Title :
Model reduction for controller design for infinite-dimensional systems: theory and an example
Author :
Opmeer, Mark R. ; Wubs, Fred W. ; Van Mourik, Simon
Author_Institution :
Department of Mathematics, University of Groningen, P.O. Box 800, 9700 AV Groningen, The Netherlands. opmeer@math.rug.nl.
Abstract :
This paper presents a model reduction technique for infinite-dimensional systems called LQG-balancing. Theoretical results on the existence and uniqueness of LQG-balanced realizations are given as well as error bounds for truncated LQG-balanced realizations. We illustrate the theory by studying model reduction for an Euler-Bernoulli beam.
Keywords :
Control system synthesis; Controllability; Cost function; Mathematics; Observability; Optimized production technology; Reduced order systems; Regulators; Riccati equations; Transfer functions;
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
DOI :
10.1109/CDC.2005.1582533
