Simultaneous compensation of input delay and state/input quantization for linear systems via switched predictor feedbackSimultaneous compensation of input delay and state/input quantization for linear systems via switched predictor feedback Peer-Reviewed Journal Publication Δημοσίευση σε Περιοδικό με Κριτές 2024-08-282024enWe develop a switched predictor-feedback law, which achieves global asymptotic stabilization of linear systems with input delay and with the plant and actuator states available only in (almost) quantized form. The control design relies on a quantized version of the nominal predictor-feedback law for linear systems, in which quantized measurements of the plant and actuator states enter the predictor state formula. A switching strategy is constructed to dynamically adjust the tunable parameter of the quantizer (in a piecewise constant manner), in order to initially increase the range and subsequently decrease the error of the quantizers. The key element in the proof of global asymptotic stability in the supremum norm of the actuator state is derivation of solutions’ estimates combining a backstepping transformation with small-gain and input-to-state stability arguments, for addressing the error due to quantization. We extend this result to the input quantization case and illustrate our theory with a numerical example.Funded by the European Union (ERC, C-NORA, 101088147). Views and opinions expressed are however those of the authors only and do not necessarily reflect those of the European Union or the European Research Council. Neither the European Union nor the granting authority can be held responsible for them.http://creativecommons.org/licenses/by-nc-nd/4.0/Systems & Control Letters192paper no. 105912Koudohode_et_al_Syst. Control Lett_2024_preprint.pdfChania [Greece]Library of TUC2024-08-27application/pdf576.5 kBfree Koudohode Florent Florent Koudohode Bekiaris-Liberis Nikolaos Μπεκιαρης-Λυμπερης Νικολαος Elsevier Predictor feedback Quantization Input delay ODE-hyperbolic PDE cascade Hybrid control