Steering of Frequency Standards by the Use of Linear Quadratic Gaussian Control Theory

Abstract

Linear quadratic Gaussian control is a technique that uses Kalman filtering to estimate a state vector used for input into a control calculation. A control correction is calculated by minimizing a quadratic cost function that is dependent on both the state vector and the control amount. Different penalties, chosen by the designer, are assessed by the controller as the state vector and control amount vary from given optimal values. With this feature controllers can be designed to force the phase and frequency differences between two standards to zero either more or loss aggressively depending on the application. Data will be used to show how using different parameters in the cost function analysis affects the steering and the stability of the frequency standards.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1995
Accession Number
ADA500966

Entities

People

  • Paul Koppang
  • Robert Leland

Organizations

  • United States Naval Observatory

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Atomic Beam Masers
  • Clocks
  • Control Systems
  • Control Theory
  • Equations
  • Equations Of State
  • Filtration
  • Frequency
  • Frequency Standards
  • Global Positioning Systems
  • Kalman Filtering
  • Kalman Filters
  • Simulations
  • Standards
  • Steering
  • Time Intervals
  • United States

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Approximation Theory.