Singular Perturbation of the Linear State Regulator.

Abstract

The presently established Singular Perturbation Theory for nonlinear differential equations is used in this thesis to find an approximate solution of the linear regulator problem in optimal control. The transient behavior of certain fast state variables is neglected by introducing an artificial parameter, lambda, which multiplies the derivatives of these variables in the state equations. This parameter is then set to zero at an appropriate point in the solution of the problem to reduce the computational time and storage requirements. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1971
Accession Number
AD0733899

Entities

People

  • Richard Alan Yackel

Organizations

  • University of Illinois Urbana–Champaign

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Equations Of State
  • Lepidoptera
  • Linear Differential Equations
  • Mathematical Analysis
  • Mathematics
  • Nonlinear Differential Equations
  • Perturbation Theory
  • Perturbations
  • Real Variables
  • Regulators

Fields of Study

  • Mathematics

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Linear Algebra
  • Robotics and Automation.