Ιδρυματικό Αποθετήριο
Πολυτεχνείο Κρήτης
Πολυτεχνείο Κρήτης
EN
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EL
| URI | http://purl.tuc.gr/dl/dias/3ABE140B-EC1A-4CB3-8199-E477C014999D | - |
| Αναγνωριστικό | https://doi.org/10.1016/j.sysconle.2020.104809 | - |
| Αναγνωριστικό | https://www.sciencedirect.com/science/article/pii/S0167691120301912 | - |
| Γλώσσα | en | - |
| Μέγεθος | 10 pages | en |
| Μέγεθος | 1,61 megabytes | en |
| Τίτλος | Hybrid boundary stabilization of linear first-order hyperbolic PDEs despite almost quantized measurements and control input | en |
| Δημιουργός | Bekiaris-Liberis Nikolaos | en |
| Δημιουργός | Μπεκιαρης-Λυμπερης Νικολαος | el |
| Εκδότης | Elsevier | en |
| Περίληψη | We develop a hybrid boundary feedback law for a class of scalar, linear, first-order hyperbolic PDEs, for which the state measurements or the control input are subject to quantization. The quantizers considered are Lipschitz functions, which can approximate arbitrarily closely typical piecewise constant, taking finitely many values, quantizers. The control design procedure relies on the combination of two ingredients—A nominal backstepping controller, for stabilization of the PDE system in the absence of quantization, and a switching strategy, which updates the parameters of the quantizer, for compensation of the quantization effect. Global asymptotic stability of the closed-loop system is established through utilization of Lyapunov-like arguments and derivation of solutions’ estimates, providing explicit estimates for the supremum norm of the PDE state, capitalizing on the relation of the resulting, nonlinear PDE system (in closed loop) to a certain, integral delay equation. A numerical example is also provided to illustrate, in simulation, the effectiveness of the developed design. | en |
| Τύπος | Peer-Reviewed Journal Publication | en |
| Τύπος | Δημοσίευση σε Περιοδικό με Κριτές | el |
| Άδεια Χρήσης | http://creativecommons.org/licenses/by/4.0/ | en |
| Ημερομηνία | 2021-03-30 | - |
| Ημερομηνία Δημοσίευσης | 2020 | - |
| Θεματική Κατηγορία | Hybrid control | en |
| Θεματική Κατηγορία | Quantization | en |
| Θεματική Κατηγορία | Hyperbolic PDEs | en |
| Θεματική Κατηγορία | Backstepping | en |
| Θεματική Κατηγορία | Integral delay equations | en |
| Βιβλιογραφική Αναφορά | N. Bekiaris-Liberis, “Hybrid boundary stabilization of linear first-order hyperbolic PDEs despite almost quantized measurements and control input,” Syst. Control Lett., vol. 146, Dec. 2020. doi: 10.1016/j.sysconle.2020.104809 | en |
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