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Reliable algorithms for computing minimal dynamic covers for descriptor systems

Varga, Andras (2004) Reliable algorithms for computing minimal dynamic covers for descriptor systems. Proc. of Mathematical Theory of Networks and Systems, MTNS 2004, 2004-07-05 - 2004-07-09, Leuven (Belgium).

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Abstract

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 descriptor pair (A ¡ ¸E; [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/12061/
Document Type:Conference or Workshop Item (Paper)
Additional Information:LIDO-Berichtsjahr=2004,
Title:Reliable algorithms for computing minimal dynamic covers for descriptor systems
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Varga, AndrasUNSPECIFIEDUNSPECIFIED
Date:July 2004
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Status:Published
Keywords:Minimum order covers, descriptor systems, numerical methods
Event Title:Proc. of Mathematical Theory of Networks and Systems, MTNS 2004
Event Location:Leuven (Belgium)
Event Type:international Conference
Event Dates:2004-07-05 - 2004-07-09
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) > System Dynamics and Control (former Control Design Engineering)
Deposited By: DLR-Beauftragter, elib
Deposited On:21 Feb 2006
Last Modified:31 Jul 2019 19:15

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