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Technical University of Crete
Technical University of Crete
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| URI: | http://purl.tuc.gr/dl/dias/0C605B68-6B82-4DE7-AB29-557E7EBF4D2A | ||
| Year | 2018 | ||
| Type of Item | Peer-Reviewed Journal Publication | ||
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| Bibliographic Citation | I. Karafyllis, N. Bekiaris-Liberis and M. Papageorgiou, "Feedback control of nonlinear hyperbolic PDE systems inspired by traffic flow models," IEEE Trans. Automat. Contr., Early Access, 2018. doi: 10.1109/TAC.2018.2887141 https://doi.org/10.1109/TAC.2018.2887141 | ||
| Appears in Collections |
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.
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