APPLICATION OF THE KALMAN FILTER TO SEQUENTIAL OPTIMAL PARAMETER ESTIMATION VIA HOUSEHOLDER'S MATRIX INVERSION METHOD.

Abstract

A detailed derivation of the computable discrete equations for parameter estimation are developed in a geometrical vector-space setting for the state-space novice. Classical least squares curve fitting when approached with Kalman's sequential prediction-correction techniques look like state-vector feedback control problems. It is hoped that this paper will help bridge the gap between some of the modern and classical theory of systems analysis. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1967
Accession Number
AD0654027

Entities

People

  • James Pappas

Organizations

  • United States Army Test and Evaluation Command

Tags

DTIC Thesaurus Topics

  • Curve Fitting
  • Equations
  • Feedback
  • Filters
  • Inversion
  • Kalman Filters
  • Mathematical Analysis
  • Mathematical Filters
  • Mathematics
  • Systems Analysis
  • Vector Spaces

Fields of Study

  • Engineering

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Linear Algebra
  • Theoretical Analysis.

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers