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Monitoring and control of traffic networks represent alternative, inexpensive strategies to minimize traffic congestion. As the number of traffic sensors is naturally constrained by budgetary requirements, real-time estimation of traffic…

Systems and Control · Computer Science 2019-11-12 Sebastian A. Nugroho , Ahmad F. Taha , Christian Claudel

We introduce an alternative approach for the analysis and numerical approximation of the optimal feedback control mapping. It consists in looking at a typical optimal control problem in such a way that feasible controls are mappings…

Optimization and Control · Mathematics 2017-06-09 Pablo Pedregal

In earlier work, a decentralized optimal control framework was established for coordinating online connected and automated vehicles (CAVs) in merging roadways, urban intersections, speed reduction zones, and roundabouts. The dynamics of…

Optimization and Control · Mathematics 2019-08-15 Andreas A. Malikopoulos , Liuhui Zhao

This paper studies steady-state traffic flow on a ring road with up- and down- slopes using a semi-discrete model. By exploiting the relations between the semi-discrete and the continuum models, a steady-state solution is uniquely…

Mathematical Physics · Physics 2015-06-15 Chun-Xiu Wu , Peng Zhang , S. C. Wong , Keechoo Choi

This paper presents two one-dimensional mathematical models describing automobile traffic flow on straight road segments at a signalized intersection. When the traffic light is permissive, the flow density and velocity are obtained by…

Analysis of PDEs · Mathematics 2026-04-29 Akbota Senkebayeva

In this paper, we consider the two phases macroscopic traffic model introduced in [P. Goatin, The Aw-Rascle vehicular traffic flow with phase transitions, Mathematical and Computer Modeling 44 (2006) 287-303]. We first apply the wave-front…

Numerical Analysis · Mathematics 2016-02-11 Mohamed Benyahia , Massimiliano Daniele Rosini

This paper proposes a novel real-time affordable solution to the trajectory tracking control problem for self-driving cars subject to longitudinal and steering angular velocity constraints. To this end, we develop a dual-mode Model…

Systems and Control · Electrical Eng. & Systems 2024-05-06 Cristian Tiriolo , Walter Lucia

We derive a nonlinear 2-equation discrete-velocity model for traffic flow from a continuous kinetic model. The model converges to scalar Lighthill-Whitham type equations in the relaxation limit for all ranges of traffic data. Moreover, the…

Analysis of PDEs · Mathematics 2017-10-18 Raul Borsche , Axel Klar

The paper introduces a new bidirectional microscopic inviscid Adaptive Cruise Control (ACC) model that uses only spacing information from the preceding and following vehicles in order to select the proper control action to avoid collisions…

Optimization and Control · Mathematics 2021-09-21 Iasson Karafyllis , Dionysis Theodosis , Markos Papageorgiou

This paper addresses the problem of traffic state estimation (TSE) in the presence of heterogeneous sensors which include both fixed and moving sensors. Traditional fixed sensors are expensive and cannot be installed throughout the highway.…

Systems and Control · Electrical Eng. & Systems 2024-07-04 Suyash C. Vishnoi , Sebastian A. Nugroho , Ahmad F. Taha , Christian G. Claudel

This paper presents a real-time lane change control framework of autonomous driving in dense traffic, which exploits cooperative behaviors of other drivers. This paper focuses on heavy traffic where vehicles cannot change lanes without…

Robotics · Computer Science 2019-10-01 Sangjae Bae , Dhruv Saxena , Alireza Nakhaei , Chiho Choi , Kikuo Fujimura , Scott Moura

Autonomous vehicles (AVs) allow new ways of regulating the traffic flow on road networks. Most of available results in this direction are based on microscopic approaches, where ODEs describe the evolution of regular cars and AVs. In this…

Analysis of PDEs · Mathematics 2020-04-21 Mauro Garavello , Paola Goatin , Thibault Liard , Benedetto Piccoli

We propose and analyze a protocol for stabilizing a maximally entangled state of two noninteracting qubits using active state-dependent feedback from a continuous two-qubit half-parity measurement in coordination with a concurrent,…

We consider a modified Nagel-Schreckenberg (NS) model in which drivers do not decelerate if their speed is smaller than the headway (number of empty sites to the car ahead). (In the original NS model, such a reduction in speed occurs with…

Statistical Mechanics · Physics 2017-02-15 M. L. L. Iannini , Ronald Dickman

Existing traffic control systems only possess a local perspective over the multiple scales of traffic evolution, namely the intersection level, the corridor level, and the region level respectively. But luckily, despite its complex…

Systems and Control · Electrical Eng. & Systems 2023-01-25 Cristian Axenie , Margherita Grossi

The suspension system is a crucial part of the automotive chassis, improving vehicle ride comfort and isolating passengers from rough road excitation. Unlike passive suspension, which has constant spring and damping coefficients, active…

Robotics · Computer Science 2024-08-19 Anh N. Nhu , Ngoc-Anh Le , Shihang Li , Thang D. V. Truong

This research introduces an innovative method for adaptive traffic signal control (ATSC) through the utilization of multi-objective deep reinforcement learning (DRL) techniques. The proposed approach aims to enhance control strategies at…

Machine Learning · Computer Science 2024-08-05 Shahin Mirbakhsh , Mahdi Azizi

Traffic signal control has the potential to reduce congestion in dynamic networks. Recent studies show that traffic signal control with reinforcement learning (RL) methods can significantly reduce the average waiting time. However, a…

Systems and Control · Electrical Eng. & Systems 2024-06-13 Maonan Wang , Yutong Xu , Xi Xiong , Yuheng Kan , Chengcheng Xu , Man-On Pun

This paper offers an integrative data-driven physics-inspired approach to model and control traffic congestion in a resilient and efficient manner. While existing physics-based approaches commonly assign density and flow traffic states by…

Systems and Control · Electrical Eng. & Systems 2019-12-03 Hossein Rastgoftar , Ella Atkins

Highway capacity is often subject to stochastic perturbations due to the combined effects of weather, traffic mixture, driver behavior, etc. This paper is motivated by the need of a systematic approach to traffic control with performance…

Optimization and Control · Mathematics 2022-03-11 Yu Tang , Li Jin , Alexander A. Kurzhanskiy , Saurabh Amin