THE SINGULARITY PROBLEM IN FINAL VALUE CONTROL,

Abstract

Final value control of linear plants is discussed. An expression for the closed-loop fundamental matrix is presented in terms of the open-loop transition matrix. It is shown that for scalar minimum-energy final value control the singularities in the feedback loops are inversely proportional to the order of the derivative being fed back; that is, the position loop has an nth order singularity, the velocity loop an (n-1)th order singularity, etc. A partially-closed-loop control is developed that allows the highest-order feedback singularity to be set between n and zero and the results are illustrated by examples. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1967
Accession Number
AD0664319

Entities

People

  • A. R. Stubberud

Organizations

  • The Aerospace Corporation

Tags

DTIC Thesaurus Topics

  • Feedback
  • Motion
  • Transitions

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Control Systems Engineering.