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Simultaneous rejection of signals below and above the Nyquist frequency

Yamamoto, Kaoru LU ; Yamamoto, Yutaka and Nagahara, Masaaki (2017) 2017 IEEE Conference on Control Technology and Applications (CCTA) In 2017 IEEE Conference on Control Technology and Applications p.1135-1139
Abstract
This paper studies the disturbance rejection problem for sampled-data control systems, where disturbance signal occurs below and above the Nyquist frequency simultaneously. Two discrete-time controllers are designed via H∞ optimal control in two steps; at first a controller is designed to reject the low-frequency components, and then we construct the generalized plant including the first controller to design the second controller, which has the capability of rejecting the high-frequency components. In view of the well-known sampling theorem, one recognizes that any high-frequency components may be detected only as an alias in the low base band, and hence it is impossible to recover or detect such frequency components. The authors recently... (More)
This paper studies the disturbance rejection problem for sampled-data control systems, where disturbance signal occurs below and above the Nyquist frequency simultaneously. Two discrete-time controllers are designed via H∞ optimal control in two steps; at first a controller is designed to reject the low-frequency components, and then we construct the generalized plant including the first controller to design the second controller, which has the capability of rejecting the high-frequency components. In view of the well-known sampling theorem, one recognizes that any high-frequency components may be detected only as an alias in the low base band, and hence it is impossible to recover or detect such frequency components. The authors recently showed in [13] that this assumption depends crucially on the underlying analog model, and it is indeed possible to track or reject such frequency components by introducing multirate signal processing techniques. This paper aims to make this design technique applicable to the case in which the target frequencies lie both below and above the Nyquist frequency. Detailed analysis of multirate closed-loop systems are given. It is shown via examples that rejection of lower- and higher-frequency signals than the Nyquist frequency can be achieved. (Less)
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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
2017 IEEE Conference on Control Technology and Applications
pages
1135 - 1139
publisher
Publ by IEEE
conference name
2017 IEEE Conference on Control Technology and Applications (CCTA)
DOI
10.1109/CCTA.2017.8062611
language
English
LU publication?
yes
id
d92c37d4-5425-4977-87f3-2b888efef9f6
alternative location
http://ieeexplore.ieee.org/document/8062611/
date added to LUP
2017-12-20 17:56:53
date last changed
2017-12-21 14:43:07
@inproceedings{d92c37d4-5425-4977-87f3-2b888efef9f6,
  abstract     = {This paper studies the disturbance rejection problem for sampled-data control systems, where disturbance signal occurs below and above the Nyquist frequency simultaneously. Two discrete-time controllers are designed via H∞ optimal control in two steps; at first a controller is designed to reject the low-frequency components, and then we construct the generalized plant including the first controller to design the second controller, which has the capability of rejecting the high-frequency components. In view of the well-known sampling theorem, one recognizes that any high-frequency components may be detected only as an alias in the low base band, and hence it is impossible to recover or detect such frequency components. The authors recently showed in [13] that this assumption depends crucially on the underlying analog model, and it is indeed possible to track or reject such frequency components by introducing multirate signal processing techniques. This paper aims to make this design technique applicable to the case in which the target frequencies lie both below and above the Nyquist frequency. Detailed analysis of multirate closed-loop systems are given. It is shown via examples that rejection of lower- and higher-frequency signals than the Nyquist frequency can be achieved.},
  author       = {Yamamoto, Kaoru and Yamamoto, Yutaka and Nagahara, Masaaki},
  booktitle    = { 2017 IEEE Conference on Control Technology and Applications},
  language     = {eng},
  pages        = {1135--1139},
  publisher    = {Publ by IEEE},
  title        = {Simultaneous rejection of signals below and above the Nyquist frequency},
  url          = {http://dx.doi.org/10.1109/CCTA.2017.8062611},
  year         = {2017},
}