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Related papers: Stop-and-Go Suppression in Two-Class Congested Tra…

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This paper develops a full-state feedback controller that damps out oscillations in traffic density and traffic velocity whose dynamical behavior is governed by the linearized two-class Aw-Rascle (AR) model. Thereby, the traffic is…

Optimization and Control · Mathematics 2020-01-07 Mark Burkhardt , Huan Yu , Miroslav Krstic

This paper develops output feedback boundary control to mitigate traffic congestion of a unidirectional two-lane freeway segment. The macroscopic traffic dynamics are described by the Aw-Rascle-Zhang (ARZ) model respectively for both the…

Optimization and Control · Mathematics 2019-05-07 Huan Yu , Miroslav Krstic

In this paper we develop a boundary state feedback control law for a traffic flow network system in its most fundamental form: one incoming and one outgoing road connected by a junction. The macroscopic traffic dynamics on each road segment…

Optimization and Control · Mathematics 2019-10-31 Huan Yu , Jean Auriol , Miroslav Krstic

We develop a control design for stabilization of traffic flow in congested regime, based on an Aw-Rascle-Zhang-type (ARZ-type) Partial Differential Equation (PDE) model, for traffic consisting of both ACC-equipped (Adaptive Cruise…

Optimization and Control · Mathematics 2018-12-20 Nikolaos Bekiaris-Liberis , Argiris I. Delis

The paper provides results for a non-standard, hyperbolic, 1-D, nonlinear traffic flow model on a bounded domain. The model consists of two first-order PDEs with a dynamic boundary condition that involves the time derivative of the…

Optimization and Control · Mathematics 2017-07-10 Iasson Karafyllis , Nikolaos Bekiaris-Liberis , Markos Papageorgiou

We extend the Aw-Rascle macroscopic model of car traffic into a two-way multi-lane model of pedestrian traffic. Within this model, we propose a technique for the handling of the congestion constraint, i.e. the fact that the pedestrian…

Mathematical Physics · Physics 2014-04-08 Cécile Appert-Rolland , Pierre Degond , Sébastien Motsch

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

An extended multi-class Aw-Rascle (AR) model with pressure term described as a function of area occupancy defined in form of proportional densities is presented. Two vehicle classes that is; cars and motorcycles are considered based on an…

Analysis of PDEs · Mathematics 2024-05-16 Nanyondo Josephine , Henry Kasumba

This paper presents a novel neural operator learning framework for designing boundary control to mitigate stop-and-go congestion on freeways. The freeway traffic dynamics are described by second-order coupled hyperbolic partial differential…

Systems and Control · Electrical Eng. & Systems 2024-11-12 Yihuai Zhang , Ruiguo Zhong , Huan Yu

We develop backstepping state feedback control to stabilize a moving shockwave in a freeway segment under bilateral boundary actuations of traffic flow. A moving shockwave, consisting of light traffic upstream of the shockwave and heavy…

Optimization and Control · Mathematics 2019-04-10 Huan Yu , Mamadou Diagne , Liguo Zhang , Miroslav Krstic

We develop reinforcement learning (RL) boundary controllers to mitigate stop-and-go traffic congestion on a freeway segment. The traffic dynamics of the freeway segment are governed by a macroscopic Aw-Rascle-Zhang (ARZ) model, consisting…

Optimization and Control · Mathematics 2021-01-18 Huan Yu , Saehong Park , Alexandre Bayen , Scott Moura , Miroslav Krstic

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

This paper addresses the problem of a boundary control design for traffic evolving in a large-scale urban network. The traffic state is described on a macroscopic scale and corresponds to the vehicle density, whose dynamics are governed by…

Optimization and Control · Mathematics 2021-03-17 Liudmila Tumash , Carlos Canudas-de-Wit , Maria Laura Delle Monache

We develop an input delay-compensating design for stabilization of an Aw-Rascle-Zhang (ARZ) traffic model in congested regime which is governed by a $2\times 2$ first-order hyperbolic nonlinear PDE. The traffic flow consists of both…

Systems and Control · Electrical Eng. & Systems 2022-09-05 Jie Qi , Shurong Mo , Miroslav Krstic

Control problems of mixed-autonomy traffic systems that consist of both human-driven vehicles (HV) and autonomous vehicles (AV), have gained increasing attention. This paper focuses on suppressing traffic oscillations in the mixed-autonomy…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Yihuai Zhang , Huan Yu

This paper introduces a novel approach to PDE boundary control design using neural operators to alleviate stop-and-go instabilities in congested traffic flow. Our framework leverages neural operators to design control strategies for traffic…

Machine Learning · Computer Science 2023-12-19 Yihuai Zhang , Ruiguo Zhong , Huan Yu

This study proposes a delay-compensated feedback controller based on proximal policy optimization (PPO) reinforcement learning to stabilize traffic flow in the congested regime by manipulating the time-gap of adaptive cruise…

Artificial Intelligence · Computer Science 2023-01-18 Shurong Mo , Nailong Wu , Jie Qi , Anqi Pan , Zhiguang Feng , Huaicheng Yan , Yueying Wang

This paper develops boundary observer for estimation of congested freeway traffic states based on Aw-Rascle-Zhang(ARZ) partial differential equations (PDE) model. Traffic state estimation refers to acquisition of traffic state information…

Optimization and Control · Mathematics 2019-05-01 Huan Yu , Alexandre M. Bayen , Miroslav Krstic

Modeling and congestion mitigation of mixed-autonomy traffic systems consisting of human-driven vehicles (HVs) and autonomous vehicles (AVs) have become increasingly critical with the rapid development of autonomous driving technology. This…

Systems and Control · Electrical Eng. & Systems 2025-11-18 Yihuai Zhang , Huan Yu

This paper develops boundary observer for estimation of congested freeway traffic states based on Aw-Rascle-Zhang (ARZ) partial differential equations (PDE) model. Traffic state estimation refers to acquisition of traffic state information…

Optimization and Control · Mathematics 2019-06-11 Huan Yu , Qijian Gan , Alexandre M. Bayen , Miroslav Krstic
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