A Modular Approach to Kalman Filter Design and Analysis

Abstract

Extended Kalman filters are important in navigation, guidance, and parameter estimation problems, and typically combine information from several different systems. This report discusses using error-states to model, linearize, and partition individual component systems. The system models are later combined into filters, which maintain the partitioning of the individual systems. This partitioning reduces the complexity of the covariance propagation and update operations. An example aided inertial navigation system is studied under two trajectories; tumble-test calibration and guided munition flight. Linearized error budgets for the munition trajectory were used to determine which sensor calibration errors it made the most sense to actively estimate, and which sensor errors contributed the most to the error in the optimal case where everything was estimated.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 2021
Accession Number
AD1126850

Entities

People

  • James Maley

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Sensors
  • Weapons Technologies

DTIC Thesaurus Topics

  • Accelerometers
  • Artificial Satellites
  • Computational Complexity
  • Differential Equations
  • Equations
  • Estimators
  • Filters
  • Global Positioning Systems
  • Gyroscopes
  • Inertial Measurement Units
  • Inertial Navigation
  • Inertial Navigation Systems
  • Kalman Filtering
  • Kalman Filters
  • Magnetic Fields
  • Magnetometers
  • Materials
  • Mathematical Filters
  • Measurement
  • Military Research
  • Munitions
  • Navigation
  • Random Walk
  • Simulations
  • Standards
  • Trajectories

Readers

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