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

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

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

18 Scopus citations

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
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
ISBN (Print)9781563479427
DOIs
StatePublished - Jan 1 2008

Publication series

Name4th AIAA Flow Control Conference

ASJC Scopus subject areas

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

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    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] (4th AIAA Flow Control Conference). American Institute of Aeronautics and Astronautics Inc.. https://doi.org/10.2514/6.2008-4195