Institutional Repository [SANDBOX]
Technical University of Crete
EN  |  EL

Search

Browse

My Space

Compensation of input delay that depends on delayed input

Diagne Mamadou, Bekiaris-Liberis Nikolaos, Krstić, Miroslav

Simple record


URIhttp://purl.tuc.gr/dl/dias/7F98CCC3-B8EE-43EB-A0D4-53BED98D383C-
Identifierhttps://www.sciencedirect.com/science/article/pii/S0005109817304181?via%3Dihub-
Identifierhttps://doi.org/10.1016/j.automatica.2017.07.069-
Languageen-
Extent10 pagesen
TitleCompensation of input delay that depends on delayed inputen
CreatorDiagne Mamadouen
CreatorBekiaris-Liberis Nikolaosen
CreatorΜπεκιαρης-Λυμπερης Νικολαοςel
CreatorKrstić, Miroslaven
PublisherElsevieren
Content SummaryFor nonlinear systems, we develop a PDE-based predictor-feedback control design, which compensates actuator dynamics, governed by a transport PDE with outlet boundary-value-dependent propagation velocity. Global asymptotic stability under the predictor-feedback control law is established assuming spatially uniform strictly positive transport velocity. The stability proof is based on a Lyapunov-like argument and employs an infinite-dimensional backstepping transformation that is introduced. An equivalent representation of the transport PDE/nonlinear ODE cascade via a nonlinear system with an input delay that is defined implicitly through an integral of the past input is also provided and the equivalent predictor-feedback control design for the delay system is presented. The validity of the proposed controller is illustrated applying a predictor-feedback “bang–bang” boundary control law to a PDE model of a production system with a queue. Consistent simulation results are provided that support the theoretical developments. en
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2018-03-19-
Date of Publication2017-
SubjectBacksteppingen
SubjectDelay systemsen
SubjectNonlinear controlen
SubjectPredictor-feedbacken
Bibliographic CitationM. Diagne, N. Bekiaris-Liberis and M. Krstic, "Compensation of input delay that depends on delayed input," Automatica, vol. 85, pp. 362-373, Nov., 2017. doi:10.1016/j.automatica.2017.07.069en

Services

Statistics