Actuation models and dissipative control in empirical Galerkin models of fluid flows

A representation of actuation effects is developed for low-order empirical Galerkin models of incompressible fluid flows. These actuation models fill a missing link and, indeed, provide a key enabler towards feedback design in flow control utilizing empirical Galerkin models. A flow control strategy is proposed based on the extended flow models and on the design of dissipative feedback control. This strategy is successfully applied to benchmark flow control problems involving vortex shedding behind a circular cylinder.