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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 (engelsk)Inngår i: PROCEEDINGS OF THE 2004 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2004, Vol. 4, s. 3357-3362Konferansepaper, Publicerat paper (Fagfellevurdert)
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.

sted, utgiver, år, opplag, sider
2004. Vol. 4, s. 3357-3362
Serie
PROCEEDINGS OF THE AMERICAN CONTROL CONFERENCE, ISSN 0743-1619
Emneord [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;
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Identifikatorer
URN: urn:nbn:se:kth:diva-74691ISI: 000224688300570ISBN: 0-7803-8335-4 (tryckt)OAI: oai:DiVA.org:kth-74691DiVA, id: diva2:489847
Konferanse
American Control Conference. Boston, MA. JUN 30-JUL 02, 2004
Merknad

QC 20120206

Tilgjengelig fra: 2012-02-03 Laget: 2012-02-03 Sist oppdatert: 2014-05-23bibliografisk kontrollert

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