Singular perturbations and time-scale methods in control theory: Survey 1976-1983

V.R. Saksena, J. O'Reilly, P.V. Kokotovic

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    405 Scopus citations

    Abstract

    Recent progress in the use of singular perturbation and two-time-scale methods of modeling and design for control systems is reviewed. Over 350 references are organized into major problem areas. Representative issues and results are discussed with a view to outlining research directions and indicating potential areas of application. The survey is aimed at engineers and applied mathematicians interested in model-order reduction, separation of time scales and allied simplified methods of control system analysis and design. The exposition does not assume prior knowledge of singular perturbation methods. © 1984.
    Original languageBritish English
    Pages (from-to)273-293
    Number of pages21
    JournalAutomatica
    Volume20
    Issue number3
    DOIs
    StatePublished - 1984

    Keywords

    • decomposition
    • estimation
    • large-scale systems
    • nonlinear control systems
    • regulator theory
    • robustness
    • Singular perturbations
    • stability
    • MATHEMATICAL TECHNIQUES - Perturbation Techniques
    • SINGULAR PERTURBATIONS
    • TIME-SCALE METHODS
    • CONTROL SYSTEMS

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