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Compensation of transport actuator dynamics with input-dependent moving controlled boundary

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Compensation of transport actuator dynamics with input-dependent moving controlled boundary (EN)
Μπεκιαρης-Λυμπερης Νικολαος (EL)
Bekiaris-Liberis Nikolaos (EN)
Krstić, Miroslav (EN)
full paper
conferenceItem
2018
We 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. (EN)
Predictor feedback (EN)
Moving boundary (EN)
PDE-ODE cascades (EN)
English
Institute of Electrical and Electronics Engineers (EN)
Πολυτεχνείο Κρήτης (EL)
Technical University of Crete (EN)
Technical University of Crete
Institutional Repository Technical University of Crete
School of Chemical and Environmental Engineering - Conference Publications



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