Passivity-Preserving, Balancing-Based Model Reduction for Interconnected Systems

Luuk Poort; Bart Besselink; Rob H.B. Fey; Nathan van de Wouw

doi:10.1016/j.ifacol.2023.10.1782

Passivity-Preserving, Balancing-Based Model Reduction for Interconnected Systems

Luuk Poort^*, Bart Besselink, Rob H.B. Fey^*, Nathan van de Wouw^*

^*Corresponding author for this work

Systems, Control and Applied Analysis

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

1 Citation (Scopus)

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Abstract

This paper proposes a balancing-based model reduction approach for an interconnection of passive dynamic subsystems. This approach preserves the passivity and stability of both the subsystems and the interconnected system. Hereto, one Linear Matrix Inequality (LMI) per subsystem and a single Lyapunov equation for the entire interconnected system needs to be solved, the latter of which warrants the relevance of the reduction of the subsystems for the accurate reduction of the interconnected system, while preserving the modularity of the reduction approach. In a numerical example from structural dynamics, the presented approach displays superior accuracy with respect to an approach in which the individual subsystems are reduced independently.

Original language	English
Title of host publication	IFAC-PapersOnLine
Editors	Hideaki Ishii, Yoshio Ebihara, Jun-ichi Imura, Masaki Yamakita
Publisher	Elsevier
Pages	4240-4245
Number of pages	6
Edition	2
ISBN (Electronic)	9781713872344
DOIs	https://doi.org/10.1016/j.ifacol.2023.10.1782
Publication status	Published - 1-Jul-2023
Event	22nd IFAC World Congress - Yokohama, Japan Duration: 9-Jul-2023 → 14-Jul-2023

Publication series

Name	IFAC-PapersOnLine
Number	2
Volume	56
ISSN (Electronic)	2405-8963

Conference

Conference	22nd IFAC World Congress
Country/Territory	Japan
City	Yokohama
Period	09/07/2023 → 14/07/2023

Keywords

Balanced Truncation
Interconnected Systems
Model Reduction
Passivity

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10.1016/j.ifacol.2023.10.1782Licence: CC BY-NC-ND

Passivity-Preserving, Balancing-Based Model Reduction for Interconnected SystemsFinal publisher's version, 581 KBLicence: CC BY-NC-ND

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title = "Passivity-Preserving, Balancing-Based Model Reduction for Interconnected Systems",

abstract = "This paper proposes a balancing-based model reduction approach for an interconnection of passive dynamic subsystems. This approach preserves the passivity and stability of both the subsystems and the interconnected system. Hereto, one Linear Matrix Inequality (LMI) per subsystem and a single Lyapunov equation for the entire interconnected system needs to be solved, the latter of which warrants the relevance of the reduction of the subsystems for the accurate reduction of the interconnected system, while preserving the modularity of the reduction approach. In a numerical example from structural dynamics, the presented approach displays superior accuracy with respect to an approach in which the individual subsystems are reduced independently.",

keywords = "Balanced Truncation, Interconnected Systems, Model Reduction, Passivity",

author = "Luuk Poort and Bart Besselink and Fey, {Rob H.B.} and {van de Wouw}, Nathan",

note = "Publisher Copyright: Copyright {\textcopyright} 2023 The Authors. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/); 22nd IFAC World Congress ; Conference date: 09-07-2023 Through 14-07-2023",

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language = "English",

series = "IFAC-PapersOnLine",

publisher = "Elsevier",

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booktitle = "IFAC-PapersOnLine",

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Poort, L, Besselink, B, Fey, RHB & van de Wouw, N 2023, Passivity-Preserving, Balancing-Based Model Reduction for Interconnected Systems. in H Ishii, Y Ebihara, J Imura & M Yamakita (eds), IFAC-PapersOnLine. 2 edn, IFAC-PapersOnLine, no. 2, vol. 56, Elsevier, pp. 4240-4245, 22nd IFAC World Congress, Yokohama, Japan, 09/07/2023. https://doi.org/10.1016/j.ifacol.2023.10.1782

Passivity-Preserving, Balancing-Based Model Reduction for Interconnected Systems. / Poort, Luuk; Besselink, Bart; Fey, Rob H.B. et al.
IFAC-PapersOnLine. ed. / Hideaki Ishii; Yoshio Ebihara; Jun-ichi Imura; Masaki Yamakita. 2. ed. Elsevier, 2023. p. 4240-4245 (IFAC-PapersOnLine; Vol. 56, No. 2).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Passivity-Preserving, Balancing-Based Model Reduction for Interconnected Systems

AU - Poort, Luuk

AU - Besselink, Bart

AU - Fey, Rob H.B.

AU - van de Wouw, Nathan

PY - 2023/7/1

Y1 - 2023/7/1

N2 - This paper proposes a balancing-based model reduction approach for an interconnection of passive dynamic subsystems. This approach preserves the passivity and stability of both the subsystems and the interconnected system. Hereto, one Linear Matrix Inequality (LMI) per subsystem and a single Lyapunov equation for the entire interconnected system needs to be solved, the latter of which warrants the relevance of the reduction of the subsystems for the accurate reduction of the interconnected system, while preserving the modularity of the reduction approach. In a numerical example from structural dynamics, the presented approach displays superior accuracy with respect to an approach in which the individual subsystems are reduced independently.

AB - This paper proposes a balancing-based model reduction approach for an interconnection of passive dynamic subsystems. This approach preserves the passivity and stability of both the subsystems and the interconnected system. Hereto, one Linear Matrix Inequality (LMI) per subsystem and a single Lyapunov equation for the entire interconnected system needs to be solved, the latter of which warrants the relevance of the reduction of the subsystems for the accurate reduction of the interconnected system, while preserving the modularity of the reduction approach. In a numerical example from structural dynamics, the presented approach displays superior accuracy with respect to an approach in which the individual subsystems are reduced independently.

KW - Balanced Truncation

KW - Interconnected Systems

KW - Model Reduction

KW - Passivity

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M3 - Conference contribution

AN - SCOPUS:85184957917

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BT - IFAC-PapersOnLine

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A2 - Ebihara, Yoshio

A2 - Imura, Jun-ichi

A2 - Yamakita, Masaki

PB - Elsevier

T2 - 22nd IFAC World Congress

Y2 - 9 July 2023 through 14 July 2023

ER -

Passivity-Preserving, Balancing-Based Model Reduction for Interconnected Systems

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