### 抄録

This paper studies the problem of tracking or disturbance rejection for sampled-data control systems, where the tracking signal can have frequency components higher than the Nyquist frequency. 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. This paper examines the basic underlying assumption, and shows that this assumption depends crucially on the underlying analog model. We show that it is indeed possible to recover such high-frequency signals, and also that, by introducing multirate signal processing techniques, it is possible to track or reject such frequency components. Detailed analysis of multirate closed-loop systems and zeros and poles are given. It is shown via examples that tracking of high-frequency signals beyond the Nyquist frequency can be achieved with satisfactory accuracy.

元の言語 | 英語 |
---|---|

ホスト出版物のタイトル | 2016 IEEE 55th Conference on Decision and Control, CDC 2016 |

出版者 | Institute of Electrical and Electronics Engineers Inc. |

ページ | 4003-4008 |

ページ数 | 6 |

ISBN（電子版） | 9781509018376 |

DOI | |

出版物ステータス | 出版済み - 12 27 2016 |

外部発表 | Yes |

イベント | 55th IEEE Conference on Decision and Control, CDC 2016 - Las Vegas, 米国 継続期間: 12 12 2016 → 12 14 2016 |

### その他

その他 | 55th IEEE Conference on Decision and Control, CDC 2016 |
---|---|

国 | 米国 |

市 | Las Vegas |

期間 | 12/12/16 → 12/14/16 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Artificial Intelligence
- Decision Sciences (miscellaneous)
- Control and Optimization

### これを引用

*2016 IEEE 55th Conference on Decision and Control, CDC 2016*(pp. 4003-4008). [7798875] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2016.7798875

**Tracking of signals beyond the Nyquist frequency.** / Yamamoto, Yutaka; Yamamoto, Kaoru; Nagahara, Masaaki.

研究成果: 著書/レポートタイプへの貢献 › 会議での発言

*2016 IEEE 55th Conference on Decision and Control, CDC 2016.*, 7798875, Institute of Electrical and Electronics Engineers Inc., pp. 4003-4008, 55th IEEE Conference on Decision and Control, CDC 2016, Las Vegas, 米国, 12/12/16. https://doi.org/10.1109/CDC.2016.7798875

}

TY - GEN

T1 - Tracking of signals beyond the Nyquist frequency

AU - Yamamoto, Yutaka

AU - Yamamoto, Kaoru

AU - Nagahara, Masaaki

PY - 2016/12/27

Y1 - 2016/12/27

N2 - This paper studies the problem of tracking or disturbance rejection for sampled-data control systems, where the tracking signal can have frequency components higher than the Nyquist frequency. 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. This paper examines the basic underlying assumption, and shows that this assumption depends crucially on the underlying analog model. We show that it is indeed possible to recover such high-frequency signals, and also that, by introducing multirate signal processing techniques, it is possible to track or reject such frequency components. Detailed analysis of multirate closed-loop systems and zeros and poles are given. It is shown via examples that tracking of high-frequency signals beyond the Nyquist frequency can be achieved with satisfactory accuracy.

AB - This paper studies the problem of tracking or disturbance rejection for sampled-data control systems, where the tracking signal can have frequency components higher than the Nyquist frequency. 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. This paper examines the basic underlying assumption, and shows that this assumption depends crucially on the underlying analog model. We show that it is indeed possible to recover such high-frequency signals, and also that, by introducing multirate signal processing techniques, it is possible to track or reject such frequency components. Detailed analysis of multirate closed-loop systems and zeros and poles are given. It is shown via examples that tracking of high-frequency signals beyond the Nyquist frequency can be achieved with satisfactory accuracy.

UR - http://www.scopus.com/inward/record.url?scp=85010824705&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85010824705&partnerID=8YFLogxK

U2 - 10.1109/CDC.2016.7798875

DO - 10.1109/CDC.2016.7798875

M3 - Conference contribution

SP - 4003

EP - 4008

BT - 2016 IEEE 55th Conference on Decision and Control, CDC 2016

PB - Institute of Electrical and Electronics Engineers Inc.

ER -