THE EFFECT OF A PURE TIME DELAY ON THE STABILITY OF A PHASE-LOCK LOOP.

Abstract

The report discusses the effect of 'transport lag' or pure time delay in the feedback loop of a phase-lock control system. The system analyzed is that which controls the relative phases of several transmitters to provide a coherent signal at a satellite. The report first derives the equation of the control loop, linearizes the resulting differential-difference equation, considers the loop to have unity compensation, and proceeds to discuss the solution. The results of this analysis are that, for stable operation, the loop gain may not exceed pi/2T for a time delay of T seconds, which results in a steady-state phase error of 2 omega(o)T/pi. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1966
Accession Number
AD0630473

Entities

People

  • R. T. Compton Jr.

Organizations

  • Ohio State University

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Artificial Satellites
  • Closed Loop Systems
  • Compensation
  • Control Systems
  • Difference Equations
  • Equations
  • Feedback
  • Mathematical Analysis
  • Mathematics
  • Steady State
  • Transmitters
  • Transport Ships

Readers

  • Control Systems Engineering.
  • Radio communications and signal processing.

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers