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Hybrid boundary stabilization of linear first-order hyperbolic PDEs despite almost quantized measurements and control input

Bekiaris-Liberis Nikolaos

Απλή Εγγραφή


URIhttp://purl.tuc.gr/dl/dias/3ABE140B-EC1A-4CB3-8199-E477C014999D-
Αναγνωριστικόhttps://doi.org/10.1016/j.sysconle.2020.104809-
Αναγνωριστικόhttps://www.sciencedirect.com/science/article/pii/S0167691120301912-
Γλώσσαen-
Μέγεθος10 pagesen
Μέγεθος1,61 megabytesen
ΤίτλοςHybrid boundary stabilization of linear first-order hyperbolic PDEs despite almost quantized measurements and control inputen
ΔημιουργόςBekiaris-Liberis Nikolaosen
ΔημιουργόςΜπεκιαρης-Λυμπερης Νικολαοςel
ΕκδότηςElsevieren
ΠερίληψηWe 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
ΤύποςPeer-Reviewed Journal Publicationen
ΤύποςΔημοσίευση σε Περιοδικό με Κριτέςel
Άδεια Χρήσηςhttp://creativecommons.org/licenses/by/4.0/en
Ημερομηνία2021-03-30-
Ημερομηνία Δημοσίευσης2020-
Θεματική ΚατηγορίαHybrid controlen
Θεματική ΚατηγορίαQuantizationen
Θεματική ΚατηγορίαHyperbolic PDEsen
Θεματική ΚατηγορίαBacksteppingen
Θεματική ΚατηγορίαIntegral delay equationsen
Βιβλιογραφική ΑναφοράN. 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.2020.104809en

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