Robust stabilization of nonlinear systems via stable kernel representations with L2-gain bounded uncertainty

Arjan van der Schaft

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    Abstract

    The approach to robust stabilization of linear systems using normalized left coprime factorizations with H∞ bounded uncertainty is generalized to nonlinear systems. A nonlinear perturbation model is derived, based on the concept of a stable kernel representation of nonlinear systems. The robust stabilization problem is then translated into a nonlinear disturbance feedforward H∞ optimal control problem, whose solution depends on the solvability of a single Hamilton-Jacobi equation.
    Original languageUndefined
    Pages (from-to)75-81
    Number of pages7
    JournalSystems and control letters
    Volume24
    Issue number24
    DOIs
    Publication statusPublished - 1995

    Keywords

    • METIS-140835
    • IR-30195

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