Multiplicative Quaternion Extended Kalman Filtering for Nonspinning Guided Projectiles

Abstract

The problem of estimating the attitude, velocity, and position states of a slow to nonspinning, gun-launched projectile is addressed through the use of an extended Kalman filter (EKF). The EKF is constructed using an error-state mechanization similar to those used in traditional inertial navigation applications, although the kinematics are simplified by assuming the Earth-fixed reference frames used for tactical applications are inertial. The advantages of using quaternions rather than Euler angles to represent projectile attitude are discussed, and the use of multiplicative quaternion error states is given detailed attention as this leads to fundamental differences from most other extended Kalman filter implementations that tend to assume additive error states. The measurements and heuristic information available for most projectile applications are incorporated into the EKF. Two sets of simulation results involving a direct-fire system and an indirect-fire system are presented.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 2013
Accession Number
ADA588831

Entities

People

  • James M. Maley

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Sensors
  • Weapons Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Coordinate Systems
  • Data Science
  • Estimators
  • Euler Angles
  • Filters
  • Guidance
  • Gun Launched
  • Indirect Fire
  • Inertial Measurement Units
  • Inertial Navigation
  • Kalman Filtering
  • Kalman Filters
  • Mathematical Filters
  • Measurement
  • Navigation
  • Simulations

Readers

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