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## Learning the Kalman Filter: A Feedback Perspective

version 1.1 (218 KB) by

A feedback view of Kalman filter to gain more useful insights.

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7 Ratings

Updated

The Kalman filter is a feedback system. A Simulink model is developed to view this more clearly. From the feedback blocks, it is clear the normal Kalman filter is a linear time-variant system. By replacing the time-varying filter gain with its steady-state values, a simple linear time-invariant version of Kalman filter is provided in Simulink as well. Examples show that all these models provide similar performance.

sam

thanks very much

mohamed meridjet

### mohamed meridjet (view profile)

thank you for this example A+

Denis

zhou jianshan

### zhou jianshan (view profile)

Thank you for your sharing, thanks very much!

justice wei

GOOD EXAMPLE

V. Poor

### V. Poor (view profile)

YH Zhang

HI, YICao, I'm grad to see that the typo has removed quickly.
Now I have a question about the sampling period in your example 2:predict the position and velocity of a moving train.
For some latency or some other reasons in reality, I can't keep the sample period as a constant value. for example, I measurement the position at the time: 0.1, 0.3, 0.7, 0.8....... This means that the Equation : X(k) = AX(k-1) + BU(k-1) + W(k-1). the Matrix A is not a constant(time-variance) . So, can I still use the kalman filter? or I could use some non-linear method. Thank you.

chita samir

N/A

Yi Cao

Thank you yh Zhang. The typo has been corrected now. It may take a few days to be online.

YH Zhang

the formula(5) Kk = Pk|k-1 * C^T * Sk^-1 ( Change A to C)

Zhang YH

This is a great tutorial about Kalman filter, since there are many articles on the "matlab file exchange" talking about kalman filter. Your tutorial had made a summary and a survey which is very important for the beginners like me. Also, you add your some news view of kalman filter. Thank you very much!

manoj agrawal

 19 Feb 2011 1.1 update descriptions. 21 Mar 2008 add missing png files in the html folder. 27 Feb 2008 update html description 5 Feb 2008 add slimulink requirement
##### MATLAB Release
MATLAB 7.5 (R2007b)