Generalized Mean-Field Model for Flow Control Using a Continuous Mode Interpolation

Abstract

In the current study, a generalization of POD Galerkin models is proposed targeting strategies for experimental feedback flow control. For practical reasons, that model should incorporate a range of flow operating conditions with small number of degrees of freedom. Standard POD Galerkin models are challenged by the over-optimization at one operating condition (Deane et al. 1991). Recent successful developments to extend the dynamic range require additional modes. This leads to a control design which is less online-capable and less robust. These side constraints for control-oriented ROMs are taken into account by a ’least-dimensional’ Galerkin approximation based on a novel technique for continuous