### Abstract

A control-oriented uncertainty modeling on frequency domain is presented for a class of spectral systems with unknown high-order modal parameters. At any user-specified frequency, the set of all the feasible frequency responses is characterized on the complex plane where it is said to be feasible if partial modal parameters of a system are given and the other unknown modal parameters meet certain conditions. We emphasize that such a characterization enables us to quantify the least upper bounds of errors for any nominal models, and also to develop further efficient results using additional information. It is shown in the paper that, the dc gain information of the system reduces the size of the feasible set to the half or smaller, for any frequencies. The efficiency of the presented scheme is demonstrated by a simple example of ideal flexible beam.

Original language | English |
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Title of host publication | Proceedings of the IEEE Conference on Decision and Control |

Pages | 4092-4094 |

Number of pages | 3 |

Volume | 4 |

Publication status | Published - 2002 |

Event | 41st IEEE Conference on Decision and Control - Las Vegas, NV, United States Duration: Dec 10 2002 → Dec 13 2002 |

### Other

Other | 41st IEEE Conference on Decision and Control |
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Country | United States |

City | Las Vegas, NV |

Period | 12/10/02 → 12/13/02 |

### Fingerprint

### ASJC Scopus subject areas

- Chemical Health and Safety
- Control and Systems Engineering
- Safety, Risk, Reliability and Quality

### Cite this

*Proceedings of the IEEE Conference on Decision and Control*(Vol. 4, pp. 4092-4094)

**Modeling flexible structures with unknown high-order modal parameters : A feasible set approach in frequency domain.** / Imai, Jun.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of the IEEE Conference on Decision and Control.*vol. 4, pp. 4092-4094, 41st IEEE Conference on Decision and Control, Las Vegas, NV, United States, 12/10/02.

}

TY - GEN

T1 - Modeling flexible structures with unknown high-order modal parameters

T2 - A feasible set approach in frequency domain

AU - Imai, Jun

PY - 2002

Y1 - 2002

N2 - A control-oriented uncertainty modeling on frequency domain is presented for a class of spectral systems with unknown high-order modal parameters. At any user-specified frequency, the set of all the feasible frequency responses is characterized on the complex plane where it is said to be feasible if partial modal parameters of a system are given and the other unknown modal parameters meet certain conditions. We emphasize that such a characterization enables us to quantify the least upper bounds of errors for any nominal models, and also to develop further efficient results using additional information. It is shown in the paper that, the dc gain information of the system reduces the size of the feasible set to the half or smaller, for any frequencies. The efficiency of the presented scheme is demonstrated by a simple example of ideal flexible beam.

AB - A control-oriented uncertainty modeling on frequency domain is presented for a class of spectral systems with unknown high-order modal parameters. At any user-specified frequency, the set of all the feasible frequency responses is characterized on the complex plane where it is said to be feasible if partial modal parameters of a system are given and the other unknown modal parameters meet certain conditions. We emphasize that such a characterization enables us to quantify the least upper bounds of errors for any nominal models, and also to develop further efficient results using additional information. It is shown in the paper that, the dc gain information of the system reduces the size of the feasible set to the half or smaller, for any frequencies. The efficiency of the presented scheme is demonstrated by a simple example of ideal flexible beam.

UR - http://www.scopus.com/inward/record.url?scp=0036995077&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036995077&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0036995077

VL - 4

SP - 4092

EP - 4094

BT - Proceedings of the IEEE Conference on Decision and Control

ER -