Input-output analysis and control design applied to a linear model of spatially developing flows

Abstract : This review presents a framework for the input-output analysis, model reduction, and control design for fluid dynamical systems using examples applied to the linear complex Ginzburg-Landau equation. Major advances in hydrodynamics stability, such as global modes in spatially inhomogeneous systems and transient growth of non-normal systems, are reviewed. Input-output analysis generalizes hydrodynamic stability analysis by considering a finite-time horizon over which energy amplification, driven by a specific input (disturbances/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. Model reduction approximates the system with a low-order model, making modern control design computationally tractable for systems of large dimensions. 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. © 2009 by ASME.
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Applied Mechanics Reviews, American Society of Mechanical Engineers, 2009, 62 (2), pp.020803. 〈10.1115/1.3077635〉
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Soumis le : vendredi 4 juillet 2014 - 13:39:29
Dernière modification le : jeudi 12 avril 2018 - 01:49:07

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S. Bagheri, D.S. Henningson, J. Hœpffner, Peter Schmid. Input-output analysis and control design applied to a linear model of spatially developing flows. Applied Mechanics Reviews, American Society of Mechanical Engineers, 2009, 62 (2), pp.020803. 〈10.1115/1.3077635〉. 〈hal-01002594〉

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