REAL-TIME IMPLEMENTATION OF THE KALMAN FILTER FOR TRAJECTORY ESTIMATION

Abstract

The study addressed itself to the problem of real-time implementation of the Kalman filter for estimating ballistic trajectories. The Kalman filter is an extremely effective algorithm for estimation of ballistic trajectories, although the computational requirements of ballistic trajectories, although the computational requirements of the fully implemented Kalman filter are quite severe. In this report, several approaches that may be used to modify the Kalman filtering algorithm in order to reduce the computational requirements are described. The most promising approach of those considered is the piecewise- recursive Kalman filter. As shown by the numerical results obtained from extensive computer simulations, the piecewise-recursive Kalman filter can process measurements of a single target at a computational speed (on the Univac 1108) that is about 20 to 25 times faster than real time for the endoatmospheric cases and about 500 times faster than real time for the exoatmospheric cases, and yet obtain estimation accuracy approaching that of the fully implemented Kalman filter. This increased filter capability is invaluable for the real-time estimation of multiple targets.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1968
Accession Number
AD0699424

Entities

People

  • Dale W. Ross
  • Robert M. Dressler

Organizations

  • SRI International

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Ballistic Missiles
  • Ballistic Trajectories
  • Computational Science
  • Computations
  • Computer Programs
  • Computer Simulations
  • Data Rate
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Filters
  • Filtration
  • Kalman Filtering
  • Kalman Filters
  • Mathematical Filters
  • Reentry Vehicles

Readers

  • Computational Modeling and Simulation
  • Missile Defense Systems.
  • Phased Array Antenna Design.