Composite control of non-linear singularly perturbed systems: A geometric approach: International Journal of Control

P.M. Sharkey, J. O’reilly

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    22 Scopus citations

    Abstract

    Using a geometric approach, a composite control—the sum of a slow control and a fast control—is derived for a general class of non-linear singularly perturbed systems. A new and simpler method of composite control design is proposed whereby the fast control is completely designed at the outset. The slow control is then free to be chosen such that the slow integral manifold of the original system approximates a desired design manifold to within any specified order of ϵ accuracy. © 1988 Taylor & Francis Group, LLC.
    Original languageBritish English
    Pages (from-to)2491-2506
    Number of pages16
    JournalInt J Control
    Volume48
    Issue number6
    DOIs
    StatePublished - 1988

    Keywords

    • Mathematical Techniques
    • Composite Control
    • Fast Control
    • Integral Manifolds
    • Singularly Perturbed Systems
    • Slow Control
    • State Feedback
    • Control Systems, Nonlinear

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