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

Bekiaris-Liberis Nikolaos, Krstić, Miroslav

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URIhttp://purl.tuc.gr/dl/dias/5CDFEBC8-E117-4179-9756-2AC79F2E704D-
Identifierhttps://doi.org/ 10.1109/TAC.2018.2800792-
Identifierhttps://ieeexplore.ieee.org/document/8278166/-
Languageen-
Extent8 pagesen
TitleCompensation of transport actuator dynamics with input-dependent moving controlled boundaryen
CreatorBekiaris-Liberis Nikolaosen
CreatorΜπεκιαρης-Λυμπερης Νικολαοςel
CreatorKrstić, Miroslaven
PublisherInstitute of Electrical and Electronics Engineersen
DescriptionNikolaos 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.en
Content SummaryWe 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
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2018-04-25-
Date of Publication2018-
SubjectMoving boundaryen
SubjectDelay systemsen
SubjectDistributed parameter systemsen
SubjectPredictor-feedbacken
Bibliographic CitationN. Bekiaris-Liberis and M. Krstic, "Compensation of transport actuator dynamics with input-dependent moving controlled boundary," IEEE Trans. Automat. Contr., Early access, 2018. doi: 10.1109/TAC.2018.2800792en

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