Chapter 4. Linear Optimal Filters and Predictors

  1. Mohinder S. Grewal1,
  2. Angus P. Andrews2

Published Online: 29 JAN 2008

DOI: 10.1002/9780470377819.ch4

Book Title

Kalman Filtering: Theory and Practice Using MATLAB®, Third Edition

Kalman Filtering: Theory and Practice Using MATLAB®, Third Edition

Additional Information

How to Cite

Grewal, M. S. and Andrews, A. P. (2008) Linear Optimal Filters and Predictors, in Kalman Filtering: Theory and Practice Using MATLAB®, Third Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470377819.ch4

Author Information

  1. 1

    California State University at Fullerton, USA

  2. 2

    Rockwell Science Center, USA

Publication History

  1. Published Online: 29 JAN 2008
  2. Published Print: 25 AUG 2008

ISBN Information

Print ISBN: 9780470173664

Online ISBN: 9780470377819

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Keywords:

  • linear optimal filters and predictors;
  • matrix Riccati differential equation;
  • transformed state variables and model equations

Summary

This chapter contains sections titled:

  • Chapter Focus

  • Kalman Filter

  • Kalman–Bucy Filter

  • Optimal Linear Predictors

  • Correlated Noise Sources

  • Relationships Between Kalman–Bucy and Wiener Filters

  • Quadratic Loss Functions

  • Matrix Riccati Differential Equation

  • Matrix Riccati Equation In Discrete Time

  • Model Equations for Transformed State Variables

  • Application of Kalman Filters

  • Summary

  • Problems

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