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

  • Authors:

  • V. R. Saksena;J. O'Reilly;P. V. Kokotovic

  • Affiliations:

  • A T & T Bell Laboratories, Crawfords Corner Road, Holmdel, NJ 07733, U.S.A.;Department of Electronic and Electrical Engineering, University of Strathclyde, Glasgow G1 1XW, U.K.;Coordinated Science Laboratory, University of Illinois, Urbana, IL 61801, U.S.A.

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 1984

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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.