Frequency-Domain Analysis of Linear Time-Periodic Systems

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

Abstract

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.

Details

Authors
Organisations
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Control Engineering

Keywords

  • state-space methods, sampled data systems, periodic control, multidimensional systems, linear systems, harmonic analysis, frequency-domain analysis, frequency response, Markov processes, convergence, time-varying systems, transient response, transfer functions
Original languageEnglish
Title of host publicationProceedings of the 2004 American Control Conference.
PublisherBoston, Massachusetts
Pages3357-3362
Volume4
ISBN (Print)0-7803-8335-4
Publication statusPublished - 2004
Publication categoryResearch
Peer-reviewedYes

Publication series

Name
Volume4
ISSN (Print)0743-1619