Hypertracking beyond the Nyquist frequency
(2018) 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/567da998-f02f-4f2b-b9fa-98bee4201a5c
- author
- Yamamoto, Kaoru LU ; Yamamoto, Yutaka and Nagahara, Masaaki
- organization
- publishing date
- 2018
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- Emerging Applications of Control and Systems Theory : Lecture Notes in Control and Information Sciences - Proceedings - Lecture Notes in Control and Information Sciences - Proceedings
- pages
- 369 - 379
- publisher
- Springer
- 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
- 2019-09-27 13:08:10
@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}}, booktitle = {{Emerging Applications of Control and Systems Theory : Lecture Notes in Control and Information Sciences - Proceedings}}, language = {{eng}}, pages = {{369--379}}, publisher = {{Springer}}, title = {{Hypertracking beyond the Nyquist frequency}}, url = {{http://dx.doi.org/10.1007/978-3-319-67068-3_27}}, doi = {{10.1007/978-3-319-67068-3_27}}, year = {{2018}}, }