Varga, Andras (2001) On Balancing and Order Reduction of Unstable Periodic Systems. Workshop on Periodic Control Systems PSYCO 2001, 2001-08-27 - 2001-08-28, Cernobbio-Como.
![]()
|
PDF
125kB |
Abstract
Abstract: We consider the direct application of balancing techniques to unstable periodic systems by extending the balancing concepts to arbitrary periodic systems. We extend first the balancing concepts to unstable discrete-time systems by defining the reachability and observability grammians from appropriate right and left coprime factorizations with inner denominators. Further, we extend this new balancing method to unstable linear time-varying discrete-time systems with periodically varying coefficient matrices. The new balancing approach serves as basis to develop balancing related order reduction methods for unstable periodic systems using accuracy enhancing square-root and balancing-free algorithms.
Item URL in elib: | https://elib.dlr.de/22687/ | ||||||
---|---|---|---|---|---|---|---|
Document Type: | Conference or Workshop Item (Speech) | ||||||
Title: | On Balancing and Order Reduction of Unstable Periodic Systems | ||||||
Authors: |
| ||||||
Date: | August 2001 | ||||||
Open Access: | Yes | ||||||
Gold Open Access: | No | ||||||
In SCOPUS: | No | ||||||
In ISI Web of Science: | No | ||||||
Status: | Published | ||||||
Keywords: | Keywords: Periodic systems, time-varying systems, discrete-time systems, balanced truncation, model reduction, numerical methods | ||||||
Event Title: | Workshop on Periodic Control Systems PSYCO 2001 | ||||||
Event Location: | Cernobbio-Como | ||||||
Event Type: | international Conference | ||||||
Event Dates: | 2001-08-27 - 2001-08-28 | ||||||
HGF - Research field: | other | ||||||
HGF - Program: | other | ||||||
HGF - Program Themes: | other | ||||||
DLR - Research area: | no assignment | ||||||
DLR - Program: | no assignment | ||||||
DLR - Research theme (Project): | no assignment | ||||||
Location: | Oberpfaffenhofen | ||||||
Institutes and Institutions: | Institute of Robotics and Mechatronics (until 2012) > System Dynamics and Control (former Control Design Engineering) | ||||||
Deposited By: | Jaschinski, Astrid | ||||||
Deposited On: | 13 Mar 2006 | ||||||
Last Modified: | 31 Jul 2019 19:16 |
Repository Staff Only: item control page