Traffic Congestion Control By Pde Backstepping

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Traffic Congestion Control By Pde Backstepping

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Author : Huan Yu
language : en
Publisher: Springer Nature
Release Date : 2022-12-16

Traffic Congestion Control By Pde Backstepping written by Huan Yu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-16 with Science categories.

This monograph explores the design of controllers that suppress oscillations and instabilities in congested traffic flow using PDE backstepping methods. The first part of the text is concerned with basic backstepping control of freeway traffic using the Aw-Rascle-Zhang (ARZ) second-order PDE model. It begins by illustrating a basic control problem – suppressing traffic with stop-and-go oscillations downstream of ramp metering – before turning to the more challenging case for traffic upstream of ramp metering. The authors demonstrate how to design state observers for the purpose of stabilization using output-feedback control. Experimental traffic data are then used to calibrate the ARZ model and validate the boundary observer design. Because large uncertainties may arise in traffic models, adaptive control and reinforcement learning methods are also explored in detail. Part II then extends the conventional ARZ model utilized until this point in order to address more complex traffic conditions: multi-lane traffic, multi-class traffic, networks of freeway segments, and driver use of routing apps. The final chapters demonstrate the use of the Lighthill-Whitham-Richards (LWR) first-order PDE model to regulate congestion in traffic flows and to optimize flow through a bottleneck. In order to make the text self-contained, an introduction to the PDE backstepping method for systems of coupled first-order hyperbolic PDEs is included. Traffic Congestion Control by PDE Backstepping is ideal for control theorists working on control of systems modeled by PDEs and for traffic engineers and applied scientists working on unsteady traffic flows. It will also be a valuable resource for researchers interested in boundary control of coupled systems of first-order hyperbolic PDEs.

Control Theory And Inverse Problems

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Author : Kaïs Ammari
language : en
Publisher: Springer Nature
Release Date : 2024-11-07

Control Theory And Inverse Problems written by Kaïs Ammari and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-07 with Science categories.

This volume presents a timely overview of control theory and inverse problems, and highlights recent advances in these active research areas. The chapters are based on talks given at the spring school "Control Theory & Inverse Problems” held in Monastir, Tunisia in May 2023. In addition to providing a snapshot of these two areas, chapters also highlight breakthroughs on more specific topics, such as: Control of hyperbolic systems The Helffer-Nier Conjecture Rapid stabilization of the discretized Vlasov system Exponential stability of a delayed thermoelastic system Control Theory and Inverse Problems will be a valuable resource for both established researchers as well as more junior members of the community.

Ai Enabled Technologies For Autonomous And Connected Vehicles

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Author : Yi Lu Murphey
language : en
Publisher: Springer Nature
Release Date : 2022-09-07

Ai Enabled Technologies For Autonomous And Connected Vehicles written by Yi Lu Murphey and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-07 with Technology & Engineering categories.

This book reports on cutting-edge research and advances in the field of intelligent vehicle systems. It presents a broad range of AI-enabled technologies, with a focus on automated, autonomous and connected vehicle systems. It covers advanced machine learning technologies, including deep and reinforcement learning algorithms, transfer learning and learning from big data, as well as control theory applied to mobility and vehicle systems. Furthermore, it reports on cutting-edge technologies for environmental perception and vehicle-to-everything (V2X), discussing socioeconomic and environmental implications, and aspects related to human factors and energy-efficiency alike, of automated mobility. Gathering chapters written by renowned researchers and professionals, this book offers a good balance of theoretical and practical knowledge. It provides researchers, practitioners and policy makers with a comprehensive and timely guide on the field of autonomous driving technologies.

Extremum Seeking Through Delays And Pdes

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Author : Tiago Roux Oliveira
language : en
Publisher: SIAM
Release Date : 2022-12-05

Extremum Seeking Through Delays And Pdes written by Tiago Roux Oliveira and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-05 with Mathematics categories.

Extremum Seeking through Delays and PDEs, the first book on the topic, expands the scope of applicability of the extremum seeking method, from static and finite-dimensional systems to infinite-dimensional systems. Readers will find numerous algorithms for model-free real-time optimization are developed and their convergence guaranteed, extensions from single-player optimization to noncooperative games, under delays and PDEs, are provided, the delays and PDEs are compensated in the control designs using the PDE backstepping approach, and stability is ensured using infinite-dimensional versions of averaging theory, and accessible and powerful tools for analysis. This book is intended for control engineers in all disciplines (electrical, mechanical, aerospace, chemical), mathematicians, physicists, biologists, and economists. It is appropriate for graduate students, researchers, and industrial users.

Advances In Distributed Parameter Systems

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Author : Jean Auriol
language : en
Publisher: Springer Nature
Release Date : 2022-04-24

Advances In Distributed Parameter Systems written by Jean Auriol and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-24 with Technology & Engineering categories.

