Difference between revisions of "Errata: In Exercise 6.13, R should be removed and rho should be rho 1"

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{{errata page
 
{{errata page
| chapter =  
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| chapter = State Feedback
| page =  
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| page=200|line=9
| line =  
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| contributor = J. Berg
| contributor = R. M. Murray
+
| date = 17 Oct 08
| date =  
+
 
| version = First printing
 
| version = First printing
 
| text =  
 
| text =  
 +
Using the notation defined in the subsection on Linear Quadratic Regulators (part of Section 6.3), the matrix <math>R</math> in part (c) is not needed.  Instead, <math>\rho</math> should be <math>\rho_1</math>, corresponding to the weight for <math>Q_u</math>.
 +
 +
The revised text for the part (c) of the problem should read
 +
<blockquote>
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Compute state feedback gains using linear quadratic
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  control. Experiment by using different weights. Compute the gains
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  for <math>q_1=q_2=0,q_3=q_4=1</math> and <math>\rho_1=0.1</math> and explain the
 +
  result. Choose <math>q_1=q_2=q_3=q_4=1</math> and explore what happens to the
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  feedback gains and closed loop eigenvalues when you change
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  <math>\rho_1</math>. Use the scaled system for this computation.
 +
</blockquote>
 
}}
 
}}

Latest revision as of 04:50, 20 October 2008

Return to Errata page

Location: page 200, line 9

Using the notation defined in the subsection on Linear Quadratic Regulators (part of Section 6.3), the matrix in part (c) is not needed. Instead, should be , corresponding to the weight for .

The revised text for the part (c) of the problem should read

Compute state feedback gains using linear quadratic control. Experiment by using different weights. Compute the gains for and and explain the result. Choose and explore what happens to the feedback gains and closed loop eigenvalues when you change . Use the scaled system for this computation.

(Contributed by J. Berg, 17 Oct 08)