Control-oriented model reduction for a class of hyperbolic systems with application to managed pressure drilling

T.C.P.F. Leenen*, S. Naderi Lordejani, Bart Besselink, W.H.A. Schilders, Nathan van de Wouw

*Corresponding author for this work

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Abstract

This paper presents a model reduction approach for systems of hyperbolic partial differential equations (PDEs) with nonlinear boundary conditions. These systems can be decomposed into a feedback interconnection of a linear hyperbolic subsystem and a static nonlinear mapping. This structure motivates us to reduce the overall model complexity by only reducing the linear subsystem (the PDE part). We show that the linear PDE subsystem can effectively be approximated by a cascaded structure of systems of continuous time difference equations (CTDEs) and ordinary differential equations (ODEs), where the CTDE captures the infinite-dimensional nature of the PDE model. These systems are constructed by adapting an interpolation method based on frequency-domain data. Models in the form of hyperbolic PDEs with nonlinear boundary conditions are for example encountered in managed pressure drilling (MPD). The proposed technique is verified by application to such an MPD model.
Original languageEnglish
Title of host publicationProceedings of the 21st IFAC World Congress, Berlin, Germany
EditorsRolf Findeisen, Sandra Hirche, Klaus Janschek, Martin Mönnigmann
PublisherElsevier
Pages7698-7703
Number of pages6
DOIs
Publication statusPublished - 2020
Event21st IFAC World Congress 2020 - Berlin, Germany
Duration: 11-Jul-202017-Jul-2020
https://www.ifac2020.org/

Publication series

NameIFAC-PapersOnLine
PublisherElsevier
Number2
Volume53
ISSN (Print)2405-8963

Conference

Conference21st IFAC World Congress 2020
Country/TerritoryGermany
CityBerlin
Period11/07/202017/07/2020
Internet address

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