Gramian-based model reduction for descriptor systems

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Author(s) : Tatjana Stykel

The paper is published : Mathematics of Control, Signals, and Systems, 16: 297-319, 2004

MSC 2000

93A15 Large scale systems
15A24 Matrix equations and identities

Abstract :
Model reduction is of fundamental importance in many control applications. We consider model reduction methods for linear time-invariant continuous-time descriptor systems. These methods are based on the balanced truncation technique and closely related to the controllability and observability Gramians and Hankel singular values of descriptor systems. The Gramians can be computed by solving generalized Lyapunov equations with special right-hand sides. Numerical examples are given.

Keywords : Descriptor systems, Gramians, Hankel singular values, model reduction, balanced truncation