A snapshot decomposition method for reduced order modeling and boundary feedback control

R. C. Camphouse, J. H. Myatt, R. F. Schmit, Mark N Glauser, J. M. Ausseur, M. Y. Andino, R. D. Wallace

Research output: Chapter in Book/Report/Conference proceedingConference contribution

21 Citations (Scopus)

Abstract

In this paper, we develop a reduced basis construction method that allows for separate consideration of baseline and actuated dynamics in the reduced modeling process. A prototype initial boundary value problem, governed by the two-dimensional Burgers equation, is formulated to demonstrate the utility of the method in a boundary control setting. Comparisons are done between reduced and full order solutions under open-loop boundary actuation to illustrate advantages gained by separate consideration of actuated dynamics. A tracking control problem is specified using a linear quadratic regulator formulation. Comparisons of feedback control effectiveness are done to demonstrate benefits in control effectiveness obtained from separate consideration of actuated dynamics during model reduction.

Original languageEnglish (US)
Title of host publication4th AIAA Flow Control Conference
StatePublished - 2008
Event4th AIAA Flow Control Conference - Seattle, WA, United States
Duration: Jun 23 2008Jun 26 2008

Other

Other4th AIAA Flow Control Conference
CountryUnited States
CitySeattle, WA
Period6/23/086/26/08

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Feedback control
Decomposition
Boundary value problems
Dynamic models

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Aerospace Engineering
  • Control and Systems Engineering

Cite this

Camphouse, R. C., Myatt, J. H., Schmit, R. F., Glauser, M. N., Ausseur, J. M., Andino, M. Y., & Wallace, R. D. (2008). A snapshot decomposition method for reduced order modeling and boundary feedback control. In 4th AIAA Flow Control Conference [2008-4195]

A snapshot decomposition method for reduced order modeling and boundary feedback control. / Camphouse, R. C.; Myatt, J. H.; Schmit, R. F.; Glauser, Mark N; Ausseur, J. M.; Andino, M. Y.; Wallace, R. D.

4th AIAA Flow Control Conference. 2008. 2008-4195.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Camphouse, RC, Myatt, JH, Schmit, RF, Glauser, MN, Ausseur, JM, Andino, MY & Wallace, RD 2008, A snapshot decomposition method for reduced order modeling and boundary feedback control. in 4th AIAA Flow Control Conference., 2008-4195, 4th AIAA Flow Control Conference, Seattle, WA, United States, 6/23/08.
Camphouse RC, Myatt JH, Schmit RF, Glauser MN, Ausseur JM, Andino MY et al. A snapshot decomposition method for reduced order modeling and boundary feedback control. In 4th AIAA Flow Control Conference. 2008. 2008-4195
Camphouse, R. C. ; Myatt, J. H. ; Schmit, R. F. ; Glauser, Mark N ; Ausseur, J. M. ; Andino, M. Y. ; Wallace, R. D. / A snapshot decomposition method for reduced order modeling and boundary feedback control. 4th AIAA Flow Control Conference. 2008.
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