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Technical University of Crete
Technical University of Crete
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| URI | http://purl.tuc.gr/dl/dias/3ABE140B-EC1A-4CB3-8199-E477C014999D | - |
| Identifier | https://doi.org/10.1016/j.sysconle.2020.104809 | - |
| Identifier | https://www.sciencedirect.com/science/article/pii/S0167691120301912 | - |
| Language | en | - |
| Extent | 10 pages | en |
| Extent | 1,61 megabytes | en |
| Title | Hybrid boundary stabilization of linear first-order hyperbolic PDEs despite almost quantized measurements and control input | en |
| Creator | Bekiaris-Liberis Nikolaos | en |
| Creator | Μπεκιαρης-Λυμπερης Νικολαος | el |
| Publisher | Elsevier | en |
| Content Summary | 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 |
| Type of Item | Peer-Reviewed Journal Publication | en |
| Type of Item | Δημοσίευση σε Περιοδικό με Κριτές | el |
| License | http://creativecommons.org/licenses/by/4.0/ | en |
| Date of Item | 2021-03-30 | - |
| Date of Publication | 2020 | - |
| Subject | Hybrid control | en |
| Subject | Quantization | en |
| Subject | Hyperbolic PDEs | en |
| Subject | Backstepping | en |
| Subject | Integral delay equations | en |
| Bibliographic Citation | 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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