Overview
- Studies stabilization and state estimation of stop-and-go oscillations for macroscopically modeled traffic flows
- Presents many extensions beyond the conventional Aw-Rascle-Zhang model of traffic flow
- Demonstrates applications for the widely popular method of PDE backstepping control
Part of the book series: Systems & Control: Foundations & Applications (SCFA)
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Table of contents (14 chapters)
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Front Matter
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Basic Backstepping Control of Freeway Traffic
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Front Matter
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Advanced Backstepping for Traffic Flows
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Front Matter
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Back Matter
Keywords
About this book
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.
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Authors and Affiliations
About the authors
Huan Yu is an Assistant Professor in the Thrust of Intelligent Transportation at the Hong Kong University of Science and Technology (Guangzhou), and a joint Assistant Professor in the Department of Civil and Environmental Engineering at the Hong Kong University of Science and Technology. She received her Ph.D. degree from University of California, San Diego. She was a visiting scholar at University of California, Berkeley and Massachusetts Institute of Technology.
Miroslav Krstic is Fellow of SIAM, IEEE, IFAC, ASME, AAAS, IET, AIAA (AF), and the Serbian Academy of Sciences and Arts. His awards include the Bellman, Reid, Oldenburger, Ragazzini, Chestnut, Paynter, Nyquist Lecture, IFAC Nonlinear Control , IFAC Ruth Curtain DPS, Balakrishnan, Axelby, and Schuck (’96 and ’19). He has served as EiC or senior editor in Systems & Control Letters, Automatica, and IEEE Transactions on Automatic Control. Four of Krstic’s 18 coauthoredbooks have been with this Birkhäuser series, including the single-authored Delay Compensation for Nonlinear, Adaptive, and PDE Systems.
Bibliographic Information
Book Title: Traffic Congestion Control by PDE Backstepping
Authors: Huan Yu, Miroslav Krstic
Series Title: Systems & Control: Foundations & Applications
DOI: https://doi.org/10.1007/978-3-031-19346-0
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022
Hardcover ISBN: 978-3-031-19345-3Published: 18 December 2022
Softcover ISBN: 978-3-031-19348-4Published: 18 December 2023
eBook ISBN: 978-3-031-19346-0Published: 16 December 2022
Series ISSN: 2324-9749
Series E-ISSN: 2324-9757
Edition Number: 1
Number of Pages: XVII, 356
Topics: Systems Theory, Control, Analysis, Control and Systems Theory