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Preprint 720-2001

Model Reduction of Descriptor Systems

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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

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