Decomposition of Time-Scales in Linear Systems Using Dominant Eigenspace Power Iterations and Matched Asymptotic Expansions.

Abstract

Many control theory concepts are valid for any system order, however, their actual use is limited to low order models. Large scale systems result not only in a formidable amount of computation, but also in ill-conditioned initial and two point boundary value problems. The interaction of fast and slow phenomena in high-order systems results in stiff numerical problems which require expensive integration routines. The singular perturbations approach to decomposing fast ad slow phenomena involves using a time-scale separation technique. In ths case a reduced order 'steady state' and 'boundary layer' solutions are obtained from a high order model. Control designs and simulations for the high order model are then carried out on the reduced order subsystems. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1979
Accession Number
ADA085260

Entities

People

  • P. V. Kokotovic
  • R. G. Phillips

Organizations

  • University of Illinois Urbana–Champaign

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Asymptotic Series
  • Boundaries
  • Boundary Layer
  • Boundary Value Problems
  • Classification
  • Closed Loop Systems
  • Computations
  • Differential Equations
  • Eigenvalues
  • Equations
  • Linear Systems
  • Perturbations
  • Power Series
  • Steady State
  • Systems Engineering
  • Variational Equations

Readers

  • Computational Fluid Dynamics (CFD)
  • Linear Algebra
  • Theoretical Analysis.