Optimizing a trajectory of any unsteady problem in practice requires a feedback strategy in order to attenuate disturbances, e.g., external influences or unmodeled dynamics, that would lead to a deviation from the desired, and possibly optimized, path. In this talk, we consider the unsteady incompressible 2D Navier-Stokes equations and discuss their feedback stabilization using Riccati-type controllers based in the Dirichlet boundary control problem for the flow field. Numerical methods to solve the resulting large-scale, descriptor-type algebraic Riccati equations will be discussed. Their performance will be illustrated by numerical experiments.

Referent: Professor Dr. Peter Benner, Technische Universität Chemnitz