Name
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1109/TAC.2018.2887141 | IEEE Transactions on Automatic Control |
Keywords | Field | DocType |
Mathematical model,Boundary conditions,Vehicle dynamics,Feedback control,Numerical models,Predictive models,Roads | Applied mathematics,Boundary value problem,Nonlinear system,Numerical models,Control theory,Microscopic traffic flow model,Vehicle dynamics,Partial differential equation,Mathematics,Hyperbolic partial differential equation,Bounded function | Journal |
Volume | Issue | ISSN |
64 | 9 | 0018-9286 |
Citations | PageRank | References |
3 | 0.41 | 10 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Iasson Karafyllis | 1 | 592 | 55.06 |
| Nikolaos Bekiaris-Liberis | 2 | 164 | 21.71 |
| Markos Papageorgiou | 3 | 653 | 165.20 |