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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.
| Document Type: | Conference or Workshop Item (Paper) | ||||
|---|---|---|---|---|---|
| Additional Information: | LIDO-Berichtsjahr=2004, | ||||
| Title: | Reliable algorithms for computing minimal dynamic covers for descriptor systems | ||||
| Authors: |
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| Date: | July 2004 | ||||
| Refereed publication: | Yes | ||||
| 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: | Aeronautics | ||||
| HGF - Program Themes: | L - no assignement | ||||
| DLR - Research area: | Aeronautics | ||||
| DLR - Program: | L - no assignement | ||||
| DLR - Research theme (Project): | ["eprint_fieldopt_dlr_project_search_L000" not defined] | ||||
| Location: | Oberpfaffenhofen | ||||
| Institutes and Institutions: | Institute of Robotics and Mechatronics > System Dynamics and Control (former Control Design Engineering) | ||||
| Deposited By: | elib DLR-Beauftragter | ||||
| Deposited On: | 21 Feb 2006 | ||||
| Last Modified: | 12 Mar 2010 14:34 |
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