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Getting Poles and Zeroes (w/ and w/out MATLAB)
You all already know all this (right?), but I include this page because it leads nicely into the next section...
You can solve the polynomial (in s) of the
numerator
of the transfer function to get the
zeros
.
Solving the
denominator
gives frequencies of the
poles
.
We a
stable
system, we want
all poles to have negative REAL parts
.
Example 1 --
Some transfer function of interest:
The solutions to the 2nd order polynomial in the denominator yield 2 POLES, which you can find
by hand
.
Example 2 --
Some transfer function w/ a pole at ZERO:
Here, you can factor the denominator quickly and determine:
one pole is (clearly) at zero,
and the other pole is at -b/a
gonzo@mit.edu
2.010 Tutorial #3, 29-Sep-00
