Difference between revisions of "Errata: In the paragraph above Example 9.3, G(*) should be L(*)"
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{{errata page | {{errata page | ||
− | | chapter = | + | | chapter = Frequency Domain Analysis |
− | | page = | + | | page = 272 |
− | | line = | + | | line = 10,11 |
− | | contributor = | + | | contributor = J. W. Kim |
− | | date = | + | | date = 27 Nov 2011 |
− | | rev = 2. | + | | rev = 2.11a |
| version = Third printing | | version = Third printing | ||
| text = | | text = | ||
+ | For computing the Nyquist plot, it is the loop transfer function <amsmath>L(i\omega)</amsmath> that should be used. The paragraph should read: | ||
+ | <blockquote> | ||
+ | An alternative to computing the Nyquist plot explicitly is to | ||
+ | determine the plot from the frequency response (Bode plot), which | ||
+ | gives the Nyquist curve for <amsmath>s = i \omega</amsmath>, <amsmath>\omega > 0</amsmath>. We start by | ||
+ | plotting <amsmath>{\color{blue}L}(i\omega)</amsmath> from <amsmath>\omega = 0</amsmath> to <amsmath>\omega = \infty</amsmath>, which | ||
+ | can be read off from the magnitude and phase of the transfer function. | ||
+ | We then plot <amsmath>{\color{blue}L}(R e^{i\theta})</amsmath> with <amsmath>\theta \in [-\pi/2, \pi/2]</amsmath> and <amsmath>R | ||
+ | \to \infty</amsmath>, which almost always maps to zero. The remaining parts of | ||
+ | the plot can be determined by taking the mirror image of the curve | ||
+ | thus far (normally plotted using a dashed line). The plot can | ||
+ | then be labeled with arrows corresponding to a clockwise | ||
+ | traversal around the D contour (the same direction in which the first | ||
+ | portion of the curve was plotted). | ||
+ | </blockquote> | ||
}} | }} |
Latest revision as of 00:42, 29 September 2012
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Location: page 272, line 10,11
For computing the Nyquist plot, it is the loop transfer function that should be used. The paragraph should read:
An alternative to computing the Nyquist plot explicitly is to determine the plot from the frequency response (Bode plot), which gives the Nyquist curve for
,
. We start by plotting
from
to
, which can be read off from the magnitude and phase of the transfer function. We then plot
with
and
, which almost always maps to zero. The remaining parts of the plot can be determined by taking the mirror image of the curve thus far (normally plotted using a dashed line). The plot can then be labeled with arrows corresponding to a clockwise traversal around the D contour (the same direction in which the first portion of the curve was plotted).
(Contributed by J. W. Kim, 27 Nov 2011)