Vorträge und Posterpräsentationen (mit Tagungsband-Eintrag):
T. Utz, T. Meurer, A. Kugi:
"Motion Planning for the Heat Equation with Radiation Boundary Conditions based on Finite Difference Semi-Discretizations";
Vortrag: IFAC Symposium on Nonlinear Control Systems,
Pretoria, Südafrika (eingeladen);
21.08.2007
- 24.08.2007; in: "Proceedings of the 7th IFAC Symposium on Nonlinear Control Systems",
(2007),
S. 601
- 606.
Kurzfassung englisch:
In this contribution, motion planning for the temperature distribution in a 1-dimensional slab with radiation boundary conditions is considered. For this, the infinite-dimensional model of the slab is spatially discretized using finite differences. It is shown that the discretized finite-dimensional model is flat and hence serves as a basis for a feedforward control design. For the heat equation with constant parameters, it is shown that the obtained feedforward control converges to the feedforward control for the infinite-dimensional problem in the limit as the discretization step size tends to zero.
For the heat equation with temperature dependent parameters, simulation results illustrate the convergence behavior.