### Session EJ: Minisymposium: Reduced-Order Modeling for Feedback Flow Control

4:10 PM–6:46 PM, Sunday, November 20, 2005
Hilton Chicago Room: Williford C

Chair: Dietmar Rempfer, Illinois Institute of Technology

Abstract ID: BAPS.2005.DFD.EJ.4

### Abstract: EJ.00004 : Control-oriented models of channel flow

5:28 PM–5:54 PM

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#### Author:

Clarence Rowley
(Princeton University)

This talk addresses low-dimensional models of the transitional flow through a plane channel. Recent improvements to the technique of proper orthogonal decomposition (POD) and Galerkin projection are reviewed, including the use of carefully-chosen inner products, and the relation of POD/Galerkin to balanced truncation, a method commonly used for linear systems. The method naturally incorporates control inputs, and when applied to a linearized plane channel flow with streamwise-constant perturbations, reduced-order models obtained from balanced truncation produce an order of magnitude smaller error in the $H_\infty$ norm, compared to the standard POD procedure using the same number of modes.

To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2005.DFD.EJ.4