A three-dimensional Galerkin model is used in feedback design to regulate the perturbation kinetic energy in the flow around a cylinder. The objective may vary from stabilization in order to reduce drag to mixing enhancement. The Landau model [1] includes an oscillatory state pair and a shift mode, exchanging energy with the mean flow. Given the model's simplicity, it is essential to maintain closed-loop dynamics close to the system's natural dynamic range which is represented by an invariant manifold and a natural frequency, adding a design constraint addressed in this note.
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