The Nearly Singular Linear Regulator Problem.

Abstract

An asymptotic solution to the linear state regulator problem with cheap control is obtained by using a linear feedback control and asymptotically solving the singularly perturbed equations for the Riccati gain and the resulting trajectories. Such problems arise in a variety of important control contexts. The resulting singular perturbation problems are nontrivial and the resulting boundary layer behavior has significant interpretation for the applications.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1975
Accession Number
ADA006635

Entities

People

  • Robert E. O'malley Jr.

Organizations

  • University of Arizona

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Differential Equations
  • Equations
  • Feedback
  • Layers
  • Mathematical Analysis
  • Mathematics
  • Perturbations
  • Regulators
  • Trajectories
  • United States

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.