Varga, A. (1999) Balancing related methods for minimal realization of periodic systems. Systems & Control Letters, 36, pp. 339-349.
![]()
|
PDF
114kB |
Abstract
We propose balancing related numerically reliable methods to compute minimal realizations of linear periodic systems with time-varying dimensions. The first method belongs to the family of square-root methods with guaranteed enhanced computational accuracy and can be used to compute balanced minimal order realizations. An alternative balancing-free square-root method has the advantage of a potentially better numerical accuracy in case of poorly scaled original systems. The key numerical computation in both methods is the solution of nonnegative periodic Lyapunov equations directly for the Cholesky factors of the solutions. For this purpose, a numerically reliable computational algorithm is proposed to solve nonnegative periodic Lyapunov equations with time-varying dimensions.
Item URL in elib: | https://elib.dlr.de/3474/ | ||||||||
---|---|---|---|---|---|---|---|---|---|
Document Type: | Article | ||||||||
Additional Information: | LIDO-Berichtsjahr=1999, | ||||||||
Title: | Balancing related methods for minimal realization of periodic systems | ||||||||
Authors: |
| ||||||||
Date: | 1999 | ||||||||
Journal or Publication Title: | Systems & Control Letters | ||||||||
Open Access: | Yes | ||||||||
Gold Open Access: | No | ||||||||
In SCOPUS: | No | ||||||||
In ISI Web of Science: | No | ||||||||
Volume: | 36 | ||||||||
Page Range: | pp. 339-349 | ||||||||
Status: | Published | ||||||||
Keywords: | Numerical methods, linear time-varying | ||||||||
HGF - Research field: | Aeronautics, Space and Transport | ||||||||
HGF - Program: | Aeronautics | ||||||||
HGF - Program Themes: | Aircraft Research (old) | ||||||||
DLR - Research area: | Aeronautics | ||||||||
DLR - Program: | L AR - Aircraft Research | ||||||||
DLR - Research theme (Project): | L - Flexible Aircraft (old) | ||||||||
Location: | Oberpfaffenhofen | ||||||||
Institutes and Institutions: | Institute of Robotics and Mechatronics (until 2012) > Robotic Systems | ||||||||
Deposited By: | DLR-Beauftragter, elib | ||||||||
Deposited On: | 13 Nov 2007 | ||||||||
Last Modified: | 31 Jul 2019 19:14 |
Repository Staff Only: item control page