Manoeuvring Target Tracking Using a Multiple-Model Bootstrap Filter

  • Shaun McGinnity
  • George W. Irwin
Chapter
Part of the Statistics for Engineering and Information Science book series (ISS)

Abstract

The Kalman filter (Sorensen 1966) is the optimal solution to the Bayesian estimation problem for a given linear, stochastic, state-space system with additive Gaussian noise sources of known statistics. The solution is possible since all densities in the system are Gaussian, and remain so under system transformation, and thus closed-form expressions for these are always available in terms of their first and second moments. However, if the model used by the filter does not match the actual system dynamics, the filter will tend to diverge, such that the actual errors fall outside the range predicted by the filter’s estimate of the error covariance. By introducing some degree of uncertainty into the filter, small deviations from the actual system can be tracked. This also ensures that the filter gain does not fall to zero, and thus measurements are always used to update the state estimate. The practicality of this approach for large model mismatch problems is limited however.

Keywords

Kalman Filter Extended Kalman Filter Posterior Density Lateral Acceleration Prior Density 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Shaun McGinnity
  • George W. Irwin

There are no affiliations available

Personalised recommendations