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Hypertracking beyond the Nyquist frequency

Yamamoto, Kaoru LU ; Yamamoto, Yutaka and Nagahara, Masaaki (2018) In Emerging Applications of Control and Systems Theory p.369-379
Abstract
We study the problem of tracking or disturbance rejection for signals beyond the Nyquist frequency in the sampled-data context. Given the well-established sampling theorem, one is inclined to infer that it is possible to track or reject only those signals below the Nyquist frequency. However, such a high-frequency signal may be detected as an aliased signal, and this opens a new possibility in tracking and regulation. This article shows that a multirate processing with a suitable choice of a weighting function enables tracking or rejection of high-frequency signals beyond the Nyquist frequency. An example is given to illustrate the result.
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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
Emerging Applications of Control and Systems Theory
pages
369 - 379
publisher
Springer International Publishing AG
DOI
10.1007/978-3-319-67068-3_27
language
English
LU publication?
yes
id
567da998-f02f-4f2b-b9fa-98bee4201a5c
date added to LUP
2018-02-25 10:34:38
date last changed
2018-05-29 11:43:58
@inbook{567da998-f02f-4f2b-b9fa-98bee4201a5c,
  abstract     = {We study the problem of tracking or disturbance rejection for signals beyond the Nyquist frequency in the sampled-data context. Given the well-established sampling theorem, one is inclined to infer that it is possible to track or reject only those signals below the Nyquist frequency. However, such a high-frequency signal may be detected as an aliased signal, and this opens a new possibility in tracking and regulation. This article shows that a multirate processing with a suitable choice of a weighting function enables tracking or rejection of high-frequency signals beyond the Nyquist frequency. An example is given to illustrate the result.},
  author       = {Yamamoto, Kaoru and Yamamoto, Yutaka and Nagahara, Masaaki},
  language     = {eng},
  pages        = {369--379},
  publisher    = {Springer International Publishing AG},
  series       = {Emerging Applications of Control and Systems Theory},
  title        = {Hypertracking beyond the Nyquist frequency},
  url          = {http://dx.doi.org/10.1007/978-3-319-67068-3_27},
  year         = {2018},
}