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Balancing related methods for minimal realization of periodic systems

Varga, A. (1999) Balancing related methods for minimal realization of periodic systems. Systems & Control Letters, 36, pp. 339-349.

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Abstract

We propose balancing related numerically reliable methods to compute minimal realizations of linear periodic systems with time-varying dimensions. The first method belongs to the family of square-root methods with guaranteed enhanced computational accuracy and can be used to compute balanced minimal order realizations. An alternative balancing-free square-root method has the advantage of a potentially better numerical accuracy in case of poorly scaled original systems. The key numerical computation in both methods is the solution of nonnegative periodic Lyapunov equations directly for the Cholesky factors of the solutions. For this purpose, a numerically reliable computational algorithm is proposed to solve nonnegative periodic Lyapunov equations with time-varying dimensions.

Item URL in elib:https://elib.dlr.de/3474/
Document Type:Article
Additional Information:LIDO-Berichtsjahr=1999,
Title:Balancing related methods for minimal realization of periodic systems
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Varga, A.UNSPECIFIEDUNSPECIFIED
Date:1999
Journal or Publication Title:Systems & Control Letters
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Volume:36
Page Range:pp. 339-349
Status:Published
Keywords:Numerical methods, linear time-varying
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research (old)
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Flexible Aircraft (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Robotics and Mechatronics (until 2012) > Robotic Systems
Deposited By: DLR-Beauftragter, elib
Deposited On:13 Nov 2007
Last Modified:31 Jul 2019 19:14

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