Theoretical and Computational Fluid Dynamics

, Volume 25, Issue 1, pp 195–207

Control of a separated boundary layer: reduced-order modeling using global modes revisited

  • Uwe Ehrenstein
  • Pierre-Yves Passaggia
  • Franois Gallaire
Original Article

DOI: 10.1007/s00162-010-0195-5

Cite this article as:
Ehrenstein, U., Passaggia, PY. & Gallaire, F. Theor. Comput. Fluid Dyn. (2011) 25: 195. doi:10.1007/s00162-010-0195-5

Abstract

The possibility of model reduction using global modes is readdressed, aiming at the controlling of a globally unstable separation bubble induced by a bump geometry. A combined oblique and orthogonal projection approach is proposed to design an estimator and controller in a Riccati-type feedback setting. An input–output criterion is used to appropriately select the modes of the projection basis. The full-state linear instability dynamics is shown to be successfully controlled by the feedback coupling with controllers of moderate degrees of freedom.

Keywords

Separated boundary layer Model reduction Control 

Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  • Uwe Ehrenstein
    • 1
  • Pierre-Yves Passaggia
    • 1
  • Franois Gallaire
    • 2
  1. 1.IRPHÉ UMR 6594Aix-Marseille Université, CNRSMarseille Cedex 13France
  2. 2.Laboratoire J. A. DieudonnéUniversité de Nice-Sophia AntipolisNice Cedex 02France