Simultaneous rejection of signals below and above the nyquist frequency

Kaoru Yamamoto, Yutaka Yamamoto, Masaaki Nagahara

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.

Original languageEnglish
Title of host publication1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1135-1139
Number of pages5
ISBN (Electronic)9781509021826
DOIs
Publication statusPublished - Oct 6 2017
Externally publishedYes
Event1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017 - Kohala Coast, United States
Duration: Aug 27 2017Aug 30 2017

Publication series

Name1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017
Volume2017-January

Other

Other1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017
Country/TerritoryUnited States
CityKohala Coast
Period8/27/178/30/17

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Hardware and Architecture
  • Software
  • Control and Systems Engineering

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