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Computation of Kalman Decompositions of Periodic Systems

Varga, Andras (2003) Computation of Kalman Decompositions of Periodic Systems. European Journal of Control, 10 (1), pp. 1-8.

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Abstract

We consider the numerically reliable computation of reachability and observability Kalman decompositions of a periodic system with time-varying dimensions. These decompositons generalize the controllability/observability Kalman decompositions for standard state space systems and have immediate applications in the structural analysis of periodic systems. We propose a structure exploiting numerical algorithm to compute the periodic controllability form by employing exclusively orthogonal similarity transformations. The new algorithm is computationally efficient and strongly backward stable, thus fulfils all requirements for a satisfactory algorithm for periodic systems.

Item URL in elib:https://elib.dlr.de/12078/
Document Type:Article
Additional Information:LIDO-Berichtsjahr=2003,
Title:Computation of Kalman Decompositions of Periodic Systems
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Varga, AndrasUNSPECIFIEDUNSPECIFIED
Date:May 2003
Journal or Publication Title:European Journal of Control
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Volume:10
Page Range:pp. 1-8
Status:Published
Keywords:Periodic systems, discrete-time systems, time-varying systems, Kalman decomposition, numerical methods
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:07 Mar 2006
Last Modified:31 Jul 2019 19:15

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