Automatic Computation of Root Locus Using Digital Computer

Abstract

The problem of computing the root locus is transformed into the format of repeated solutions of the characteristic equation expressed as a polynomial equation of degree N. To resolve the problem of convergence, a simultaneous Newton-Raphson and Bairstow iteration, with substitution of variables when required, is employed to solve the polynomial equation. By means of a systematized iterative process, a program is developed in FORTRAN language for the IBM 1620 which computes the root locus automatically. Several root loci formed by plotting the roots evaluated by the computer, which are accurate to at least four figures, are provided in the Appendices.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1961
Accession Number
AD0269426

Entities

People

  • Stuart B. Herndon

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Closed Loop Systems
  • Computer Programming
  • Computer Programs
  • Computers
  • Control Systems
  • Data Processing
  • Digital Computers
  • Engineering
  • Engineers
  • Equations
  • Feedback
  • Iterations
  • Language
  • Machine Languages
  • Numerical Analysis
  • Programming Languages
  • Transfer Functions

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