RAPID APPROXIMATION OF SERVOMECHANISM FREQUENCY RESPONSE.

Abstract

The purpose of this thesis was to develop a technique by which the frequency response of a servomechanism might be rapidly evaluated by graphical methods. The approach consisted of developing several frequency response parameters related to the location of the poles and zeros of the closed loop transfer function of a servomechanism. The systems considered were the pure second order (one pair of complex conjugate poles), second order with one zero (one pair of complex conjugate poles and one real zero), and a pure third order (one pair of complex conjugate poles and one real pole). For the latter two systems, the complex poles and the frequency were redefined as referred values relative to the real pole or zero. Loci of constant frequency response parameters were mapped onto a complex plane; or loci of constant imaginary referred pole locations were mapped onto an auxiliary complex plane, depending upon the specific system considered. Using the points obtained from the appropriate relationship, the frequency response, M and N contours, could be rapidly and easily sketched. The M and N contours could then be used as a basis for rapid system evaluation in the frequency domain.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1962
Accession Number
AD0482371

Entities

People

  • Vaughn E. Wilson Jr.
  • William F. Sallada

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Analog Computers
  • Bandwidth
  • Computer Programs
  • Computers
  • Control Systems
  • Digital Computers
  • Electrical Engineering
  • Engineering
  • Equations
  • Frequency
  • Frequency Domain
  • Frequency Response
  • Resonant Frequency
  • Servomechanisms
  • Square Roots
  • Transfer Functions
  • United States

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.