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Reliable algorithms for computing minimal dynamic covers

Varga, Andras (2003) Reliable algorithms for computing minimal dynamic covers. Proc. of 42nd IEEE Conference on Decision and Control, 2003-12-09 - 2003-12-12, Maui, Hawaii (USA).



Minimal dimension dynamic covers play an important role in solving the structural synthesis problems of minimum order functional observers or fault detectors, or in computing minimal order inverses or minimal degree solutions of rational equations. We propose numerically reliable algorithms to compute two basic types of minimal dimension dynamic covers for a linear system. The proposed approach is based on a special controllability staircase condensed form of a structured pair (A; [B1;B2]), which can be computed using exclusively orthogonal similarity transformations. Using such a condensed form minimal dimension covers and corresponding feedback/feedforward matrices can be easily computed. The overall algorithm has a low computational complexity and is provably numerically reliable.

Item URL in elib:https://elib.dlr.de/12000/
Document Type:Conference or Workshop Item (Paper)
Additional Information:LIDO-Berichtsjahr=2003,
Title:Reliable algorithms for computing minimal dynamic covers
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Date:December 2003
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In ISI Web of Science:No
Page Range:pp. 1873-1878
Keywords:dynamic covers, rational equations, numerical methods
Event Title:Proc. of 42nd IEEE Conference on Decision and Control
Event Location:Maui, Hawaii (USA)
Event Type:international Conference
Event Dates:2003-12-09 - 2003-12-12
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:21 Feb 2006
Last Modified:31 Jul 2019 19:15

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