### 抄録

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.

元の言語 | 英語 |
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ホスト出版物のタイトル | 1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017 |

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

ページ | 1135-1139 |

ページ数 | 5 |

ISBN（電子版） | 9781509021826 |

DOI | |

出版物ステータス | 出版済み - 10 6 2017 |

イベント | 1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017 - Kohala Coast, 米国 継続期間: 8 27 2017 → 8 30 2017 |

### 出版物シリーズ

名前 | 1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017 |
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巻 | 2017-January |

### その他

その他 | 1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017 |
---|---|

国 | 米国 |

市 | Kohala Coast |

期間 | 8/27/17 → 8/30/17 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

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

### これを引用

*1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017*(pp. 1135-1139). (1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017; 巻数 2017-January). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CCTA.2017.8062611

**Simultaneous rejection of signals below and above the nyquist frequency.** / Yamamoto, Kaoru; Yamamoto, Yutaka; 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

*1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017.*1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017, 巻. 2017-January, Institute of Electrical and Electronics Engineers Inc., pp. 1135-1139, 1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017, Kohala Coast, 米国, 8/27/17. https://doi.org/10.1109/CCTA.2017.8062611

}

TY - GEN

T1 - Simultaneous rejection of signals below and above the nyquist frequency

AU - Yamamoto, Kaoru

AU - Yamamoto, Yutaka

AU - Nagahara, Masaaki

PY - 2017/10/6

Y1 - 2017/10/6

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85047737624&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85047737624&partnerID=8YFLogxK

U2 - 10.1109/CCTA.2017.8062611

DO - 10.1109/CCTA.2017.8062611

M3 - Conference contribution

T3 - 1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017

SP - 1135

EP - 1139

BT - 1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017

PB - Institute of Electrical and Electronics Engineers Inc.

ER -