## 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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Pages (from-to) | 4092-4094 |

Number of pages | 3 |

Journal | Proceedings of the IEEE Conference on Decision and Control |

Volume | 4 |

Publication status | Published - Dec 1 2002 |

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

## ASJC Scopus subject areas

- Control and Systems Engineering
- Modelling and Simulation
- Control and Optimization