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Course on Model Order Reduction Eindhoven, April 10-12, 2006 Organized by…. Centre for Analysis, Scientific Computing and Applications Model Order Reduction? Obtain a compact description of behavior by reducing the complexity of the model, using only the dominant part of the behavior

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course on model order reduction
Course onModel Order Reduction

Eindhoven, April 10-12, 2006

organized by
Organized by….

Centre for Analysis, Scientific Computing and Applications

model order reduction
Model Order Reduction?

Obtain a compact description

of behavior by reducing the complexity of the

model, using only

the dominant part of the behavior

model order reduction4
Model Order Reduction?

Model Order Reduction (MOR) is a branch of systems and control theory, which studies properties of dynamical systems in application for reducing their complexity, while preservingtheir input-output behavior.

system

input

output

goals and problems of model order reduction
Goals and problems of Model Order Reduction
  • To make a reduction process automatic (the algorithm doesn't know anything about the nature of underlying system)
  • Sometimes we need to preserve some system properties, such as passivity, stability, etc.
  • To ensure good approximation of the original system by the reduced system in various aspects
  • Maybe we may vary some parameter of a system (i.e. length of transmission line). We need to be able to create parametrized reduced models.
  • Since non-reduced models may have millions of unknowns, the algorithm must be efficient.
synonyms
Synonyms
  • Model Order Reduction
  • Reduced Order Modelling
  • Behavioral Modelling
  • Dimension Reduction of Large-Scale Systems
  • ……………
books
Books
  • P. Benner, V. Mehrmann, D. Sorensen, “Dimension Reduction of Large-Scale Systems” (2005)
  • A. Antoulas, “Approximation of Large-Scale Dynamical Systems” (2005)
  • B. N. Datta, “Numerical Methods for Linear Control systems“ (2004)
  • G. Obinata, B. D. O. Anderson, “Model Reduction for Control System Design” (2004)
  • Z. Q. Qu, “Model Order Reduction Techniques with Applications in Finite Element Analysis” (2005)
  • H.A. van der Vorst, W.H.A. Schilders, “Model Order Reduction: Theory and Practice” (to appear)
websites
Websites
  • http://www.lc.leidenuniv.nl/lc/web/2005/160/info.php3?wsid=160 (Workshop “Model Order Reduction, Coupled Problems and Optimization”)
  • http://web.mit.edu/mor/ (Model Order Reduction website at MIT)
  • http://www.imtek.de/simulation/index.php?page=http://www.imtek.uni-freiburg.de/simulation/benchmark/ (Oberwolfach Model Reduction Benchmark Collection)
more links
More links
  • Model order reduction page at Institut für Automatisierungstechnik, University of Bremen.
  • A very big collection of control-related aricles and theses of the Control Group at the University of Cambridge, UK.
  • Collection of the Model Order Reduction benchmarks for linear and nonlinear problems at the University of Freiburg, Germany.
  • Another benchmark collection for model reduction from the Niconet web site.
  • Course material for "Dynamic systems and control" (6.241) course at MIT; essential for understanding dynamic systems theory.
  • ……and many others
this course
This course
  • Will provide a thorough introduction to Model Order Reduction
  • Starts with Basic Concepts in numerical linear algebra and systems&control
  • Treats the linear case extensively, demonstrating different methods (Krylov based, Gramian based, POD)
  • Discusses current research (nonlinear MOR, parametrized MOR)
  • Several applications will be shown
  • And hands-on experience with a variety of methods and software tools
enjoy the course

Enjoy the course!

Jan ter Maten (COMSON)

Siep Weiland (PROMATCH)

Wil Schilders (CHAMELEON RF)