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相关论文: Delay-Compensated Distributed PDE Control of Traff…

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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…

最优化与控制 · 数学 2018-12-20 Nikolaos Bekiaris-Liberis , Argiris I. Delis

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…

最优化与控制 · 数学 2019-10-31 Huan Yu , Jean Auriol , Miroslav Krstic

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…

最优化与控制 · 数学 2019-11-11 Stephen Chen , Huan Yu , Miroslav Krstic

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…

最优化与控制 · 数学 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…

最优化与控制 · 数学 2019-05-07 Huan Yu , Miroslav Krstic

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…

最优化与控制 · 数学 2019-06-11 Huan Yu , Qijian Gan , Alexandre M. Bayen , Miroslav Krstic

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…

最优化与控制 · 数学 2019-05-01 Huan Yu , Alexandre M. Bayen , 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…

最优化与控制 · 数学 2026-04-03 Mina Cao , Mamadou Diagne , Peipei Shang , Lei 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…

机器学习 · 计算机科学 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…

人工智能 · 计算机科学 2023-01-18 Shurong Mo , Nailong Wu , Jie Qi , Anqi Pan , Zhiguang Feng , Huaicheng Yan , Yueying Wang

This paper develops boundary feedback control laws in order to damp out traffic oscillations in the congested regime of the linearized two-class Aw-Rascle (AR) traffic model. The macroscopic second-order two-class AR traffic model consists…

最优化与控制 · 数学 2019-05-17 Mark Burkhardt , Huan Yu , Miroslav Krstic

This paper presents a delay-adaptive boundary control scheme for a $2\times 2$ coupled linear hyperbolic PDE-ODE cascade system with an unknown and arbitrarily long input delay. To construct a nominal delay-compensated control law, assuming…

最优化与控制 · 数学 2023-08-22 Ji Wang , Mamadou Diagne

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…

最优化与控制 · 数学 2021-01-18 Huan Yu , Saehong Park , Alexandre Bayen , Scott Moura , 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…

系统与控制 · 电气工程与系统科学 2025-11-18 Yihuai Zhang , Huan Yu

The uncertainty in human driving behaviors leads to stop-and-go instabilities in freeway traffic. The traffic dynamics are typically modeled by the Aw-Rascle-Zhang (ARZ) Partial Differential Equation (PDE) models, in which the relaxation…

最优化与控制 · 数学 2025-09-29 Kaijing Lyu , Junmin Wang , Yihuai Zhang , Huan Yu

This paper presents a safe delay-adaptive control for a strict-feedback nonlinear ODE with a delayed actuator, whose dynamic is also a strict-feedback nonlinear ODE and the delay length is unknown. By formulating the delay as a transport…

系统与控制 · 电气工程与系统科学 2024-10-01 Zhenxu Zhao , Ji Wang

Uncertainty and delayed reactions in human driving behavior lead to stop-and-go traffic congestion on freeways. The freeway traffic dynamics are governed by the Aw-Rascle-Zhang (ARZ) traffic Partial Differential Equation (PDE) models with…

最优化与控制 · 数学 2025-09-29 Kaijing Lv , Junmin Wang , Yihuai Zhang , Huan Yu

For stabilizing stop-and-go oscillations in traffic flow by actuating a variable speed limit (VSL) at a downstream boundary of a freeway segment, we introduce event-triggered PDE backstepping designs employing the recent concept of…

系统与控制 · 电气工程与系统科学 2025-03-10 Peihan Zhang , Bhathiya Rathnayake , Mamadou Diagne , Miroslav Krstic

The integration of Automated Vehicles (AVs) into traffic flow holds the potential to significantly improve traffic congestion by enabling AVs to function as actuators within the flow. This paper introduces an adaptive speed controller…

系统与控制 · 电气工程与系统科学 2024-08-20 Han Wang , Hossein Nick Zinat Matin , Maria Laura Delle Monache

A backstepping-based compensator design is developed for a system of $2\times2$ first-order linear hyperbolic partial differential equations (PDE) in the presence of an uncertain long input delay at boundary. We introduce a transport PDE to…

最优化与控制 · 数学 2023-07-24 Jing Zhang , Jie Qi
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