Publications in Scientific Journals:
B. Schörkhuber, T. Meurer, A. Jüngel:
"Flatness of Semilinear Parabolic PDEs - A Generalized Cauchy-Kowalevski Approach";
IEEE Transactions on Automatic Control,
A generalized Cauchy-Kowalevski approach is
proposed for flatness-based trajectory planning for boundary controlled
semilinear systems of partial differential equations (PDEs)
in a one-dimensional spatial domain. For this, the ansatz presented
in "Trajectory planning for boundary controlled parabolic PDEs
with varying parameters on higher-dimensional spatial domains"
(T. Meurer and A. Kugi, IEEE Trans. Autom. Control, vol. 54, no,
8, pp. 1854-1868, Aug. 2009) using formal integration is generalized
towards a unified design framework, which covers linear and
semilinear PDEs including rather broad classes of nonlinearities
arising in applications. In addition, an efficient semi-numerical
solution of the implicit state and input parametrizations is developed
and evaluated in different scenarios. Simulation results
for various types of nonlinearities and a tubular reactor model
described by a system of semilinear reaction-diffusion-convection
equations illustrate the applicability of the proposed method.
Siehe englisches Abstract.
Nonlinear control systems; trajectory planning
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
Created from the Publication Database of the Vienna University of Technology.