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We develop a hierarchical description of traffic flow control by means of driver-assist vehicles aimed at the mitigation of speed-dependent road risk factors. Microscopic feedback control strategies are designed at the level of…

Physics and Society · Physics 2019-05-13 Andrea Tosin , Mattia Zanella

Traffic flow modeling spans a wide range of mathematical approaches, from microscopic descriptions of individual vehicle dynamics to macroscopic models based on aggregate quantities. A fundamental challenge in macroscopic modeling lies in…

Optimization and Control · Mathematics 2025-12-18 Stephan Gerster , Giuseppe Visconti

This paper presents the state of the art of Adaptive Cruise Control (ACC) and Stop and Go systems as well as Intelligent Transportation Systems enhanced with inter vehicle communication. The sensors used in these systems and the level of…

Robotics · Computer Science 2022-04-18 Emre Kural , Tahsin Hacibekir , Bilin Aksun-Guvenc

We propose and analyse a new microscopic second order Follow-the-Leader type scheme to describe traffic flows. The main novelty of this model consists in multiplying the second order term by a nonlinear function of the global density, with…

Analysis of PDEs · Mathematics 2025-03-04 Dario Mazzoleni , Emanuela Radici , Filippo Riva

Traffic waves are phenomena that emerge when the vehicular density exceeds a critical threshold. Considering the presence of increasingly automated vehicles in the traffic stream, a number of research activities have focused on the…

In this paper, we present the first experimental results of data-driven predictive control for connected and autonomous vehicles (CAVs) in dissipating traffic waves. In particular, we consider a recent strategy of Data-EnablEd Predicted…

Systems and Control · Electrical Eng. & Systems 2022-11-24 Jiawei Wang , Yang Zheng , Jianghong Dong , Chaoyi Chen , Mengchi Cai , Keqiang Li , Qing Xu

This paper presented a deep reinforcement learning method named Double Deep Q-networks to design an end-to-end vision-based adaptive cruise control (ACC) system. A simulation environment of a highway scene was set up in Unity, which is a…

Computer Vision and Pattern Recognition · Computer Science 2020-01-28 Zhensong Wei , Yu Jiang , Xishun Liao , Xuewei Qi , Ziran Wang , Guoyuan Wu , Peng Hao , Matthew Barth

Evidence in the literature shows that automated and human driving modes demonstrate different driving characteristics, i.e., headway policy, spacing policy, reaction time, comfortable acceleration, and others. These differences alter…

Systems and Control · Electrical Eng. & Systems 2023-06-13 Theocharis Apostolakis , Michail A. Makridis , Anastasios Kouvelas , Konstantinos Ampountolas

In this paper, we propose a control design methodology for a linearized continuum traffic model in the congested regime. The continuum traffic flow on a highway is modeled using a linearized quasilinear hyperbolic partial differential…

Optimization and Control · Mathematics 2019-11-11 Stephen Chen , Huan Yu , Miroslav Krstic

Nonlinear hyperbolic partial differential equations govern continuum traffic flow models. Higher-order traffic flow models consisting of continuum equations and velocity dynamics were introduced to address the limitations of the Lighthill,…

Analysis of PDEs · Mathematics 2024-07-10 Nandan Maiti , Bhargava Rama Chilukuri

This paper develops boundary feedback controls to stabilize traffic congestion toward a predefined shock equilibrium in the Aw-Rascle-Zhang (ARZ) traffic flow model. We transform the corresponding moving-boundary $2\times2$ hyperbolic…

Optimization and Control · Mathematics 2026-04-03 Mina Cao , Mamadou Diagne , Peipei Shang , Lei Yu

Cooperative Adaptive Cruise Control (CACC) systems are considered as key potential enablers to improve driving safety and traffic efficiency. They allow for automated vehicle following using wireless communication in addition to onboard…

Systems and Control · Electrical Eng. & Systems 2022-05-17 Kay Massow , Ilja Radusch , Robert Shorten

The advancement of vehicle automation and the growing adoption of electric vehicles (EVs) are reshaping transportation systems. While fully automated vehicles are expected to improve traffic stability, efficiency, and sustainability, recent…

Emerging Technologies · Computer Science 2026-01-27 Gabriel Geffen , Jun Zhao , Mingfeng Shang , Shian Wang , Yao-Jan Wu

A modular fluid-flow model for network congestion analysis and control is proposed. The model is derived from an information conservation law stating that the information is either in transit, lost or received. Mathematical models of…

Networking and Internet Architecture · Computer Science 2012-08-07 Corentin Briat , Emre Altug Yavuz , Gunnar Karlsson

Adaptive cruise control (ACC) vehicles are the first step toward comprehensive vehicle automation. However, the impacts of such vehicles on the underlying traffic flow are not yet clear. Therefore, it is of interest to accurately model…

Systems and Control · Electrical Eng. & Systems 2020-10-08 Felipe de Souza , Raphael Stern

Most autonomous-vehicles (AVs) driving strategies are designed and analyzed at the vehicle level, yet their aggregate impact on macroscopic traffic flow is still not understood, particularly the flow heterogeneity that emerges when AVs…

Systems and Control · Electrical Eng. & Systems 2025-08-14 Chenguang Zhao , Huan Yu

Many robotic systems are underactuated, meaning not all degrees of freedom can be directly controlled due to lack of actuators, input constraints, or state-dependent actuation. This property, compounded by modeling uncertainties and…

Systems and Control · Electrical Eng. & Systems 2025-10-10 Daniel M. Cherenson , Dimitra Panagou

Modeling transition-continuum hypersonic flows poses significant challenges due to thermodynamic nonequilibrium and the associated breakdown of the continuum assumption. Standard continuum models such as the Navier-Stokes equations are…

Fluid Dynamics · Physics 2025-06-18 Mikolaj Kryger , Jonathan F. MacArt

In this work, we derive first order continuum traffic flow models from a microscopic delayed follow-the-leader model. Those are applicable in the context of vehicular traffic flow as well as pedestrian traffic flow. The microscopic model is…

Numerical Analysis · Mathematics 2016-12-14 Antoine Tordeux , Guillaume Costeseque , Michael Herty , Armin Seyfried

We develop a predictor-feedback cooperative adaptive cruise control (CACC) design relying on a multiple-predecessor-following (MPF) topology-based nominal delay-free CACC law. We consider vehicular platoons with heterogeneous vehicles,…

Systems and Control · Electrical Eng. & Systems 2026-04-08 Amirhossein Samii , Dimitrios Angelopoulos , Nikolaos Bekiaris-Liberis