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Article
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. |
| Document Type: |
Article |
| Pubstate: |
Published |
| Journal: |
Appl. Mech. Reviews |
| Volume: |
62(2)
020803 |
| Year: |
2009 |
AbstractThis 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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