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

Team Bart De Schutter

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

6 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	Proceedings of the 2017 IEEE 56th Annual Conference on Decision and Control (CDC 2017)
Editors	A Astolfi et al
Place of Publication	Piscataway, NJ, USA
Publisher	IEEE
Pages	3793-3798
ISBN (Electronic)	978-150902873-3
DOIs	https://doi.org/10.1109/CDC.2017.8264217
Publication status	Published - 2017
Event	CDC 2017: 56th IEEE Annual Conference on Decision and Control - Melbourne, Australia Duration: 12 Dec 2017 → 15 Dec 2017 http://cdc2017.ieeecss.org/

Conference

Conference	CDC 2017: 56th IEEE Annual Conference on Decision and Control
Country/Territory	Australia
City	Melbourne
Period	12/12/17 → 15/12/17
Other	The CDC is recognized as the premier scientific and engineering conference dedicated to the advancement of the theory and practice of systems and control. The CDC annually brings together an international community of researchers and practitioners in the field of automatic control to discuss new research results, perspectives on future developments, and innovative applications relevant to decision making, systems and control, and related areas.
Internet address	http://cdc2017.ieeecss.org/

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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.",

author = "B. Besselink and A. Chaillet and {Van De Wouw}, N.",

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doi = "10.1109/CDC.2017.8264217",

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booktitle = "Proceedings of the 2017 IEEE 56th Annual Conference on Decision and Control (CDC 2017)",

publisher = "IEEE",

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

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Besselink, B, Chaillet, A & Van De Wouw, N 2017, Model reduction for linear delay systems using a delay-independent balanced truncation approach. in A Astolfi et al (ed.), Proceedings of the 2017 IEEE 56th Annual Conference on Decision and Control (CDC 2017). IEEE, Piscataway, NJ, USA, pp. 3793-3798, CDC 2017: 56th IEEE Annual Conference on Decision and Control, 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.
Proceedings of the 2017 IEEE 56th Annual Conference on Decision and Control (CDC 2017). ed. / A Astolfi et al. Piscataway, NJ, USA: IEEE, 2017. p. 3793-3798.

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › 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.

PY - 2017

Y1 - 2017

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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M3 - Conference contribution

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EP - 3798

BT - Proceedings of the 2017 IEEE 56th Annual Conference on Decision and Control (CDC 2017)

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PB - IEEE

CY - Piscataway, NJ, USA

T2 - CDC 2017: 56th IEEE Annual Conference on Decision and Control

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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