## Abstract

In this paper, we present a procedure for finding the best LFT uncertainty model by minimizing the H-infinity norm of the uncertainty set with respect to a nominal model subject to known input-output data. The main problem is how to express the data-matching constraints for convenient use in the optimization problem. For some uncertainty structures, they can readily be formulated as a set of linear matrix inequalities (LMIs), for some other structures, LMIs are obtained after certain transformations. There are also cases, when the constraints result in bilinear matrix inequalities (BMIs), which can be linearized to enable an efficient iterative solution. Essentially all LFT uncertainty structures are considered. An application to distillation modeling is included.

Original language | Undefined/Unknown |
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Title of host publication | 2013 European Control Conference (ECC) |

Publisher | IEEE |

Pages | 1107–1113 |

ISBN (Electronic) | 978-3-033-03962-9 |

ISBN (Print) | 978-3-9524173-4-8 |

DOIs | |

Publication status | Published - 2013 |

MoE publication type | A4 Article in a conference publication |

Event | European Control Conference (ECC) - 2013 European Control Conference Duration: 17 Jul 2013 → 19 Jul 2013 |

### Conference

Conference | European Control Conference (ECC) |
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Period | 17/07/13 → 19/07/13 |

## Keywords

- Data models
- Linear matrix inequalities
- Mathematical model
- Optimization
- Transfer functions
- Uncertainty