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MOR durch Transform auf (quadratisch-)bilineare Systeme
Mitarbeiter:
- Tobias Breiten
Max-Planck-Institut für Dynamik komplexer technischer Systeme
Magdeburg,
Computational Methods in Systems and Control Theory,
Tel: +49 (0)391-6110-806
E-mail: breiten@mpi-magdeburg.mpg.de
Projekt Beschreibung
Many computer-aided engineering problems involve analyzing large-scale
parameter-dependent dynamical processes. Here, one can, e.g., think of
optimization of geometry and topology in MEMS design. Model order reduction
(MOR) techniques are often required to allow multiple simulations for varying
parameter values in design studies or optimization algorithms.
In case of parameters staying constant during one simulation cycle,
there exist several generalizations of linear MOR methods like moment-matching, balanced
truncation and rational interpolation, respectively. However, the situation becomes rather complicated
if the parameters vary in time. Here, efficient reduction methods are still an open
question.
In this project, we investigate a beneficial connection between linear parameter-varying (LPV) control systems
and so-called bilinear control systems. Although the latter ones formally belong to the class of nonlinear control systems,
many linear reduction techniques have been shown to possess bilinear analogues. Moreover, embedding LPV systems in the
class of bilnear control systems allows for studying parametric model reduction techniques that automatically take care of
a desired structure preservation of the underyling parametric process.
Duration and Funding
- Januar 2010 - August 2010:
Technische Universität Chemnitz
- seit September 2010: MPI Magdeburg
Zugehörige Publikationen
Referenzen
Dynamik, Analyse und Regelung von Anaerobischen Vergärungsprozessen in der Biogas Produktion
Mitarbeiter:
- Astrid Bornhöft
Otto-von-Guericke-Universität Magdeburg,
Lehrstuhl für Systemverfahrenstechnik,
Tel: +49 (0)391 67-54637
E-mail: abornhoeft@mpi-magdeburg.mpg.de
- Tobias Breiten
Max-Planck-Institut für Dynamik komplexer technischer Systeme
Magdeburg,
Computational Methods in Systems and Control Theory,
Tel: +49 (0)391-6110-806
E-mail: breiten@mpi-magdeburg.mpg.de
- Richard Hanke-Rauschenbach
Otto-von-Guericke-Universität Magdeburg,
Lehrstuhl für Systemverfahrenstechnik,
Tel: +49 (0)391 67-54630
E-mail: hanke-rauschenbach@mpi-magdeburg.mpg.de
Projekt Beschreibung
In cooperation with the group of Prof. Dr. Kai Sundmacher, we investigate the above mentioned nonlinear model reduction technique
by means of a real-life application arising in digstion processes in the context of biogas production. Before applying model order reduction, as a
first step the nonlinear dynamics have to be transformed into a qudratic-bilinear control systems with additional algebraic constraints that
make the reduction itself more complicated. Subsequently, we want to apply the model reduction approach and give an interpretation of the reduced system.
Duration and Funding
- seit September 2010: MPI Magdeburg
Zugehörige Publikationen
|
Steady-state analysis of the anaerobic digestion model No. 1 (ADM1);
A. Bornhöft, R. Hanke-Rauschenbach, and K. Sundmacher;
submitted to Journal of Biotechnology;
2011. |
