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Simultaneous compensation of input delay and state/input quantization for linear systems via switched predictor feedback

Koudohode Florent, Bekiaris-Liberis Nikolaos

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URIhttp://purl.tuc.gr/dl/dias/6A6D48FD-F6F4-431C-9EEB-B48074EE813E-
Αναγνωριστικόhttps://doi.org/10.1016/j.sysconle.2024.105912-
Αναγνωριστικόhttps://www.sciencedirect.com/science/article/pii/S0167691124002007-
Γλώσσαen-
Μέγεθος15 pagesen
ΤίτλοςSimultaneous compensation of input delay and state/input quantization for linear systems via switched predictor feedbacken
ΔημιουργόςKoudohode Florenten
ΔημιουργόςFlorent Koudohodeel
ΔημιουργόςBekiaris-Liberis Nikolaosen
ΔημιουργόςΜπεκιαρης-Λυμπερης Νικολαοςel
ΕκδότηςElsevieren
ΠεριγραφήFunded 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.en
ΠερίληψηWe 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.en
ΤύποςPeer-Reviewed Journal Publicationen
ΤύποςΔημοσίευση σε Περιοδικό με Κριτέςel
Άδεια Χρήσηςhttp://creativecommons.org/licenses/by-nc-nd/4.0/en
Ημερομηνία2024-08-28-
Ημερομηνία Δημοσίευσης2024-
Θεματική ΚατηγορίαPredictor feedbacken
Θεματική ΚατηγορίαQuantizationen
Θεματική ΚατηγορίαInput delayen
Θεματική ΚατηγορίαODE-hyperbolic PDE cascadeen
Θεματική ΚατηγορίαHybrid controlen
Βιβλιογραφική ΑναφοράF. Koudohode and N. Bekiaris-Liberis, “Simultaneous compensation of input delay and state/input quantization for linear systems via switched predictor feedback,” Syst. Control Lett., 2024, doi: 10.1016/j.sysconle.2024.105912.en

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