Wheel Encoder, Tachometer model & noise?

[htnicolas]

Hi all, 

I am looking for mathematical models that represent the state of a wheel encoder and a tachometer.

From that, and the underlying physics of these devices, I'll characterize the noise for each. 

Example: for a GPS module, the state vector x can be represented as x=[ position    velocity    clock_bias]'

and the model can be written as

x_k+1 = A*x_k + noise           with A some square matrix that involves angular velocity, gravity vector etc.

I'm not sure where to get that type of basic info. I tried looking up datasheets and IEEEXplore, to no avail.

If somebody could give me some pointers, that would be very appreciated.

Thank you!

Nicolas

[fromm8]

You can look for documents from System models or Automatic Control; there you can find some information about mathematic models. You can try with an empiric model too; you can find this information in Linear System Analysis’s literature. Regarding to LabVIEW, you can take a look for LabVIEW PID and Fuzzy Logic Toolkit (check the link for more information).

LabVIEW PID and Fuzzy Logic Toolkit