## Abstract

We consider the input design problem of finding the minimal required experiment time such that accuracy constraints on the parameter estimate of an identification experiment are satisfied, while also respecting signal amplitude bounds. The input signal is parameterized as a multi-sine. We first show how multiple linear matrix inequalities from the least-costly and applications-oriented experiment design frameworks can be transformed into a generalised E-optimality constraint. Then, the solution to our problem is found by: (i) designing a multi-sine of one period with the Guillaume-Manchester algorithm [12], [10] that minimises the generalised E-optimality criterion under signal amplitude bounds, and (ii) utilising periodicity and an optimality condition to scale the experiment time such that the imposed accuracy constraints are also respected. An example shows an experiment time reduction of 50% compared with a traditional least-costly experiment design approach.

Original language | English |
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Title of host publication | Proceedings 2016 European Control Conference |

Editors | A. Rantzer, J. Bagterp Jørgensen, J. Stoustrup |

Place of Publication | Piscataway, NJ, USA |

Publisher | IEEE |

Pages | 1661-1666 |

ISBN (Electronic) | 978-1-5090-2591-6 |

DOIs | |

Publication status | Published - 2016 |

Event | 2016 European Control Conference, ECC 2016: 15th annual European Control Conference - Aalborg, Denmark Duration: 29 Jun 2016 → 1 Jul 2016 http://www.ecc16.eu/index.shtml |

### Conference

Conference | 2016 European Control Conference, ECC 2016 |
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Abbreviated title | ECC'16 |

Country/Territory | Denmark |

City | Aalborg |

Period | 29/06/16 → 1/07/16 |

Internet address |