Michael Hinze, Daniel Wachsmuth:

Controller design for the Navier-Stokes system. Part I: Concept and numerical results

We present a widely applicable construction recipe for closed-loop feedback controllers of nonlinear dynamical systems. Its basic idea consists in instantaneously solving certain optimization problems for the discrete-in-time dynamical system. Easy incorporation of control constraints is one key feature of the recipe. The instationary Navier-Stokes equations serve as model application. In the first part of the work we introduce the construction recipe and present numerical results for several closed-loop feedback control laws derived with from the recipe. The second part of the work contains the stability analysis.

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