unconstrained Model Predictive Control
  • Control of reaction-diffusion models in biology and social sciences
  • DeustoCCMSeminar: Null controllability of a nonlinear age, space and two-sex structured population dynamics model
  • Optimal actuator design via Brunovsky’s normal form
  • Turnpike in Optimal Control PDES, ResNets, and beyond
  • Local Stability and Convergence of Unconstrained Model Predictive Control
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