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Balanced truncation model reduction of periodic systems

Varga, Andras (2000) Balanced truncation model reduction of periodic systems. In: CD-ROM. IEEE Conference on Decision and Control, CDC 2000, 2000-12-12 - 2000-12-15, Sydney (Australia).

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Abstract

The balanced truncation approach to model reduction is considered for linear discrete-time periodic systems with time-varying dimensions. Stability of the reduced model is proved and a guaranteed additive bound is derived for the approximation error. These results represent generalizations of the corresponding ones for standard discrete-time systems. Two numerically reliable methods to compute reduced order models using the balanced truncation approach are considered. The square-root method and the potentially more accurate balancing-free square-root method belong to the family of methods with guaranteed enhanced computational accuracy. The key numerical computation in both methods is the determination of the Cholesky factors of the periodic Gramian matrices by solving nonnegative periodic Lyapunov equations with time-varying dimensions directly for the Cholesky factors of the solutions.

Item URL in elib:https://elib.dlr.de/11634/
Document Type:Conference or Workshop Item (Paper)
Additional Information:LIDO-Berichtsjahr=2000,
Title:Balanced truncation model reduction of periodic systems
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Varga, AndrasUNSPECIFIEDUNSPECIFIED
Date:September 2000
Journal or Publication Title:CD-ROM
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Status:Published
Keywords:model reduction, periodic systems, numerical methods
Event Title:IEEE Conference on Decision and Control, CDC 2000
Event Location:Sydney (Australia)
Event Type:international Conference
Event Dates:2000-12-12 - 2000-12-15
Organizer:CDC
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:other
HGF - Program Themes:other
DLR - Research area:Aeronautics
DLR - Program:L - no assignment
DLR - Research theme (Project):L - no assignment (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Robotics and Mechatronics (until 2012)
Deposited By: DLR-Beauftragter, elib
Deposited On:15 Mar 2006
Last Modified:31 Jul 2019 19:15

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