Model reduction and control of a separating boundary-layer flow

U. Ehrenstein; P.-Y.  Passaggia; F.  Gallaire

doi:10.1051/eucass/201203471

All issues

Volume 3 (2012)

10.1051/eucass/201203471

Abstract

Open Access

Issue		Volume 3, 2012 Progress in Flight Physics


Page(s)		471 - 482
Section		Chapter Six. Flow Control
DOI		https://doi.org/10.1051/eucass/201203471
Published online		29 January 2013

Progress in Flight Physics 3 (2012) 471-482

Model reduction and control of a separating boundary-layer flow

U. Ehrenstein¹, P.-Y. Passaggia¹ and F. Gallaire²

¹ IRPHE, Aix-Marseille Université ‚ Rue Joliot-Curie 49, F-13384 Marseille Cedex 13, France
² Lab. J. A. Dieudonné, Université‚ de Nice-Sophia Antipolis, Parc Valrose, F-06108 Nice Cedex 02, France

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. The dimension of the reduced-order model is optimized using an input-output criterion. The full-state linear instability dynamics is shown to be successfully controlled by the feedback coupling with controllers of moderate degrees of freedom.