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Frequency-domain analysis of linear time-periodic systems
Lund University, Department of Automatic Control.ORCID iD: 0000-0003-1835-2963
2004 (English)In: PROCEEDINGS OF THE 2004 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2004, Vol. 4, 3357-3362 p.Conference paper (Refereed)
Abstract [en]

In this paper we study how a system with a time-periodic impulse response may be expanded into a sum of modulated time-invariant systems. This allows us to define a linear frequency-response operator for periodic systems, called the harmonic transfer function (HTF). Similar frequency-response operators have been derived before for sampled-data systems and periodic finite-dimensional state-space systems. The HTF is an infinite-dimensional operator that captures the frequency coupling of a time-periodic system. The paper includes analysis of convergence of truncated HTFs. For this reason the concepts of input/output roll-off are developed and related to time-varying Markov parameters.

Place, publisher, year, edition, pages
2004. Vol. 4, 3357-3362 p.
Keyword [en]
convergence;frequency domain analysis;harmonic transfer function;infinite dimensional operator;linear frequency response operator;linear time periodic systems;modulated time invariant systems;periodic finite dimensional state space systems;sampled data systems;time periodic impulse response;time varying Markov parameters;Markov processes;convergence;frequency response;frequency-domain analysis;harmonic analysis;linear systems;multidimensional systems;periodic control;sampled data systems;state-space methods;time-varying systems;transfer functions;transient response;
National Category
Control Engineering
URN: urn:nbn:se:kth:diva-74691ISI: 000224688300570ISBN: 0-7803-8335-4OAI: diva2:489847
American Control Conference. Boston, MA. JUN 30-JUL 02, 2004

QC 20120206

Available from: 2012-02-03 Created: 2012-02-03 Last updated: 2014-05-23Bibliographically approved

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Sandberg, Henrik
Control Engineering

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ReferencesLink to record
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