Decoupling and Order Reduction for Linear Time-Varying Two-Time-Scale Systems.

Abstract

The class of time-varying linear systems which are two-time-scale on an interval may be decoupled by a time-varying transformation of variables into separate subsystems containing the slow and fast dynamic parts. The transformation is obtained by solving a nonsymmetric Riccati differential equation forward in time and a linear matrix differential equation backward in time. Small parameters are identified which measure the strength of the time scale separation and the stability of the fast subsystem. As these parameters go to zero, the order of the system is reduced and a useful approximate solution to the original system is obtained. The transformation is illustrated for examples with strong and weak fast subsystem stability. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1980
Accession Number
ADA094579

Entities

People

  • Leonard R. Anderson
  • Robert E. O'malley Jr.

Organizations

  • University of Arizona

Tags

Communities of Interest

  • Air Platforms
  • Space

DTIC Thesaurus Topics

  • Applied Mathematics
  • Decoupling
  • Differential Equations
  • Eigenvalues
  • Engineering
  • Engines
  • Equations
  • Guide Vanes
  • Inlet Guide Vanes
  • Intervals
  • Linear Differential Equations
  • Linear Systems
  • Mathematics
  • Riccati Equation
  • Steady State
  • Turbofan Engines
  • Variational Equations

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Linear Algebra