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Turbulent drag reduction by feedback: a Wiener filtering approach

Abstract : In an attempt to devise control laws for reducing drag in turbulent wall ows, modern control theory has recently been employed for the design of linear controllers [1], state estimators [2], and compensators [3; 4]. These approaches led to encouraging results, revealing the potential of linear control in targeting significant dynamics in wall turbulence [5]. All the aforementioned works, however, rely on an approximate statespace representation of the system dynamics, obtained by linearization of the governing equations about a base ow profile. The state-space formulation reduces the compensator design problem to the solution of two matrix Riccati equations, a procedure that becomes computationally cumbersome for high-dimensional systems. Effects of nonlinearities and modeling errors are accounted for by introducing state and measurement noises with known (approximately modeled) statistics.
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https://hal-polytechnique.archives-ouvertes.fr/hal-01053026
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Submitted on : Tuesday, July 29, 2014 - 2:01:59 PM
Last modification on : Thursday, March 5, 2020 - 6:29:43 PM

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Fulvio Martinelli, Maurizio Quadrio, P. Luchini. Turbulent drag reduction by feedback: a Wiener filtering approach. 12th EUROMECH European Turbulence Conference, Sep 2009, Marburg, Germany. pp.241-246, ⟨10.1007/978-3-642-03085-7_59⟩. ⟨hal-01053026⟩

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