<div class="csl-bib-body">
<div class="csl-entry">Schörkhuber, B., Meurer, T., & Jüngel, A. (2013). Flatness of Semilinear Parabolic PDEs - A Generalized Cauchy-Kowalevski Approach. <i>IEEE Transactions on Automatic Control</i>, <i>58</i>(9), 2277–2291. https://doi.org/10.1109/tac.2013.2256013</div>
</div>
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dc.identifier.issn
0018-9286
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/155477
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dc.description.abstract
Siehe englisches Abstract.
de
dc.description.abstract
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.
en
dc.language.iso
en
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dc.publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
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dc.relation.ispartof
IEEE Transactions on Automatic Control
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dc.subject
Electrical and Electronic Engineering
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dc.subject
Computer Science Applications
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dc.subject
Control and Systems Engineering
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dc.subject
Nonlinear control systems
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dc.subject
trajectory planning
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dc.title
Flatness of Semilinear Parabolic PDEs - A Generalized Cauchy-Kowalevski Approach
