Talks and Poster Presentations (with Proceedings-Entry):
T. Utz, T. Meurer, A. Kugi:
"Motion Planning for the Heat Equation with Radiation Boundary Conditions based on Finite Difference Semi-Discretizations";
Talk: IFAC Symposium on Nonlinear Control Systems,
Pretoria, Südafrika (invited);
08-21-2007
- 08-24-2007; in: "Proceedings of the 7th IFAC Symposium on Nonlinear Control Systems",
(2007),
601
- 606.
English abstract:
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.
Created from the Publication Database of the Vienna University of Technology.