### 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 |
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Pages (from-to) | 4307-4312 |

Number of pages | 6 |

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

Volume | 5 |

Publication status | Published - Dec 1 1999 |

Externally published | Yes |

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

### ASJC Scopus subject areas

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