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Frequency-Domain Analysis of Linear Time-Periodic Systems

Publiceringsår: 2004
Språk: Engelska
Sidor: 3357-3362
Publikation/Tidskrift/Serie: Proceedings of the 2004 American Control Conference.
Volym: 4
Dokumenttyp: Konferensbidrag
Förlag: Boston, Massachusetts


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.


  • Control Engineering
  • 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


  • ISSN: 0743-1619
  • ISBN: 0-7803-8335-4

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