Robust H∞ control of delayed singular systems with linear fractional parametric uncertainties

Shaosheng Zhou, Wei Xing Zheng

    Research output: Contribution to journalArticle

    Abstract

    This paper deals with the problem of robust H∞ control for delayed singular systems with parametric uncertainties. The parametric uncertainties are assumed to be of a linear fractional form, which includes the norm bounded uncertainty as a special case and can describe a class of rational nonlinearities. A strict linear matrix inequality (LMI) design approach is developed such that, when the LMI is feasible, a desired robust state feedback control law can be constructed, which guarantees that, for all admissible uncertainties, the resulting closed-loop system is not only regular, impulse free and stable, but also meets an H∞-norm bound constraint on disturbance attenuation. A numerical example is provided to demonstrate the application of the proposed method.
    Original languageEnglish
    Pages (from-to)147-158
    Number of pages12
    JournalJournal of the Franklin Institute
    Volume346
    Issue number2
    DOIs
    Publication statusPublished - 2009

    Keywords

    • linear matrix inequalities
    • time delay systems

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