USE OF TIME-VARYING FEEDBACK GAIN TO IMPROVE SYSTEM RESPONSE

Abstract

The rise time of the unit step response of a second order system is shown to be improved by means of a feedback loop consisting of an exponentially time-varying gain. Analysis of the proposed system essentially consists of determining the solution of a linear differential equation with time-varying coefficients. A good approximation to the solution is readily obtained by the application of Laplace Transform Theory to Picard's Theorems on Existence and the Method of Successive Approximations. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 19, 1961
Accession Number
AD0260574

Entities

People

  • John V. Abbate

Organizations

  • New York University Tandon School of Engineering

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Differential Equations
  • Equations
  • Feedback
  • Linear Differential Equations
  • Mathematical Analysis
  • Mathematics
  • Nonlinear Differential Equations
  • Real Variables

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Calculus or Mathematical Analysis
  • Control Systems Engineering.