Model reduction for linear delay systems using a delay-independent balanced truncation approach

B. Besselink; A. Chaillet; N. van de Wouw

doi:10.1109/CDC.2017.8264217

Model reduction for linear delay systems using a delay-independent balanced truncation approach

B. Besselink, A. Chaillet, N. van de Wouw

Dynamics and Control

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

7 Citations (Scopus)

Abstract

A model reduction approach for asymptotically stable linear delay-differential equations is presented in this paper. Specifically, a balancing approach is developed on the basis of energy functionals that provide (bounds on) a measure of energy related to observability and controllability, respectively. The reduced-order model derived in this way is again a delay-differential equation, such that the method is structure preserving. In addition, asymptotic stability is preserved and an a priori bound on the reduction error is derived, providing a measure of accuracy of the reduction. The results are illustrated by means of application on an example.

Original language	English
Title of host publication	2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	3793-3798
Number of pages	6
ISBN (Electronic)	978-1-5090-2873-3
ISBN (Print)	978-1-5090-2874-0
DOIs	https://doi.org/10.1109/CDC.2017.8264217
Publication status	Published - 18 Jan 2018
Event	56th IEEE Conference on Decision and Control (CDC 2017) - Melbourne, VIC, Australia, Melbourne, Australia Duration: 12 Dec 2017 → 15 Dec 2017 Conference number: 56 http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=8253407

Conference

Conference	56th IEEE Conference on Decision and Control (CDC 2017)
Abbreviated title	CDC 2017
Country/Territory	Australia
City	Melbourne
Period	12/12/17 → 15/12/17
Internet address	http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=8253407

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10.1109/CDC.2017.8264217

Cite this

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title = "Model reduction for linear delay systems using a delay-independent balanced truncation approach",

abstract = "A model reduction approach for asymptotically stable linear delay-differential equations is presented in this paper. Specifically, a balancing approach is developed on the basis of energy functionals that provide (bounds on) a measure of energy related to observability and controllability, respectively. The reduced-order model derived in this way is again a delay-differential equation, such that the method is structure preserving. In addition, asymptotic stability is preserved and an a priori bound on the reduction error is derived, providing a measure of accuracy of the reduction. The results are illustrated by means of application on an example.",

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note = "56th IEEE Conference on Decision and Control (CDC 2017), CDC 2017 ; Conference date: 12-12-2017 Through 15-12-2017",

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Besselink, B, Chaillet, A & van de Wouw, N 2018, Model reduction for linear delay systems using a delay-independent balanced truncation approach. in 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017. Institute of Electrical and Electronics Engineers, Piscataway, pp. 3793-3798, 56th IEEE Conference on Decision and Control (CDC 2017), Melbourne, Australia, 12/12/17. https://doi.org/10.1109/CDC.2017.8264217

Model reduction for linear delay systems using a delay-independent balanced truncation approach. / Besselink, B.; Chaillet, A.; van de Wouw, N.
2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017. Piscataway: Institute of Electrical and Electronics Engineers, 2018. p. 3793-3798.

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

TY - GEN

T1 - Model reduction for linear delay systems using a delay-independent balanced truncation approach

AU - Besselink, B.

AU - Chaillet, A.

AU - van de Wouw, N.

N1 - Conference code: 56

PY - 2018/1/18

Y1 - 2018/1/18

N2 - A model reduction approach for asymptotically stable linear delay-differential equations is presented in this paper. Specifically, a balancing approach is developed on the basis of energy functionals that provide (bounds on) a measure of energy related to observability and controllability, respectively. The reduced-order model derived in this way is again a delay-differential equation, such that the method is structure preserving. In addition, asymptotic stability is preserved and an a priori bound on the reduction error is derived, providing a measure of accuracy of the reduction. The results are illustrated by means of application on an example.

AB - A model reduction approach for asymptotically stable linear delay-differential equations is presented in this paper. Specifically, a balancing approach is developed on the basis of energy functionals that provide (bounds on) a measure of energy related to observability and controllability, respectively. The reduced-order model derived in this way is again a delay-differential equation, such that the method is structure preserving. In addition, asymptotic stability is preserved and an a priori bound on the reduction error is derived, providing a measure of accuracy of the reduction. The results are illustrated by means of application on an example.

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U2 - 10.1109/CDC.2017.8264217

DO - 10.1109/CDC.2017.8264217

M3 - Conference contribution

AN - SCOPUS:85046259972

SN - 978-1-5090-2874-0

SP - 3793

EP - 3798

BT - 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway

T2 - 56th IEEE Conference on Decision and Control (CDC 2017)

Y2 - 12 December 2017 through 15 December 2017

ER -

Model reduction for linear delay systems using a delay-independent balanced truncation approach

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