Traffic Congestion Control by PDE Backstepping eBook
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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 orderto 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.

About the book
Author
Miroslav  Krstic , Huan  Yu
Imprint
Birkhäuser
Collection
Systems & Control: Foundations & Applications
Publication date
2022-12-16
Pages
356 pages
Print ISBN
9783031193453
Language
English
Ebook informations
EAN PDF
9783031193460
Price
£119.99
Read more
Copy count 3
Print count 35
File size 8919 Ko
Ce livre est accessible aux handicaps   Informations accessibility
EAN EPUB
9783031193460
Price
£119.99
Read more
Copy count 3
Print count 35
File size 48241 Ko
Ce livre est accessible aux handicaps   Informations accessibility
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About author(s)


Defaut-Illustration Miroslav Krstic
Defaut-Illustration Huan Yu

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