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Computation of transfer function matrices of periodic systems

Varga, Andras (2003) Computation of transfer function matrices of periodic systems. International Journal of Control, 76 (17), pp. 1712-1723.



We present a numerical approach to evaluate the transfer function matrices of a periodic system corresponding to lifted state-space representations as constant systems. The proposed pole-zero method determines each entry of the transfer function matrix in a minimal zeros-poles-gain representation. A basic computation is the minimal realization of special single-input single-output periodic systems, for which both balancing-related as well as orthogonal periodic Kalman forms based algorithms can be employed. The main computational ingredient to compute poles is the extended periodic real Schur form of a periodic matrix. This form also underlies the solution of periodic Lyapunov equations when computing minimal realizations via balancing-related techniques. To compute zeros and gains, numerically stable fast algorithms are proposed, which are specially tailored to particular single-input single-output periodic systems. The new method relies exclusively on reliable numerical computations and is well suited for robust software implementations. Numerical examples computed with Matlab-based implementations show the applicability of the proposed method to high-order periodic systems.

Item URL in elib:https://elib.dlr.de/11998/
Document Type:Article
Additional Information:LIDO-Berichtsjahr=2003,
Title:Computation of transfer function matrices of periodic systems
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Date:December 2003
Journal or Publication Title:International Journal of Control
Open Access:Yes
Gold Open Access:No
In ISI Web of Science:No
Page Range:pp. 1712-1723
Keywords:Periodic systems, poles, zeros, frequency methods, numerical methods
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:20 Sep 2007
Last Modified:31 Jul 2019 19:15

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