Traffic Congestion Control by PDE Backstepping

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....

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Bibliographic Details
Main Authors: Yu, Huan, Krstic, Miroslav (Author)
Format: eBook
Language:English
Published: Cham Birkhäuser 2022, 2022
Edition:1st ed. 2022
Series:Systems & Control: Foundations & Applications
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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