Kalman Filter Design for an Inertial Navigation System Aided by Non-Synchronous Navigation Satellite Constellations

Abstract

The report is a Kalman filter design study for the proposed Integrated Navigation Satellite/Inertial System (INI). Primary emphasis is placed upon determination of the "best" filter state variable vector and investigation of various measurement rates using external range measurements from a set of 27 non-synchronous satellites. The INI system errors are assumed to be represented by a 44 state linear system model, and the filter operates without benefit of an altimeter. A one-hour INI flight at constant speed and altitude over a great circle path is simulated on the digital computer and filter designs are compared by plotting the system position, velocity, and attitude error covariances versus time. A 15 state filter with weak coupling terms removed is determined to provide the best tradeoff between accuracy and computational burden. Filter performance is compared at 5, 15, 30, 60 and 90 second measurement update rates. Additionally, "optimal" sequencing of satellite observables is shown to provide improved performance.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1974
Accession Number
AD0779724

Entities

People

  • George Truitt Rhue
  • Ronald Ray Butler

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Air Force
  • Artificial Satellites
  • Computational Science
  • Computer Programs
  • Computer Simulations
  • Computers
  • Differential Equations
  • Equations
  • Geosynchronous Satellites
  • Inertial Navigation
  • Inertial Navigation Systems
  • Information Processing
  • Navigation
  • Navigation Satellites
  • Random Variables
  • Satellite Constellations
  • Satellite Orbits

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Inertial Navigation Systems.
  • Radar Systems Engineering.

Technology Areas

  • Space