Difference between revisions of "Errata: In Example 9.9, 'gain margin' g m should be 'stability margin' s m"

From FBSwiki
Jump to: navigation, search
 
Line 1: Line 1:
 
 
{{errata page
 
{{errata page
| chapter =  
+
| chapter = Frequency Domain Analysis
| page =  
+
| page = 282
| line =  
+
| line = -11, -9
| contributor = R. M. Murray
+
| contributor = Seoul National University
| date =  
+
| date = 7 Dec 2010
 
| rev = 2.10d
 
| rev = 2.10d
 
| version = Third printing
 
| version = Third printing
 
| text =  
 
| text =  
 +
In this example, the ''stability'' margin is computed, not that gain margin.  The correct text is
 +
<blockquote>
 +
... which means that the <font color=blue>stability</font> margin is <font color=blue><math>s_m</math></font><math>=1-k_i/(2\zeta
 +
\omega_0)</math>. To have a desired <font color=blue>stability</font> margin of <font color=blue><math>s_m</math></font> the integral
 +
gain should be chosen as
 +
<center><amsmath>
 +
  k_i=2 \zeta \omega_0 (1-{\color{blue} s_m}).
 +
</amsmath></center>
 +
</blockquote>
 
}}
 
}}

Latest revision as of 18:41, 28 August 2011

Return to Errata page

Location: page 282, line -11, -9

In this example, the stability margin is computed, not that gain margin. The correct text is

... which means that the stability margin is . To have a desired stability margin of the integral gain should be chosen as

math

(Contributed by Seoul National University, 7 Dec 2010)