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On Floquet-Fourier Realizations of Linear Time-Periodic Impulse Responses

Sandberg, Henrik (2006) On Floquet-Fourier Realizations of Linear Time-Periodic Impulse Responses. In: Proceedings of the 45th IEEE Conference on Decision and Control. IEEE Conference on Decision and Control . IEEE , Piscataway, NJ, pp. 1411-1416. ISBN 978-1-4244-0170-3. https://resolver.caltech.edu/CaltechAUTHORS:20110720-081951331

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Abstract

We show that a linear time-periodic system with a smooth impulse response can be arbitrarily well approximated by a linear time-periodic state-space representation in socalled Floquet-Fourier form. The Floquet-Fourier form has a constant state matrix and the input and output matrices have only finitely many nonzero Fourier coefficients. Such representations are easier to use for analysis and control design than the impulse response or fully general state-space forms. The construction of the Floquet-Fourier form is done using methods for model approximation of infinite-dimensional linear time-invariant systems. We also propose a method for constructing minimal realizations from impulse responses of a special structure.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1109/CDC.2006.377638 DOIUNSPECIFIED
http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4177831PublisherUNSPECIFIED
Additional Information:© 2006 IEEE. Issue Date: 13-15 Dec. 2006. Date of Current Version: 07 May 2007. This work was supported by the Hans Werthén foundation and a postdoctoral grant from the Swedish Research Council.
Funders:
Funding AgencyGrant Number
Hans Werthén FoundationUNSPECIFIED
Swedish Research CouncilUNSPECIFIED
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INSPEC Accession Number9430676
Series Name:IEEE Conference on Decision and Control
Record Number:CaltechAUTHORS:20110720-081951331
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20110720-081951331
Official Citation:Sandberg, H.; , "On Floquet-Fourier Realizations of Linear Time-Periodic Impulse Responses," Decision and Control, 2006 45th IEEE Conference on , vol., no., pp.1411-1416, 13-15 Dec. 2006 doi: 10.1109/CDC.2006.377638 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4177831&isnumber=4176993
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:24473
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:21 Jul 2011 20:11
Last Modified:03 Oct 2019 02:56

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