Hybrid boundary stabilization of linear first-order hyperbolic PDEs despite almost quantized measurements and control inputHybrid boundary stabilization of linear first-order hyperbolic PDEs despite almost quantized measurements and control input Peer-Reviewed Journal Publication Δημοσίευση σε Περιοδικό με Κριτές 2021-03-302020enWe 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.http://creativecommons.org/licenses/by/4.0/Systems and Control Letters146Bekiaris-Liberis_Syst. Control Lett._146_2020.pdfChania [Greece]Library of TUC2021-03-30application/pdf1.7 MBfree Bekiaris-Liberis Nikolaos Μπεκιαρης-Λυμπερης Νικολαος Elsevier Hybrid control Quantization Hyperbolic PDEs Backstepping Integral delay equations