LAB #3 report. MAE 106. UCI. Winter 2005

Nasser Abbasi, LAB time: Thursday 1/27/2005 6 PM

Answer 1.

The motor velocity control system acts as a low pass filter.

Answer 2.

The cutoff frequency used was $44\ Hz$

From the 3 data files, I generated 3 plots. One for $0.1\omega _{c}$ and one for $\omega _{c}$ and one for $10\omega _{c}.$

From looking at the 3 plots, I see that the output of the tachmeter shows the amplitude is decreasing as the input (function generator) frequency is increasing. This means the controller acts a a low pass filter.

Below are the 3 plots geneated showing on each the actual and the velocity.


Figure


Figure


Figure

To make more clear, I also plot on the same plot, how the actual velocity changes as the input frequency changes.

This is the result.


Figure

Answer 3

MATH

Divide by MATH

MATH

for $k\gg 1,$ MATH, hence we get

MATH

But for $k\gg 1$ , MATH

hence

MATH




Hence this shows that by using feeback, and by using very large gain $k$ we can eliminate the effect of the disturbances.