Experiment time minimisation under parameter accuracy constraints and time-domain signal amplitude bounds

M. G. Potters, X. Bombois, Paul M J Van Den Hof

    Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

    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 languageEnglish
    Title of host publicationProceedings 2016 European Control Conference
    EditorsA. Rantzer, J. Bagterp Jørgensen, J. Stoustrup
    Place of PublicationPiscataway, NJ, USA
    PublisherIEEE
    Pages1661-1666
    ISBN (Electronic)978-1-5090-2591-6
    DOIs
    Publication statusPublished - 2016
    Event2016 European Control Conference, ECC 2016: 15th annual European Control Conference - Aalborg, Denmark
    Duration: 29 Jun 20161 Jul 2016
    http://www.ecc16.eu/index.shtml

    Conference

    Conference2016 European Control Conference, ECC 2016
    Abbreviated titleECC'16
    CountryDenmark
    CityAalborg
    Period29/06/161/07/16
    Internet address

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