Tell a friend
Print
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).
![[img]](https://elib.dlr.de/style/images/fileicons/application_pdf.png)
|
PDF
106kB |
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/11911/ | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Document Type: | Conference or Workshop Item (Paper) | ||||||||
| Additional Information: | LIDO-Berichtsjahr=2003, | ||||||||
| Title: | Computation of Kalman Decompositions of Periodic Systems | ||||||||
| Authors: |
| ||||||||
| Date: | 2003 | ||||||||
| Open Access: | Yes | ||||||||
| Gold Open Access: | No | ||||||||
| In SCOPUS: | No | ||||||||
| In ISI Web of Science: | No | ||||||||
| 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 Start Date: | 1 September 2003 | ||||||||
| Event End Date: | 4 September 2003 | ||||||||
| 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: | 31 Jan 2006 | ||||||||
| Last Modified: | 24 Apr 2024 18:59 |
Repository Staff Only: item control page
