Model Reduction by Moment Matching for Convergent Lur'e-Type Models

M.F. Shakib; G. Scarciotti; A.Y. Pogromsky; A. Pavlov; N. van de Wouw

doi:10.23919/ACC50511.2021.9482908

Model Reduction by Moment Matching for Convergent Lur'e-Type Models

M.F. Shakib, G. Scarciotti, A.Y. Pogromsky, A. Pavlov, N. van de Wouw

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

3 Citaten (Scopus)

Samenvatting

This paper proposes an approach to model order reduction of convergent Lur'e-type models, which consist of a linear time-invariant (LTI) block and a static nonlinear block that is placed in feedback with the LTI block. In the proposed approach, we match a finite number of moments of the LTI block and keep the static nonlinear block to approximate the moments of the Lur'e-type model. The benefits of this approach are that the Lur'e-type structure is preserved after reduction, that the reduction method has an interpretation in terms of the frequency response function of the LTI block and that global exponential stability properties of the full-order model are preserved. The effectiveness of the approach is illustrated in a numerical example.

Originele taal-2	Engels
Titel	2021 American Control Conference (ACC)
Uitgeverij	Institute of Electrical and Electronics Engineers
Pagina's	4459-4464
Aantal pagina's	6
ISBN van elektronische versie	9781665441971
DOI's	https://doi.org/10.23919/ACC50511.2021.9482908
Status	Gepubliceerd - 28 jul. 2021
Evenement	2021 American Control Conference (ACC) - Virtual, Virtual, New Orleans, Verenigde Staten van Amerika Duur: 25 mei 2021 → 28 mei 2021 http://acc2021.a2c2.org/

Congres

Congres	2021 American Control Conference (ACC)
Verkorte titel	ACC 2021
Land/Regio	Verenigde Staten van Amerika
Stad	Virtual, New Orleans
Periode	25/05/21 → 28/05/21
Internet adres	http://acc2021.a2c2.org/

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Publisher Copyright:
© 2021 American Automatic Control Council.

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10.23919/ACC50511.2021.9482908

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abstract = "This paper proposes an approach to model order reduction of convergent Lur'e-type models, which consist of a linear time-invariant (LTI) block and a static nonlinear block that is placed in feedback with the LTI block. In the proposed approach, we match a finite number of moments of the LTI block and keep the static nonlinear block to approximate the moments of the Lur'e-type model. The benefits of this approach are that the Lur'e-type structure is preserved after reduction, that the reduction method has an interpretation in terms of the frequency response function of the LTI block and that global exponential stability properties of the full-order model are preserved. The effectiveness of the approach is illustrated in a numerical example.",

author = "M.F. Shakib and G. Scarciotti and A.Y. Pogromsky and A. Pavlov and {van de Wouw}, N.",

note = "Publisher Copyright: {\textcopyright} 2021 American Automatic Control Council.; 2021 American Control Conference, ACC 2021, ACC 2021 ; Conference date: 25-05-2021 Through 28-05-2021",

year = "2021",

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Shakib, MF, Scarciotti, G, Pogromsky, AY, Pavlov, A & van de Wouw, N 2021, Model Reduction by Moment Matching for Convergent Lur'e-Type Models. in 2021 American Control Conference (ACC)., 9482908, Institute of Electrical and Electronics Engineers, blz. 4459-4464, 2021 American Control Conference (ACC), Virtual, New Orleans, Verenigde Staten van Amerika, 25/05/21. https://doi.org/10.23919/ACC50511.2021.9482908

TY - GEN

T1 - Model Reduction by Moment Matching for Convergent Lur'e-Type Models

AU - Shakib, M.F.

AU - Scarciotti, G.

AU - Pogromsky, A.Y.

AU - Pavlov, A.

AU - van de Wouw, N.

PY - 2021/7/28

Y1 - 2021/7/28

N2 - This paper proposes an approach to model order reduction of convergent Lur'e-type models, which consist of a linear time-invariant (LTI) block and a static nonlinear block that is placed in feedback with the LTI block. In the proposed approach, we match a finite number of moments of the LTI block and keep the static nonlinear block to approximate the moments of the Lur'e-type model. The benefits of this approach are that the Lur'e-type structure is preserved after reduction, that the reduction method has an interpretation in terms of the frequency response function of the LTI block and that global exponential stability properties of the full-order model are preserved. The effectiveness of the approach is illustrated in a numerical example.

AB - This paper proposes an approach to model order reduction of convergent Lur'e-type models, which consist of a linear time-invariant (LTI) block and a static nonlinear block that is placed in feedback with the LTI block. In the proposed approach, we match a finite number of moments of the LTI block and keep the static nonlinear block to approximate the moments of the Lur'e-type model. The benefits of this approach are that the Lur'e-type structure is preserved after reduction, that the reduction method has an interpretation in terms of the frequency response function of the LTI block and that global exponential stability properties of the full-order model are preserved. The effectiveness of the approach is illustrated in a numerical example.

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U2 - 10.23919/ACC50511.2021.9482908

DO - 10.23919/ACC50511.2021.9482908

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EP - 4464

BT - 2021 American Control Conference (ACC)

PB - Institute of Electrical and Electronics Engineers

T2 - 2021 American Control Conference, ACC 2021

Y2 - 25 May 2021 through 28 May 2021

ER -

Model Reduction by Moment Matching for Convergent Lur'e-Type Models

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