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Nonlinear bilateral output-feedback control for a class of viscous Hamilton–Jacobi PDEs

Bekiaris-Liberis Nikolaos, Vazquez Rafael

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URIhttp://purl.tuc.gr/dl/dias/8FA38ADD-BEB3-43DB-AD46-4453BF1374DD-
Αναγνωριστικόhttps://doi.org/10.1016/j.automatica.2018.12.005-
Αναγνωριστικόhttps://www.sciencedirect.com/science/article/pii/S0005109818306046-
Γλώσσαen-
Μέγεθος9 pagesen
ΤίτλοςNonlinear bilateral output-feedback control for a class of viscous Hamilton–Jacobi PDEsen
ΔημιουργόςBekiaris-Liberis Nikolaosen
ΔημιουργόςΜπεκιαρης-Λυμπερης Νικολαοςel
ΔημιουργόςVazquez Rafaelen
ΕκδότηςElsevieren
ΠεριγραφήNikolaos 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. Rafael Vazquez acknowledges financial support of the Spanish Ministerio de Economia y Competitividad under grant MTM2015-65608-P.en
ΠερίληψηWe tackle the boundary control and estimation problems for a class of viscous Hamilton–Jacobi PDEs, considering bilateral actuation and sensing, i.e., at the two boundaries of a 1-D spatial domain. We first solve the nonlinear trajectory generation problem for this type of PDEs, providing the necessary feedforward actions at both boundaries. We then design an observer-based output-feedback control law, which consists of two main elements—a nonlinear observer that is constructed utilizing measurements from both boundaries and state-feedback laws, which are employed at the two boundary ends. All of our designs are explicit since they are constructed interlacing a feedback linearizing transformation with backstepping. Due to the fact that the linearizing transformation is locally invertible, only a regional stability result is established, combining this transformation with backstepping, suitably formulated to handle the case of bilateral actuation and sensing. We illustrate the developed methodologies via application to traffic flow control and we present consistent simulation results.en
ΤύποςPeer-Reviewed Journal Publicationen
ΤύποςΔημοσίευση σε Περιοδικό με Κριτέςel
Άδεια Χρήσηςhttp://creativecommons.org/licenses/by/4.0/en
Ημερομηνία2019-01-04-
Ημερομηνία Δημοσίευσης2019-
Θεματική ΚατηγορίαFeedback linearizationen
Θεματική ΚατηγορίαBacksteppingen
Θεματική ΚατηγορίαTrackingen
Θεματική ΚατηγορίαBoundary controlen
Θεματική ΚατηγορίαInfinite-dimensional systemsen
Βιβλιογραφική ΑναφοράN. Bekiaris-Liberis and R. Vazquez, "Nonlinear bilateral output-feedback control for a class of viscous Hamilton–Jacobi PDEs", Automatica, vol. 101, pp. 223--231, Mar. 2019. doi: 10.1016/j.automatica.2018.12.005en

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