Loading…
Controller design for the Navier-Stokes system. Part I: Concept & numerical results
Hinze, Michael; Wachsmuth, Daniel
Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
We 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.
