Feedback Control of a Cylinder Wake Low-Dimensional Model

Abstract

Nomenclature Ak = time-dependent coefŽ cient of the kth proper orthogonal decompositionmode Aest k = estimation of Ak B = matrix containing the bk coefŽ cients bk = coefŽ cients associatedwith the control input ck i j = coefŽ cients of the nonlinear function gk fa = control input resulting form external forcing of the cylinder gk = nonlinear function of the time-dependent low-dimensionalmodes J = Jacobian of the open-loop low-dimensionalmodel Jc = closed-loop Jacobian K p = proportional gain of the linear feedback controller