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Titel: Output regulation for general heterodirectional linear hyperbolic PDEs coupled with nonlinear ODEs
VerfasserIn: Irscheid, Abdurrahman
Deutscher, Joachim
Gehring, Nicole
Rudolph, Joachim
Sprache: Englisch
Titel: Automatica
Bandnummer: 148 (2023)
Verlag/Plattform: Elsevier
Erscheinungsjahr: 2022
DDC-Sachgruppe: 500 Naturwissenschaften
Dokumenttyp: Journalartikel / Zeitschriftenartikel
Abstract: This paper considers general heterodirectional linear hyperbolic PDEs with boundary actuation and collocated measurement, that are bidirectionally coupled with nonlinear ODEs at the unactuated boundary. An output feedback regulator is designed to have the control output track a reference in the presence of disturbances, with a nonlinear signal model generating the reference and the disturbances. This leads to new challenges for both the observer and controller design. The regulator design makes use of results from output regulation theory for nonlinear lumped-parameter and distributed-parameter systems. The derivation of the state feedback regulator requires solving a new type of regulator equations, which consist of a Cauchy problem for linear and semilinear hyperbolic PDEs. A key component of the novel observer design is a nonlinear retarded observer for a finite-dimensional subsystem. Both the controller and the observer design are systematic in nature and derived in several successive steps, that include backstepping transformations and, most notably, predictions of PDE and ODE states. The latter are shown to be the unique solution of general nonlinear Volterra integro-differential equations. Combining the observer with the state feedback regulator is proven to achieve output regulation for the closed-loop system. A numerical example illustrates and confirms the theoretical results.
DOI der Erstveröffentlichung: 10.1016/j.automatica.2022.110748
URL der Erstveröffentlichung: https://www.sciencedirect.com/science/article/abs/pii/S0005109822006148
Link zu diesem Datensatz: urn:nbn:de:bsz:291--ds-403002
hdl:20.500.11880/36208
http://dx.doi.org/10.22028/D291-40300
ISSN: 0005-1098
Datum des Eintrags: 10-Aug-2023
Fakultät: NT - Naturwissenschaftlich- Technische Fakultät
Fachrichtung: NT - Systems Engineering
Professur: NT - Prof. Dr. Joachim Rudolph
Sammlung:SciDok - Der Wissenschaftsserver der Universität des Saarlandes

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