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Frequency-Domain Analysis of Linear Time-Periodic Systems

In English

Författare

Summary, in English

In this paper, we study convergence of truncated representations of the frequency-response operator of a linear time-periodic system. The frequency-response operator is frequently called the harmonic transfer function. We introduce the concepts of input, output, and skew roll-off. These concepts are related to the decay rates of elements in the harmonic transfer function. A system with high input and output roll-off may be well approximated by a low-dimensional matrix function. A system with high skew roll-off may be represented by an operator with only few diagonals. Furthermore, the roll-off rates are shown to be determined by certain properties of Taylor and Fourier expansions of the periodic systems. Finally, we clarify the connections between the different methods for computing the harmonic transfer function that are suggested in the literature.

Publiceringsår

2005

Språk

Engelska

Sidor

1971-1983

Publikation/Tidskrift/Serie

IEEE Transactions on Automatic Control

Volym

50

Issue

12

Dokumenttyp

Artikel i tidskrift

Förlag

IEEE - Institute of Electrical and Electronics Engineers Inc.

Ämne

  • Control Engineering

Nyckelord

  • series expansions
  • frequency-response operators
  • Convergence analysis
  • linear time-periodic systems

Status

Published

ISBN/ISSN/Övrigt

  • ISSN: 0018-9286