NONLINEAR FLOW CONTROL USING A LOW DIMENSIONAL GALERKIN MODEL UDC 532.517:681.5

Abstract. We propose a nonlinear flow control strategy using a low-dimensional Galerkin model. This control design is successfully applied to the stabilization of the flow around a circular cylinder by a transverse local volume force. This wake stabilization problem is a well-established flow control benchmark. A state estimation is needed, since the information of the flow is restricted to one or few measurement points. The state estimation is used to calculate control laws such as input-output linearization, Lyapunov-base and backstepping controllers. These model-based strategies of nonlinear controller design are tested in the full plant, a direct Navier-Stokes simulation of the wake flow