Singular perturbations and order reduction in control theory - An overview

  • Authors:

  • P. V. Kokotovic;R. E. O'Malley, Jr.;P. Sannuti

  • Affiliations:

  • Department of Electrical Engineering and Coordinated Science Laboratory, University of Illinois, Urbana, IL 61801, U.S.A.;Department of Mathematics, University of Arizona, Tucson, AR 85721, U.S.A.;Department of Electrical Engineering, Rutgers the State University, New Brunswick, NJ 08903, U.S.A.

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 1976

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Abstract

Recent results on singular perturbations are surveyed as a tool for model order reduction and separation of time scales in control system design. Conceptual and computational simplifications of design procedures are examined by a discussion of their basic assumptions. Over 100 references are organized into several problem areas. The content of main theorems is presented in a tutorial form aimed at a broad audience of engineers and applied mathematicians interested in control, estimation and optimization of dynamic systems.