Control of a separated boundary layer: reduced-order modeling using global modes revisited
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- Ehrenstein, U., Passaggia, PY. & Gallaire, F. Theor. Comput. Fluid Dyn. (2011) 25: 195. doi:10.1007/s00162-010-0195-5
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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.