Author(s) :
Michael Hinze
,
Daniel Wachsmuth
Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 11-2003
MSC 2000
- 49J20 Optimal control problems involving partial differential equations
-
93B52 Feedback control
Abstract :
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.
Keywords :
Instantaneous control, Closed loop control, Navier-Stokes equations, control constraints