A tutorial on incremental stability analysis using contraction theory

Jerome Jouffroy, Thor I. Fossen

    Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

    Abstrakt

    This paper introduces a methodology for dierential nonlinear stability analysis using contraction theory (Lohmiller and Slotine, 1998). The methodology includes four distinct steps: the descriptions of two systems to be compared (the plant and the observer in the case of observer convergence analysis, the plant and the controller in the case of tracking controller analysis), the denition of an abstract system common to the two systems and denoted as the \virtual system", and the convergence study of the virtual system using its virtual dynamics representation. The approach is illustrated on several simple examples.
    OriginalsprogEngelsk
    TidsskriftModeling, Identification and Control (Online Edition)
    Vol/bind31
    Udgave nummer3
    Sider (fra-til)93-106
    Antal sider14
    ISSN0332-7353
    StatusUdgivet - 2010

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