Author(s) :
Jan Heiland
,
Volker Mehrmann
,
Michael Schmidt
Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 29-2009
MSC 2000
- 65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
-
93C95 Applications
Abstract :
We discuss the direct discretization of the input/output map of
linear time-invariant systems with distributed inputs and outputs.
At first, the input and output signals are discretized in space and time, resulting in
a matrix representation of an approximated input/output map.
Then the system dynamics is approximated,
in order to calculate the matrix representation numerically.
The discretization framework, corresponding error estimates,
a SVD-based system reduction method and
a numerical application in optimization problems are presented,
and illustrated for a heat control and a flow control system.
Keywords :
flow-control, Oseen equation, tokes equation, input/output map, discretization, differential-algebraic equation