Journal article

Feedback control of vortex shedding using a resolvent-based modelling approach

Bo Jin, Simon J Illingworth, Richard D Sandberg

Journal of Fluid Mechanics | Cambridge University Press (CUP) | Published : 2020

Abstract

An investigation of optimal feedback controllers’ performance and robustness is carried out for vortex shedding behind a two-dimensional cylinder at low Reynolds numbers. To facilitate controller design, we present an efficient modelling approach in which we utilise the resolvent operator to recast the linearised Navier–Stokes equations into an input–output form from which frequency responses can be computed. The difficulty of applying modern control design techniques to high-dimensional flow systems is overcome by using low-order models identified from frequency responses. These low-order models are used to design optimal controllers using H∞ loop shaping. Two distinct single-input single-o..

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