Frequency-domain analysis of linear time-periodic systems
2004 (English)In: PROCEEDINGS OF THE 2004 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2004, Vol. 4, 3357-3362 p.Conference paper (Refereed)
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.
, PROCEEDINGS OF THE AMERICAN CONTROL CONFERENCE, ISSN 0743-1619
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;
IdentifiersURN: urn:nbn:se:kth:diva-74691ISI: 000224688300570ISBN: 0-7803-8335-4OAI: oai:DiVA.org:kth-74691DiVA: diva2:489847
American Control Conference. Boston, MA. JUN 30-JUL 02, 2004
QC 201202062012-02-032012-02-032014-05-23Bibliographically approved