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On computing normalized coprime factorizations of periodic systems

Varga, Andras (2010) On computing normalized coprime factorizations of periodic systems. MTNS 2010, Budapest, Hungary.

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Abstract

A numerically reliable state space algorithm is proposed for computing normalized coprime factorizations of periodic descriptor systems. A preprocessing step is used in the algorithm to convert the initial problem for possibly non-causal systems into a simpler problem for causal periodic systems. The main computational ingredient here is the computation of a coprime factorization with causal factors which is addressed by computing right annihilators of an appropriately extended system via periodic pencil manipulation algorithms. The solution of the normalized coprime factorization problem for a causal system involves the solution of a generalized periodic Riccati equation. The proposed two steps approach is completely general, being applicable to periodic systems with time-varying dimensions.

Document Type:Conference or Workshop Item (Paper)
Title:On computing normalized coprime factorizations of periodic systems
Authors:
AuthorsInstitution or Email of Authors
Varga, Andrasandreas.varga@dlr.de
Date:2010
Status:Published
Keywords:periodic systems; time-varying systems; linear systems; computational methods
Event Title:MTNS 2010
Event Location:Budapest, Hungary
Event Type:international Conference
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Systems & Cabin
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Robotics and Mechatronics > System Dynamics and Control (former Control Design Engineering)
Deposited By: Dr.-Ing. Andreas Varga
Deposited On:16 Nov 2010 13:20
Last Modified:12 Dec 2013 21:05

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