Closed-loop control of cavity flow using a reduced-order model based on balanced truncation

A. Barbagallo; D. Sipp; P. J. Schmid

doi:10.1007/978-90-481-3723-7_74

Closed-loop control of cavity flow using a reduced-order model based on balanced truncation

A. Barbagallo, D. Sipp, P. J. Schmid

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

Abstract

The application of control tools to fluid problems often requires model reduction to correctly capture the input-output behavior of the associated initial-value problem. In this study a model combining global modes (for the unstable subspace) and balanced modes (for the stable subspace) is considered.We show that this model succeeds in removing the global instability of the flow over an incompressible cavity. Comparison with other reduced models clearly demonstrates the superiority of this approach for control problems. © 2010 Springer Science+Business Media B.V.

Original language	English (US)
Title of host publication	IUTAM Bookseries
Publisher	Springer Verlag
Pages	457-460
Number of pages	4
ISBN (Print)	9789048137220
DOIs	https://doi.org/10.1007/978-90-481-3723-7_74
State	Published - Jan 1 2010
Externally published	Yes

ASJC Scopus subject areas

Mechanics of Materials
General Materials Science
Mechanical Engineering

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10.1007/978-90-481-3723-7_74

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abstract = "The application of control tools to fluid problems often requires model reduction to correctly capture the input-output behavior of the associated initial-value problem. In this study a model combining global modes (for the unstable subspace) and balanced modes (for the stable subspace) is considered.We show that this model succeeds in removing the global instability of the flow over an incompressible cavity. Comparison with other reduced models clearly demonstrates the superiority of this approach for control problems. {\textcopyright} 2010 Springer Science+Business Media B.V.",

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Y1 - 2010/1/1

N2 - The application of control tools to fluid problems often requires model reduction to correctly capture the input-output behavior of the associated initial-value problem. In this study a model combining global modes (for the unstable subspace) and balanced modes (for the stable subspace) is considered.We show that this model succeeds in removing the global instability of the flow over an incompressible cavity. Comparison with other reduced models clearly demonstrates the superiority of this approach for control problems. © 2010 Springer Science+Business Media B.V.

AB - The application of control tools to fluid problems often requires model reduction to correctly capture the input-output behavior of the associated initial-value problem. In this study a model combining global modes (for the unstable subspace) and balanced modes (for the stable subspace) is considered.We show that this model succeeds in removing the global instability of the flow over an incompressible cavity. Comparison with other reduced models clearly demonstrates the superiority of this approach for control problems. © 2010 Springer Science+Business Media B.V.

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UR - http://www.scopus.com/inward/record.url?scp=84862286459&partnerID=8YFLogxK

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DO - 10.1007/978-90-481-3723-7_74

M3 - Conference contribution

SN - 9789048137220

SP - 457

EP - 460

BT - IUTAM Bookseries

PB - Springer Verlag

ER -

Closed-loop control of cavity flow using a reduced-order model based on balanced truncation

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