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Computation of Kalman Decompositions of Periodic Systems
Varga, A. (2003) Computation of Kalman Decompositions of Periodic Systems. Proc. of European Control Conference, ECC'03, 2003-09-01 - 2003-09-04, Cambridge (UK).
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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.
| Document Type: | Conference or Workshop Item (Paper) | ||||
|---|---|---|---|---|---|
| Additional Information: | LIDO-Berichtsjahr=2003, | ||||
| Title: | Computation of Kalman Decompositions of Periodic Systems | ||||
| Authors: |
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| Date: | 2003 | ||||
| Status: | Published | ||||
| Keywords: | Periodic systems, discrete-time systems, time-varying systems, Kalman decomposition, numerical methods. | ||||
| Event Title: | Proc. of European Control Conference, ECC'03 | ||||
| Event Location: | Cambridge (UK) | ||||
| Event Type: | international Conference | ||||
| Event Dates: | 2003-09-01 - 2003-09-04 | ||||
| HGF - Research field: | Aeronautics, Space and Transport | ||||
| HGF - Program: | Aeronautics | ||||
| HGF - Program Themes: | L - no assignement | ||||
| DLR - Research area: | Aeronautics | ||||
| DLR - Program: | L ST - Starrflüglertechnologien | ||||
| DLR - Research theme (Project): | ["eprint_fieldopt_dlr_project_search_L000" not defined] | ||||
| Location: | Oberpfaffenhofen | ||||
| Institutes and Institutions: | Institute of Robotics and Mechatronics | ||||
| Deposited By: | elib DLR-Beauftragter | ||||
| Deposited On: | 31 Jan 2006 | ||||
| Last Modified: | 14 Jan 2010 18:12 |
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