Optimal State Estimation of Ballistic Trajectories with Angle-Only Measurements

Abstract

An iterative least square estimation algorithm is dervied and applied to the problem of state estimation of ballistic trajectories with angle-only measurements. A filter initiation procedure is suggested. The application of trajectory a priori knowledge for improving the estimate is discussed and solved as a constrained estimation problem. A Monte Carlo simulation study was conducted to evaluate these techniques. It was found that the iterative least square filter achieves the Cramer-Rao bound and it performs better than the extended Kalman filter when the sensor is on a free-falling platform. When the sensor is on a stationary platform however, both estimators asymptotically achieve the Cramer-Rao bound.

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Document Details

Document Type
Technical Report
Publication Date
Jan 24, 1979
Accession Number
ADA067354

Entities

People

  • Chaw-bing Chang

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Materials and Manufacturing Processes
  • Weapons Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Ballistic Trajectories
  • Cartesian Coordinates
  • Data Science
  • Differential Equations
  • Equations
  • Estimators
  • Filters
  • Geometry
  • Information Science
  • Kalman Filters
  • Mathematical Filters
  • Measurement
  • Simulations
  • Statistical Algorithms
  • Statistical Analysis
  • Trajectories

Fields of Study

  • Engineering

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.