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Title
Traffic congestion control by PDE backstepping / Huan Yu, Miroslav Krstic.
ISBN
9783031193460 (electronic bk.)
3031193466 (electronic bk.)
9783031193453
3031193458
Published
Cham : Birkhäuser, 2022.
Language
English
Description
1 online resource : illustrations (black and white, and color).
Other Standard Identifiers
10.1007/978-3-031-19346-0 doi
Call Number
HE336.C64
Dewey Decimal Classification
388.3/142015118
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Description based on print version record.
Series
Systems & control.
Introduction
Backstepping for Coupled Hyperbolic PDEs
Part I: Basic Backstepping Control of Freeway Traffic
Stabilization of ARZ Model with Known Parameters and Fundamental Diagram
Observer Validation on Freeway Data
Adaptive Control of ARZ Traffic Model
Event-Triggered Control of ARZ Model
Comparison of Backstepping with Reinforcement Learning
Part II: Advanced Backstepping for Traffic Flows
Two-Lane Traffic Control
Two-Class Traffic Control
Control of Two-Cascaded Freeway Segments
Estimation of Freeway Diverge Flows
Control under Routing-Induced Instability
Bilateral Regulation of Moving Shock Position
Extremum Seeking of Downstream Bottleneck.
