On the distributed control of spatially invariant systems

Seddik M. Djouadi; Jin Dong

doi:10.1109/CDC.2015.7402286

On the distributed control of spatially invariant systems

Seddik M. Djouadi, Jin Dong

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

4 Scopus citations

Abstract

In this paper, the optimal H2 control problem for spatially invariant systems is considered. The framework adopted is borrowed from the work pioneered by Voulgaris et al. In particular, the H2 optimal control problem is solved via the computation of an orthogonal projection of a tensor Hilbert space onto a particular subspace. Next, the optimal H2 decentralized control problem is solved by computing an orthogonal projection on a class of Youla parameters with a decentralized structure. The latter uses Riesz projections after invoking a particular L2-basis.

Original language	English
Title of host publication	54rd IEEE Conference on Decision and Control,CDC 2015
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	549-554
Number of pages	6
ISBN (Electronic)	9781479978861
DOIs	https://doi.org/10.1109/CDC.2015.7402286
State	Published - Feb 8 2015
Externally published	Yes
Event	54th IEEE Conference on Decision and Control, CDC 2015 - Osaka, Japan Duration: Dec 15 2015 → Dec 18 2015

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	54rd IEEE Conference on Decision and Control,CDC 2015
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	54th IEEE Conference on Decision and Control, CDC 2015
Country/Territory	Japan
City	Osaka
Period	12/15/15 → 12/18/15

Funding

Funders	Funder number
National Science Foundation	1239366

Access to Document

10.1109/CDC.2015.7402286

Cite this

Djouadi, S. M., & Dong, J. (2015). On the distributed control of spatially invariant systems. In 54rd IEEE Conference on Decision and Control,CDC 2015 (pp. 549-554). Article 7402286 (Proceedings of the IEEE Conference on Decision and Control; Vol. 54rd IEEE Conference on Decision and Control,CDC 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2015.7402286

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author = "Djouadi, {Seddik M.} and Jin Dong",

note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; 54th IEEE Conference on Decision and Control, CDC 2015 ; Conference date: 15-12-2015 Through 18-12-2015",

year = "2015",

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day = "8",

doi = "10.1109/CDC.2015.7402286",

language = "English",

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Djouadi, SM & Dong, J 2015, On the distributed control of spatially invariant systems. in 54rd IEEE Conference on Decision and Control,CDC 2015., 7402286, Proceedings of the IEEE Conference on Decision and Control, vol. 54rd IEEE Conference on Decision and Control,CDC 2015, Institute of Electrical and Electronics Engineers Inc., pp. 549-554, 54th IEEE Conference on Decision and Control, CDC 2015, Osaka, Japan, 12/15/15. https://doi.org/10.1109/CDC.2015.7402286

On the distributed control of spatially invariant systems. / Djouadi, Seddik M.; Dong, Jin.
54rd IEEE Conference on Decision and Control,CDC 2015. Institute of Electrical and Electronics Engineers Inc., 2015. p. 549-554 7402286 (Proceedings of the IEEE Conference on Decision and Control; Vol. 54rd IEEE Conference on Decision and Control,CDC 2015).

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

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AU - Djouadi, Seddik M.

AU - Dong, Jin

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N2 - In this paper, the optimal H2 control problem for spatially invariant systems is considered. The framework adopted is borrowed from the work pioneered by Voulgaris et al. In particular, the H2 optimal control problem is solved via the computation of an orthogonal projection of a tensor Hilbert space onto a particular subspace. Next, the optimal H2 decentralized control problem is solved by computing an orthogonal projection on a class of Youla parameters with a decentralized structure. The latter uses Riesz projections after invoking a particular L2-basis.

AB - In this paper, the optimal H2 control problem for spatially invariant systems is considered. The framework adopted is borrowed from the work pioneered by Voulgaris et al. In particular, the H2 optimal control problem is solved via the computation of an orthogonal projection of a tensor Hilbert space onto a particular subspace. Next, the optimal H2 decentralized control problem is solved by computing an orthogonal projection on a class of Youla parameters with a decentralized structure. The latter uses Riesz projections after invoking a particular L2-basis.

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M3 - Conference contribution

AN - SCOPUS:84962018717

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 549

EP - 554

BT - 54rd IEEE Conference on Decision and Control,CDC 2015

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 54th IEEE Conference on Decision and Control, CDC 2015

Y2 - 15 December 2015 through 18 December 2015

ER -

On the distributed control of spatially invariant systems

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