Hypertracking Beyond the Nyquist Frequency

Kaoru Yamamoto, Yutaka Yamamoto, Masaaki Nagahara

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

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.
Original languageEnglish
Title of host publicationEmerging Applications of Control and Systems Theory
Subtitle of host publicationLecture Notes in Control and Information Sciences - Proceedings
EditorsRoberto Tempo, Stephen Yurkovich, Pradeep Misra
PublisherSpringer
Pages369
Number of pages379
ISBN (Electronic)978-3-319-67068-3
ISBN (Print)978-3-319-67067-6
DOIs
Publication statusPublished - Feb 25 2018

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Yamamoto, K., Yamamoto, Y., & Nagahara, M. (2018). Hypertracking Beyond the Nyquist Frequency. In R. Tempo, S. Yurkovich, & P. Misra (Eds.), Emerging Applications of Control and Systems Theory: Lecture Notes in Control and Information Sciences - Proceedings (pp. 369). Springer. https://doi.org/10.1007/978-3-319-67068-3_27