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

T.C.P.F. Leenen; S. Naderi Naderilordejani; B. Besselink; W.H.A. Schilders; N. van de Wouw

doi:10.1016/j.ifacol.2020.12.1514

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

T.C.P.F. Leenen, S. Naderi Naderilordejani, B. Besselink, W.H.A. Schilders, N. van de Wouw

Research output: Contribution to journal › Conference article › peer-review

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 language	English
Pages (from-to)	7698-7703
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	53
Issue number	2
DOIs	https://doi.org/10.1016/j.ifacol.2020.12.1514
Publication status	Published - 2020
Event	21st World Congress of the International Federation of Aufomatic Control (IFAC 2020 World Congress) - Berlin, Germany Duration: 12 Jul 2020 → 17 Jul 2020 Conference number: 21 https://www.ifac2020.org/

Bibliographical note

Funding Information:
This research has been carried out in the HYDRA project, which has received funding from the European Union's Horizon 2020 research and innovation program under grant agreement No 675731.

Funding

This research has been carried out in the HYDRA project, which has received funding from the European Union's Horizon 2020 research and innovation program under grant agreement No 675731.

Funders	Funder number
Horizon 2020 Framework Programme
Horizon 2020	675731

Keywords

Automatic control
Hyperbolic systems
Managed pressure drilling
Model reduction
Time delay

Access to Document

10.1016/j.ifacol.2020.12.1514

Cite this

@article{1947c2b0ea0f4b2a9584302fd58e947a,

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

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.",

keywords = "Automatic control, Hyperbolic systems, Managed pressure drilling, Model reduction, Time delay",

author = "T.C.P.F. Leenen and Naderilordejani, {S. Naderi} and B. Besselink and W.H.A. Schilders and {van de Wouw}, N.",

note = "Funding Information: This research has been carried out in the HYDRA project, which has received funding from the European Union's Horizon 2020 research and innovation program under grant agreement No 675731. ; 21st World Congress of the International Federation of Aufomatic Control (IFAC 2020 World Congress), IFAC 2020 ; Conference date: 12-07-2020 Through 17-07-2020",

year = "2020",

doi = "10.1016/j.ifacol.2020.12.1514",

language = "English",

volume = "53",

pages = "7698--7703",

journal = "IFAC-PapersOnLine",

issn = "2405-8963",

publisher = "Elsevier",

number = "2",

url = "https://www.ifac2020.org/",

}

TY - JOUR

T1 - Control-oriented model reduction for a class of hyperbolic systems with application to managed pressure drilling

AU - Leenen, T.C.P.F.

AU - Naderilordejani, S. Naderi

AU - Besselink, B.

AU - Schilders, W.H.A.

AU - van de Wouw, N.

N1 - Conference code: 21

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

KW - Automatic control

KW - Hyperbolic systems

KW - Managed pressure drilling

KW - Model reduction

KW - Time delay

UR - http://www.scopus.com/inward/record.url?scp=85105101422&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2020.12.1514

DO - 10.1016/j.ifacol.2020.12.1514

M3 - Conference article

AN - SCOPUS:85105101422

SN - 2405-8963

VL - 53

SP - 7698

EP - 7703

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 2

T2 - 21st World Congress of the International Federation of Aufomatic Control (IFAC 2020 World Congress)

Y2 - 12 July 2020 through 17 July 2020

ER -

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

Abstract

Bibliographical note

Funding

Keywords

Access to Document

Other files and links

Fingerprint

Cite this