Asymptotic stability for coupled modal sliding mode control of vibration in a flexible structure

Ming Chang Pai, Alok Sinha

    Research output: Contribution to journalArticle

    12 Citations (Scopus)

    Abstract

    This paper deals with the asymptotic stability of the coupled modal sliding mode control of a vibratory structure in the presence of parametric uncertainties. The method is based on the linear fractional transformation and the small gain theorem / μ analysis. Using a flexible tetrahedral truss structure, a numerical example is presented to verify the theoretical analysis.

    Original languageEnglish (US)
    Pages (from-to)319-324
    Number of pages6
    JournalShock and Vibration
    Volume16
    Issue number3
    DOIs
    StatePublished - Jan 1 2009

    Fingerprint

    linear transformations
    Flexible structures
    Sliding mode control
    Asymptotic stability
    sliding
    vibration
    theorems
    Uncertainty
    analysis
    method

    All Science Journal Classification (ASJC) codes

    • Civil and Structural Engineering
    • Condensed Matter Physics
    • Geotechnical Engineering and Engineering Geology
    • Mechanics of Materials
    • Mechanical Engineering

    Cite this

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    abstract = "This paper deals with the asymptotic stability of the coupled modal sliding mode control of a vibratory structure in the presence of parametric uncertainties. The method is based on the linear fractional transformation and the small gain theorem / μ analysis. Using a flexible tetrahedral truss structure, a numerical example is presented to verify the theoretical analysis.",
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    Asymptotic stability for coupled modal sliding mode control of vibration in a flexible structure. / Pai, Ming Chang; Sinha, Alok.

    In: Shock and Vibration, Vol. 16, No. 3, 01.01.2009, p. 319-324.

    Research output: Contribution to journalArticle

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