Finding an LFT uncertainty model with minimal uncertainty

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    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 languageUndefined/Unknown
    Title of host publication2013 European Control Conference (ECC)
    PublisherIEEE
    Pages1107–1113
    ISBN (Electronic)978-3-033-03962-9
    ISBN (Print)978-3-9524173-4-8
    DOIs
    Publication statusPublished - 2013
    MoE publication typeA4 Article in a conference publication
    EventEuropean Control Conference (ECC) - 2013 European Control Conference
    Duration: 17 Jul 201319 Jul 2013

    Conference

    ConferenceEuropean Control Conference (ECC)
    Period17/07/1319/07/13

    Keywords

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

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