Institutional Repository [SANDBOX]
Technical University of Crete
EN  |  EL

Search

Browse

My Space

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

Bekiaris-Liberis Nikolaos

Simple record


URIhttp://purl.tuc.gr/dl/dias/3ABE140B-EC1A-4CB3-8199-E477C014999D-
Identifierhttps://doi.org/10.1016/j.sysconle.2020.104809-
Identifierhttps://www.sciencedirect.com/science/article/pii/S0167691120301912-
Languageen-
Extent10 pagesen
Extent1,61 megabytesen
TitleHybrid boundary stabilization of linear first-order hyperbolic PDEs despite almost quantized measurements and control inputen
CreatorBekiaris-Liberis Nikolaosen
CreatorΜπεκιαρης-Λυμπερης Νικολαοςel
PublisherElsevieren
Content SummaryWe 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
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2021-03-30-
Date of Publication2020-
SubjectHybrid controlen
SubjectQuantizationen
SubjectHyperbolic PDEsen
SubjectBacksteppingen
SubjectIntegral delay equationsen
Bibliographic CitationN. 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

Available Files

Services

Statistics