On the robustness analysis of nonlinear systems subject to time-invariant and/or time-varying uncertainty

Declan Bates, Sajjad Fekri, Prathyush Menon, Ian Postlethwaite

    Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

    Abstract

    We propose a novel approach for computing lower bounds on robust stability or performance for nonlinear systems subject to time-invariant and/or time-varying uncertainty. The approach exploits the binary coding mechanism used in defining chromosomes for evolutionary search algorithms, in order to allow the uncertain parameter space to be searched over time, thus allowing the computation of destabilising time-varying uncertain parameters. The resulting lower bounds can be used to check the conservatism of upper bounds computed using tools such as the Popov Criterion, IQC's and various extensions of the structured singular value theory. The usefulness of the proposed approach is illustrated via an example.
    Original languageEnglish
    Title of host publicationProceedings of the CEC 2007: IEEE Congress on Evolutionary Computation
    Place of PublicationPiscataway, NJ
    PublisherIEEE
    Pages3639-3645
    Number of pages4780
    ISBN (Print)978-1424413393
    DOIs
    Publication statusPublished - 2007
    EventIEEE Congress on Evolutionary Computation, 2007. CEC 2007 - Singapore
    Duration: 1 Jan 2007 → …

    Conference

    ConferenceIEEE Congress on Evolutionary Computation, 2007. CEC 2007
    Period1/01/07 → …

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