Designing a Feedback Vorticity Control System for the Flow Past a Circular Cylinder

Abstract

In this work a novel approach for the feedback control of vorticity behind an immersed circular cylinder is considered. The technique is based on determining the measurement points behind the cylinder for vorticity magnitude values and injection points on the cylinder for the control input, applying a significantly exciting input actuation, collecting measurement data to estimate the dynamical model of the flow field using system identification and finally designing a feedback control system using the dynamical model obtained. Numerical simulation results show that the designed feedback control system can reduce the vorticity magnitude values to a desired reference level.