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Many headway-based car-following models describe longitudinal adaptation through linear relaxation laws, which can produce unrealistically large accelerations and limit the physical consistency of microscopic traffic dynamics. Motivated by…

Systems and Control · Electrical Eng. & Systems 2026-05-13 Nizhum Rahman , Trachette L. Jackson

This paper presents the design of an integral controller for vehicle platoons with actuator dynamics. The proposed controller ensures string stability with disturbances and simultaneously compensates for constant disturbances through…

Systems and Control · Electrical Eng. & Systems 2020-11-26 Guilherme Fróes Silva , Alejandro Donaire , Aaron McFadyen , Jason Ford

The stable combination of optimal feedback policies with online learning is studied in a new control-theoretic framework for uncertain nonlinear systems. The framework can be systematically used in transfer learning and sim-to-real…

Systems and Control · Electrical Eng. & Systems 2022-04-13 Brett T. Lopez , Jean-Jacques E. Slotine

Reaction delays are important in determining the qualitative dynamical properties of a platoon of vehicles traveling on a straight road. In this paper, we investigate the impact of delayed feedback on the dynamics of the Modified Optimal…

Systems and Control · Computer Science 2019-01-28 Gopal Krishna Kamath , Krishna Jagannathan , Gaurav Raina

This paper deals with a one-dimensional wave equation with a nonlinear dynamic boundary condition and a Neumann-type boundary control acting on the other extremity. We consider a class of nonlinear stabilizing feedbacks that only depend on…

Analysis of PDEs · Mathematics 2022-08-31 Nicolas Vanspranghe , Francesco Ferrante , Christophe Prieur

Statistical mechanics of a small system of cars on a single-lane road is developed. The system is not characterized by a Hamiltonian but by a conditional probability of a velocity of a car for the given velocity and distance of the car…

Physics and Society · Physics 2009-11-13 Anton Šurda

We study platoon control of vehicles with linear third-order longitudinal dynamics under the constant time headway policy. The controller of each follower vehicle is only based on its own velocity, acceleration, inter-vehicle distance and…

Systems and Control · Electrical Eng. & Systems 2021-03-31 Anquan Liu , Tao Li , Yu Gu , Haohui Dai

A cellular automaton model of traffic flow taking into account velocity anticipation is introduced. The strength of anticipation can be varied which allows to describe different driving schemes. We find phase separation into a free-flow…

Statistical Mechanics · Physics 2007-05-23 M. E. Larraga , J. A. del Rio , A. Schadschneider

Autonomous optimization refers to the design of feedback controllers that steer a physical system to a steady state that solves a predefined, possibly constrained, optimization problem. As such, no exogenous control inputs such as setpoints…

Optimization and Control · Mathematics 2020-10-08 Adrian Hauswirth , Saverio Bolognani , Gabriela Hug , Florian Dörfler

This paper presents a control design with integral action for vehicle platoons with disturbance that ensures string stability of the closed loop and disturbance rejection. The addition of integral action and a coordinate change allows to…

Systems and Control · Electrical Eng. & Systems 2020-06-23 Guilherme Froes Silva , Alejandro Donaire , Aaron McFadyen , Jason Ford

A new cellular automaton (CA) traffic model is presented. The focus is on mechanical restrictions of vehicles realized by limited acceleration and deceleration capabilities. These features are incorporated into the model in order to…

Statistical Mechanics · Physics 2009-11-10 Hyun Keun Lee , Robert Barlovic , Michael Schreckenberg , Doochul Kim

Network systems and their control are highly important and appear in a variety of applications, including vehicle platooning and formation con- trol. Especially vehicle platoons are highly investigated and an interesting problem that arises…

Systems and Control · Computer Science 2017-02-21 S. Stuedli , M. M. Seron , R. H. Middleton

We analyze stability of a system which contains an harmonic oscillator non-linearly coupled to its second harmonic, in the presence of a driving force. It is found that there always exists a critical amplitude of the driving force above…

chao-dyn · Physics 2009-10-31 I. M. Khalatnikov , M. Kroyter

In this paper we present a prediction-based Cooperative Adaptive Cruise Controller for vehicles with actuation delay, applicable within heterogeneous platoons. We provide a stability analysis for the discrete-time implementation of this…

Systems and Control · Electrical Eng. & Systems 2024-04-25 Redmer de Haan , Lorenzo Redi , Tom van der Sande , Erjen Lefeber

Autonomous vehicular platoons will play an important role in improving on-road safety in tomorrow's smart cities. Vehicles in an autonomous platoon can exploit vehicle-to-vehicle (V2V) communications to collect information, such as velocity…

Information Theory · Computer Science 2019-07-22 Tengchan Zeng , Omid Semiari , Walid Saad , Mehdi Bennis

Statistical mechanics of a disordered system of cars on a single-lane road is developed. Behaviour of cars is defined by conditional probability of car velocity depending on the distance and velocity of the car ahead. A system consisting of…

Statistical Mechanics · Physics 2009-08-13 Anton Šurda

In this paper, we re-examine the notion of string stability as it relates to safety by providing an upper bound on the maximum spacing error of any vehicle in a homogeneous platoon in terms of the input of the leading vehicle. We reinforce…

Systems and Control · Electrical Eng. & Systems 2020-10-21 Vamsi Vegamoor , Shaojie Yan , Sivakumar Rathinam , Swaroop Darbha

Many car-following models are developed for jam avoidance in highways. Two mechanisms are used to improve the stability: feedback control with autonomous models and increasing of the interaction within cooperative ones. In this paper, we…

Physics and Society · Physics 2016-01-29 Antoine Tordeux , Sylvain Lassarre

The emerging connected and automated vehicle technologies allow vehicles to perceive and process traffic information in a wide spatial range. Modeling nonlocal interactions between connected vehicles and analyzing their impact on traffic…

Analysis of PDEs · Mathematics 2023-07-06 Kuang Huang , Qiang Du

Adaptive cruise control systems are fundamental components of the automation of the driving. At upper control level, ACC systems are based on car-following models determining the acceleration rate of a vehicle according to the distance gap…

Physics and Society · Physics 2020-04-13 Antoine Tordeux , Jean-Patrick Lebacque , Sylvain Lassarre