Singular Perturbations and Time-Scale Methods in Control Theory: Survey 1976-1982.

Abstract

Recent progress in the use of singular perturbation and two-time-scale methods of modeling and design for control systems is reviewed. Over 400 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. Table of Contents: Two-Time-Scale Systems; System Properties; Linear Composite Control; Nonlinear and Adaptive Control; Stochastic Filtering and Control; High-Gain Feedback Systems; Weak Coupling and Time Scales; and Control of Large Scale Systems.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1982
Accession Number
ADA125908

Entities

People

  • J. O'reilly
  • P. V. Kokotovic
  • V. R. Saksena

Organizations

  • University of Illinois Urbana–Champaign

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies
  • Ground and Sea Platforms
  • Materials and Manufacturing Processes
  • Weapons Technologies

DTIC Thesaurus Topics

  • Closed Loop Systems
  • Control Systems
  • Control Systems Engineering
  • Control Theory
  • Difference Equations
  • Differential Equations
  • Electrical Engineering
  • Engineers
  • Linear Systems
  • Lyapunov Functions
  • Mathematical Filters
  • Numerical Analysis
  • Random Variables
  • Servomechanisms
  • Stochastic Processes
  • Systems Engineering
  • Systems Science

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