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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

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.