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Article information
Input-output analysis and control design applied to a linear model of spatially
developing flows
| Authors: |
Bagheri, S.,
Hoepffner, J.P.J.,
Schmid, P.J.,
Henningson, D.S.H.,
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| Type: |
Article |
| Pubstate: |
Published |
| Journal: |
Appl. Mech. Reviews |
| Volume: |
62(2)
020803 |
| Year: |
2009 |
Abstract
This review presents a framework for the input-output analysis and
control design for fluid dynamical systems using examples applied to
the linear complex Ginzburg-Landau equation. Input-output analysis
generalizes hydrodynamic stability analysis by considering a
finite-time horizon over which energy amplification, driven by a
specific input (actuator) and measured at a specific output
(sensor), is observed. In the control design the loop is closed
between the output and the input through a feedback gain. Methods
from control theory are reviewed and applied to the Ginzburg-Landau
equation in a manner that is readily generalized to fluid mechanics
problems, thus giving a fluid mechanics audience an accessible
introduction to the subject.
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