Robustness analysis of linear periodic time-varying systems subject to structured uncertainty

Jongrae Kim, Declan Bates, Ian Postlethwaite

    Research output: Contribution to journalArticlepeer-review

    18 Citations (Scopus)

    Abstract

    In this paper, we show how Floquet theory may be combined with a technique known as Lifting to cast a linear periodically time-varying system subject to structured linear time invariant uncertainty in the form of a linear fractional transformation. The stability and performance robustness of the resulting system may then be analysed using standard μ-analysis methods. A significant advantage of the proposed approach is that it allows the computation of a worst-case destabilising uncertainty combination which may be used to estimate the conservatism of the computed robustness margin. An example is given to illustrate the application of the proposed approach.
    Original languageEnglish
    Pages (from-to)719-725
    JournalSystems & Control Letters
    Volume55
    Issue number9
    DOIs
    Publication statusPublished - 2006

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