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The paper introduces novel families of cruise controllers for autonomous vehicles on lane-free ring-roads. The design of the cruise controllers is based on the appropriate selection of a Control Lyapunov Function expressed on measures of…

Optimization and Control · Mathematics 2022-08-04 Dionysis Theodosis , Iasson Karafyllis , Markos Papageorgiou

This article provides an overview of the design of nonlinear feedback Cruise Controllers (CCs) for automated vehicles on lane-free roads. The feedback design problem is particularly challenging because of the various state constraints…

Optimization and Control · Mathematics 2024-05-10 Iasson Karafyllis , Dionysios Theodosis , Markos Papageorgiou , Miroslav Krstic

Forward complete systems are guaranteed to have solutions that exist globally for all positive time. In this paper, a relaxed Lyapunov-like condition for forward completeness is presented for finite-dimensional systems defined on open sets…

Optimization and Control · Mathematics 2023-07-24 Iasson Karafyllis , Dionysis Theodosis , Markos Papageorgiou

In this paper, we design decentralized control strategies for the two-dimensional movement of autonomous vehicles on lane-free roads. The bicycle kinematic model is used to model the dynamics of the vehicles, and each vehicle determines its…

Optimization and Control · Mathematics 2021-03-24 Iasson Karafyllis , Dionysis Theodosis , Markos Papageorgiou

Safe obstacle avoidance and target set stabilization for nonlinear systems using reactive feedback control is under consideration. Based only on local information and by considering virtual dynamics, a safe path is generated online. The…

Systems and Control · Electrical Eng. & Systems 2024-12-02 Lukas Lanza , Philipp Braun

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 waves, the spatiotemporal propagation of congestion, are a key feature of traffic flow. As Adaptive Cruise Control (ACC) systems gain widespread adoption and show promise for improving both efficiency and safety, understanding how…

Analysis of PDEs · Mathematics 2026-02-03 Zihao Li , Quyuan Lin , Fan Pu , Soyoung Ahn , Yunlong Zhang , Jiwan Jiang , Yang Zhou

We derive a feedback control law for the control of the downstream flow in a 1-D open channel by manipulating the water flow at an upstream location. We use backstepping for controller design and Lyapunov techniques for stability analysis.…

Optimization and Control · Mathematics 2014-10-31 Mandy Huo , Sami Malek

Optimal cruise control design can increase highway throughput and vehicle safety in traffic flow. In most heterogeneous platoons, the absence of vehicle-to-vehicle (V2V) communication poses challenges in maintaining system stability and…

Systems and Control · Electrical Eng. & Systems 2024-05-21 Vishrut Bohara , Siavash Farzan

In traffic signal control, flow-based (optimizing the overall flow) and pressure-based methods (equalizing and alleviating congestion) are commonly used but often considered separately. This study introduces a unified framework using…

Systems and Control · Electrical Eng. & Systems 2024-01-18 Chaolun Ma , Bruce Wang , Zihao Li , Ahmadreza Mahmoudzadeh , Yunlong Zhang

In this paper we introduce a new method to design control laws for non-linear underactuated systems. Our method produces an infinite dimensional family of control laws, whereas most control techniques only produce a finite dimensional…

Optimization and Control · Mathematics 2007-05-23 Dave Auckly , Lev Kapitanski , Warren White

In this paper, we propose a framework for the longitudinal control of connected and automated vehicles traveling in mixed traffic consisting of connected and non-connected human-driven vehicles. Reactive and predictive controllers are…

Systems and Control · Electrical Eng. & Systems 2022-10-11 Minghao Shen , R. Austin Dollar , Tamas G. Molnar , Chaozhe R. He , Ardalan Vahidi , Gabor Orosz

In this letter, Lyapunov-based synthesis of a PI-like controller is proposed for $\mathcal{L}_2$-stable motion control of an independently driven and steered four-wheel mobile robot. An explicit, structurally verified model is used to…

Robotics · Computer Science 2026-02-18 Branimir Ćaran , Vladimir Milić , Bojan Jerbić

Using a nonlocal macroscopic LWR-type traffic flow model, we present an approach to control the nonlocal velocity towards a given equilibrium velocity. Therefore, we present a Lyapunov function measuring the $L^2$ distance between these…

Optimization and Control · Mathematics 2022-10-06 Jan Friedrich

A traffic system is a random and complex large system, which is difficult to conduct repeated modelling and control research in a real traffic environment. With the development of automatic driving technology, the requirements for testing…

Robotics · Computer Science 2023-08-01 Junfeng Li , Changqing Yan

Lyapunov stability theory is the bedrock of direct adaptive control. Fundamentally, Lyapunov stability requires constructing a distance-like function which must decrease with time to ensure stability. Feedback linearization, backstepping,…

Systems and Control · Electrical Eng. & Systems 2020-02-18 Brett T. Lopez , Jean-Jacques E. Slotine

The paper deals with the design of nonlinear adaptive cruise controllers for vehicular platoons operating on an open road or a ring-road. The constructed feedback controllers are nonlinear functions of the distance between successive…

Systems and Control · Electrical Eng. & Systems 2020-07-15 Iasson Karafyllis , Dionysis Theodosis , Markos Papageorgiou

We design the controls of physical systems that are faced by uncertainties. The system dynamics are described by random hyperbolic balance laws. The control aims to steer the system to a desired state under uncertainties. We propose a…

Optimization and Control · Mathematics 2021-07-20 Stephan Gerster , Markus Bambach , Michael Herty , Muhammad Imran

We introduce High-Relative Degree Stochastic Control Lyapunov functions and Barrier Functions as a means to ensure asymptotic stability of the system and incorporate state dependent high relative degree safety constraints on a non-linear…

Systems and Control · Electrical Eng. & Systems 2020-04-09 Meenakshi Sarkar , Debasish Ghose , Evangelos A. Theodorou

We present a fluid-dynamic model for the simulation of urban traffic networks with road sections of different lengths and capacities. The model allows one to efficiently simulate the transitions between free and congested traffic, taking…

Popular Physics · Physics 2007-05-23 Dirk Helbing , Stefan Lämmer , Jean-Patrick Lebacque
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