Feedback control of nonlinear hyperbolic PDE systems inspired by traffic flow models

This item is provided by the institution :
Technical University of Crete

Repository :
Institutional Repository Technical University of Crete

see the original item page
in the repository's web site and access all digital files if the item^*

Title

Feedback control of nonlinear hyperbolic PDE systems inspired by traffic flow models (EN)

Creator

Μπεκιαρης-Λυμπερης Νικολαος (EL)

Παπαγεωργιου Μαρκος (EL)

Bekiaris-Liberis Nikolaos (EN)

Papageorgiou Markos (EN)

Karafyllis, Iasson (EN)

Type

journalArticle

Partial document
Publication in journal (EN)

Article
Scientific article (EN)

Issued

2018

Year

2018 (EN)

Description

The paper investigates and provides results, including feedback control, for a nonlinear, hyperbolic, 1-D PDE system on a bounded domain. The considered model consists of two first-order PDEs with a dynamic boundary condition on the one end and actuation on the other. It is shown that, for all positive initial conditions, the system admits a globally defined, unique, classical solution that remains positive and bounded for all times; these properties are important, for example for traffic flow models. Moreover, it is shown that global stabilization can be achieved for arbitrary equilibria by means of an explicit boundary feedback law. The stabilizing feedback law depends only on collocated boundary measurements. The efficiency of the proposed boundary feedback law is demonstrated by means of a numerical example of traffic density regulation. (EN)

Subject

Traffic flow (EN)

Boundary feedback (EN)

Hyperbolic PDEs (EN)

Journal

IEEE Transactions on Automatic Control (EN)

Language

English

Publisher

Institute of Electrical and Electronics Engineers (EN)

School / Department / Institute

Πολυτεχνείο Κρήτης (EL)