Michael Hinze, Daniel Wachsmuth:

Fast closed loop control of the Navier-Stokes system

We present a construction recipe for closed-loop feedback control of the time-dependent Navier-Stokes system. 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. We state stabilizing properties of the controllers which we confirm by numerical tests.

Home