Thesis / Dissertation

Linear modelling and optimal feedback control of bluff body flows

Bo Jin, Simon Illingworth (ed.)

Published : 2021

Abstract

The thesis concerns linear feedback control of vortex shedding behind a two-dimensional cylinder at low Reynolds numbers, with a particular focus on the linear modelling of flow dynamics and the placement of sensors and actuators. To accommodate high-dimensionality, we first propose an efficient modelling approach in which the linearised Navier-Stokes equations are recast into an input-output form (i.e. resolvent operator) from which frequency responses can be computed. Low-order models can thus be identified from frequency responses for optimal feedback control design using H-infinity loop shaping. We investigate two distinct single-input-single-output setups: i) a pair of body forces near ..

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