The proposed book presents recent breakthroughs for the control of distributed parameter systems and follows on from a workshop devoted to this topic. It introduces new and unified visions of the challenging control problems raised by distributed parameter systems. The book collects contributions written by prominent international experts in the control community, addressing a wide variety of topics. It spans the full range from theoretical research to practical implementation and follows three traverse axes: emerging ideas in terms of control strategies (energy shaping, prediction-based control, numerical control, input saturation), theoretical concepts for interconnected systems (with potential non-linear actuation dynamics), advanced applications (cable-operated elevators, traffic networks), and numerical aspects. Cutting-edge experts in the field contributed in this volume, making it a valuable reference source for control practitioners, graduate students, and scientists researching practical and theoretical solutions to the challenging problems raised by distributed parameter systems.

Boundary Control Of Freeway Traffic Congestion

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Author : Huan Yu
language : en
Publisher:
Release Date : 2019

Boundary Control Of Freeway Traffic Congestion written by Huan Yu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.

This dissertation develops a systematic model-based approach for the boundary control and estimation of freeway traffic congestion problem. Three topics of traffic congestion on a freeway segment are studied and include stop-and-go traffic oscillations, moving traffic shockwave, and downstream traffic bottleneck, which are governed by different partial differential equation (PDE) models and require the advancement and application of three PDE control techniques. To supress stop-and-go oscillations, we introduce the macroscopic Aw-Rascle-Zhang traffic model, consisting of second-order nonlinear hyperbolic PDEs that govern dynamics of traffic density and velocity. The hetero-directional propagations of information in congested traffic generate the instabilities, motivating us to the stabilization problem for a coupled $2\times 2$ hyperbolic system. Using the backstepping method, a full-state feedback control is designed for ramp metering at outlet to actuate the outgoing traffic flow. We design boundary observer for state estimation and combine it with the full state feedback control to construct an output feedback controller. The observer design is validated with traffic field data. Under model parameter uncertainties, adaptive control design is proposed with on-line parameter estimation. Furthermore, we develop output feedback boundary control for two types of $4\times4$ nonlinear hyperbolic PDEs which arise from two-lane and two-class traffic congestion. Stabilization of two-lane traffic involves regulation of the lane-changing interactions with lane-specific varying speed limits while stabilization of two-class traffic tackles the heterogeneity of vehicles and drivers. A moving traffic shockwave, caused by changes of local road situations, segregates light traffic upstream and heavy traffic downstream. This density discontinuity travels upstream. As a result, drivers caught in the shockwave experience transitions from free to congested traffic. The interface position is governed by an ordinary differential equation (ODE) dependent on the density of the PDE states, described with Lighthill-Whitham-Richards model. For the coupled PDE-ODE system, the predictor feedback design is applied to compensate the state-dependent input delays. We design bilateral boundary controllers to drive the moving shockwave front to a desirable setpoint position, hindering the upstream propagation of the traffic congestion. Traffic on a freeway segment with capacity drop at outlet causes a downstream bottleneck. Traffic congestion forms because the traffic at the outlet overflows its capacity. Therefore the incoming flow of the segment needs to be regulated so that the outgoing traffic at the bottleneck area is discharged with its maximum flow rate. Since the traffic dynamics of the bottleneck is hard to model, we apply extremum seeking control, a model free approach for real-time optimization, to obtain the optimal input density at the inlet. The predictor feedback design is combined with the extremum seeking to compensate the delay effect of traffic state of the segment. The maximum flow rate is achieved at the bottleneck by regulating its upstream density at the inlet.

A Case Study Of Vehicular Traffic Congestion Control Using Real Time Systems Approach

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Author : Satish Jonnala
language : en
Publisher:
Release Date : 2010

A Case Study Of Vehicular Traffic Congestion Control Using Real Time Systems Approach written by Satish Jonnala and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Traffic engineering categories.

Closed Loop Congestion Control For Mixed Responsive And Non Responsive Traffic

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Author : Roman Pletka
language : en
Publisher:
Release Date : 2007

Closed Loop Congestion Control For Mixed Responsive And Non Responsive Traffic written by Roman Pletka and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.

Reduction Of Traffic Congestion And Improved Operational Efficiency

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Author : United States. Federal Highway Administration
language : en
Publisher:
Release Date : 1973

Reduction Of Traffic Congestion And Improved Operational Efficiency written by United States. Federal Highway Administration and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Highway engineering categories.

Adaptive Rate Based Congestion Control For Real Time Traffic

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Author : Attique Ahmad
language : en
Publisher:
Release Date : 1994

Adaptive Rate Based Congestion Control For Real Time Traffic written by Attique Ahmad and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.