Inhalt des Dokuments
Preprint 720-2001
Model Reduction of Descriptor Systems
Author(s) :
Tatjana Stykel
Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 720-2001
MSC 2000
- 93C05 Linear systems
-
15A24 Matrix equations and identities
Abstract :
Model reduction is of fundamental importance in many control applications.
We consider model reduction methods for linear continuous-time descriptor
systems. The methods are based on balanced truncation techniques
and closely related to the controllability and observability
Gramians and Hankel singular values of descriptor systems.
The Gramians can be computed by solving the generalized Lyapunov equations with
special right-hand sides. The numerical solution of generalized
Lyapunov equations is also discussed. A numerical example is given.
Keywords :
descriptor systems, controllability and observability Gramians, Hankel singular values, model reduction