Modeling flexible structures with unknown high-order modal parameters: A feasible set approach in frequency domain

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

4 Citations (Scopus)

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 languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Pages4092-4094
Number of pages3
Volume4
Publication statusPublished - 2002
Event41st IEEE Conference on Decision and Control - Las Vegas, NV, United States
Duration: Dec 10 2002Dec 13 2002

Other

Other41st IEEE Conference on Decision and Control
CountryUnited States
CityLas Vegas, NV
Period12/10/0212/13/02

Fingerprint

Flexible structures
Frequency response
Uncertainty

ASJC Scopus subject areas

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

Cite this

Imai, J. (2002). Modeling flexible structures with unknown high-order modal parameters: A feasible set approach in frequency domain. In 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.

Proceedings of the IEEE Conference on Decision and Control. Vol. 4 2002. p. 4092-4094.

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

Imai, J 2002, Modeling flexible structures with unknown high-order modal parameters: A feasible set approach in frequency domain. in 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.
Imai J. Modeling flexible structures with unknown high-order modal parameters: A feasible set approach in frequency domain. In Proceedings of the IEEE Conference on Decision and Control. Vol. 4. 2002. p. 4092-4094
Imai, Jun. / Modeling flexible structures with unknown high-order modal parameters : A feasible set approach in frequency domain. Proceedings of the IEEE Conference on Decision and Control. Vol. 4 2002. pp. 4092-4094
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