Compensation of transport actuator dynamics with input-dependent moving controlled boundaryCompensation of transport actuator dynamics with input-dependent moving controlled boundary Peer-Reviewed Journal Publication Δημοσίευση σε Περιοδικό με Κριτές 2018-04-252018enWe introduce and solve the stabilization problem of a transport PDE/nonlinear ODE cascade, in which the PDE state evolves on a domain whose length depends on the boundary values of the PDE state itself. In particular, we develop a predictor-feedback control design, which compensates such transport PDE dynamics. We prove local asymptotic stability of the closed-loop system in the C1 norm of the PDE state employing a Lyapunov-like argument and introducing a backstepping transformation. We also highlight the relation of the PDE-ODE cascade to a nonlinear system with input delay that depends on past input values and present the predictor-feedback control design for this representation as well.Nikolaos Bekiaris-Liberis was supported by the funding from the European Commission’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No. 747898, project PADECOT.http://creativecommons.org/licenses/by/4.0/IEEE Transactions on Automatic ControlEarly accessBekiaris-Liberis_IEEE Trans. Automat. Contr._2017.pdfChania [Greece]Library of TUC2018-04-25application/pdf270.5 kB10.1109/TAC.2018.2800792embargo Bekiaris-Liberis Nikolaos Μπεκιαρης-Λυμπερης Νικολαος Krstić, Miroslav Institute of Electrical and Electronics Engineers Moving boundary Delay systems Distributed parameter systems Predictor-feedback