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As discussed before, the transfer function of a second order system is
where can be either ,
, or , and
and are the two roots of the denominator:
Note that when , the poles are a complex conjugate pair which can be
written in polar form as well as in Cartesian form:
where
How the magnitude of the frequency response changes as a function
of frequency can be qualitatively determined from the pole-zero plot of
. For convenience, we define these vectors in the s-plane:
Next: Root locus of Second
Up: Evaluation of Fourier Transform
Previous: First order system
Ruye Wang
2012-01-28