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On Floquet-Fourier Realizations of Linear Time-Periodic Impulse Responses
Caltech, Control and Dynamical Systems, California Institute of Technology.ORCID iD: 0000-0003-1835-2963
2006 (English)In: PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, 1411-1416 p.Conference paper (Refereed)
Abstract [en]

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 so-called 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

Place, publisher, year, edition, pages
2006. 1411-1416 p.
, IEEE Conference on Decision and Control, ISSN 0191-2216
Keyword [en]
Floquet-Fourier realizations;constant state matrix;control design;infinite-dimensional linear time-invariant systems;input matrix;linear time-periodic impulse responses;linear time-periodic state-space representation;minimal realizations;nonzero Fourier coefficients;output matrix;state-space forms;control system analysis;control system synthesis;linear systems;realisation theory;state-space methods;time-varying systems;transient response;
National Category
Control Engineering
URN: urn:nbn:se:kth:diva-74674DOI: 10.1109/CDC.2006.377638ISI: 000252251605004ISBN: 978-1-4244-0170-3OAI: diva2:489806
45th IEEE Conference on Decision and Control. San Diego, CA. DEC 13-15, 2006
QC 20120206Available from: 2012-02-03 Created: 2012-02-03 Last updated: 2012-02-06Bibliographically approved

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Sandberg, Henrik
Control Engineering

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