### Abstract

An approach to control-oriented uncertainty modeling is proposed for linear elastic vibrating systems described by a partial differential equation. Techniques are developed for the case where a finite number of upper and lower bounds of the unknown parameters are available. To solve the problem, the feasible set defined in [1] is generalized and expanded to a more useful and practical set of systems. Then, the perturbation magnitude covering the feasible set is evaluated in the frequency domain where the truncated modal model is chosen as the nominal model. An upper bound is developed, which is computed using linear programming. All the parameter bounds required for the proposed formulation are computed using finite element analysis for a major class of elastic vibrating systems.

Original language | English |
---|---|

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

Publisher | IEEE |

Pages | 4307-4312 |

Number of pages | 6 |

Volume | 5 |

Publication status | Published - 1999 |

Externally published | Yes |

Event | The 38th IEEE Conference on Decision and Control (CDC) - Phoenix, AZ, USA Duration: Dec 7 1999 → Dec 10 1999 |

### Other

Other | The 38th IEEE Conference on Decision and Control (CDC) |
---|---|

City | Phoenix, AZ, USA |

Period | 12/7/99 → 12/10/99 |

### 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. 5, pp. 4307-4312). IEEE.

**Modeling uncertainty of flexible structures with eigenparameter bounds - frequency domain characterization for controller design.** / Imai, Jun; Wada, Kiyoshi.

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

*Proceedings of the IEEE Conference on Decision and Control.*vol. 5, IEEE, pp. 4307-4312, The 38th IEEE Conference on Decision and Control (CDC), Phoenix, AZ, USA, 12/7/99.

}

TY - GEN

T1 - Modeling uncertainty of flexible structures with eigenparameter bounds - frequency domain characterization for controller design

AU - Imai, Jun

AU - Wada, Kiyoshi

PY - 1999

Y1 - 1999

N2 - An approach to control-oriented uncertainty modeling is proposed for linear elastic vibrating systems described by a partial differential equation. Techniques are developed for the case where a finite number of upper and lower bounds of the unknown parameters are available. To solve the problem, the feasible set defined in [1] is generalized and expanded to a more useful and practical set of systems. Then, the perturbation magnitude covering the feasible set is evaluated in the frequency domain where the truncated modal model is chosen as the nominal model. An upper bound is developed, which is computed using linear programming. All the parameter bounds required for the proposed formulation are computed using finite element analysis for a major class of elastic vibrating systems.

AB - An approach to control-oriented uncertainty modeling is proposed for linear elastic vibrating systems described by a partial differential equation. Techniques are developed for the case where a finite number of upper and lower bounds of the unknown parameters are available. To solve the problem, the feasible set defined in [1] is generalized and expanded to a more useful and practical set of systems. Then, the perturbation magnitude covering the feasible set is evaluated in the frequency domain where the truncated modal model is chosen as the nominal model. An upper bound is developed, which is computed using linear programming. All the parameter bounds required for the proposed formulation are computed using finite element analysis for a major class of elastic vibrating systems.

UR - http://www.scopus.com/inward/record.url?scp=0033314196&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033314196&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0033314196

VL - 5

SP - 4307

EP - 4312

BT - Proceedings of the IEEE Conference on Decision and Control

PB - IEEE

ER -