Hinze, MichaelWachsmuth, Daniel2021-12-172021-12-172003-06-122197-8085https://depositonce.tu-berlin.de/handle/11303/15506http://dx.doi.org/10.14279/depositonce-14279We present a widely applicable construction recipe for closed-loop feedback controllers of nonlinear dynamical systems. Its basic idea consists in approximately solving certain instantaneous 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 basic construction recipes and present numerical results for several closed-loop feedback control laws derived with the recipe. The stability analysis is contained in the second part of the work.en510 Mathematikinstantaneous controlclosed loop controlNavier-Stokes equationscontrol constraintsController design for the Navier-Stokes system. Part I: Concept & numerical resultsResearch Paper