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<h2 style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
style='font-family:"Courier New"'>Chapter 11<o:p></o:p></span></h2>
<pre><o:p> </o:p></pre>
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style='font-size:10.0pt;font-family:"Courier New"'><a
href="http://www.nt.ntnu.no/users/skoge/book/2nd_edition/matlab_m/Sec12_42.m"><tt>Sec12_42.m</tt></a>
Section 12.4.2 p.487<o:p></o:p></span></p>
<p style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
style='font-size:10.0pt;font-family:"Courier New"'><o:p> </o:p></span></p>
<p style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
style='font-size:10.0pt;font-family:"Courier New"'><o:p> </o:p></span></p>
<h2 style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><a
name=c12><span style='font-family:"Courier New"'>Chapter 1</span></a><span
style='font-family:"Courier New"'>3<o:p></o:p></span></h2>
<pre><o:p> </o:p></pre><pre><o:p> </o:p></pre>
<h4 style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
style='font-family:"Courier New"'>13.2 Helicopter case study <o:p></o:p></span></h4>
<pre><o:p> </o:p></pre><pre><o:p> </o:p></pre>
<p style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
style='font-size:10.0pt;font-family:"Courier New"'><a
href="http://www.nt.ntnu.no/users/skoge/book/2nd_edition/matlab_m/Sec13_2.m"><tt>Sec13_2.m</tt></a>
Section 13.2<span class=GramE> Helicopter</span> case study p.493<o:p></o:p></span></p>
<p style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
style='font-size:10.0pt;font-family:"Courier New"'><a
href="http://www.nt.ntnu.no/users/skoge/book/2nd_edition/matlab_m/db.m"><span
class=SpellE><span class=GramE><tt>db.m</tt></span></span></a>
function to get db value, used in Sec13_2.m<o:p></o:p></span></p>
<p style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
style='font-size:10.0pt;font-family:"Courier New"'><o:p> </o:p></span></p>
<h4 style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
style='font-family:"Courier New"'>13.3<span class=GramE> Aero</span>-engine
case study <o:p></o:p></span></h4>
<pre><o:p> </o:p></pre><pre><o:p> </o:p></pre>
<p style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
style='font-size:10.0pt;font-family:"Courier New"'><a
href="http://www.nt.ntnu.no/users/skoge/book/2nd_edition/matlab_m/Sec13_32.m"><tt>Sec13_32.m</tt></a>
Section 13.3.2 Aero-engine case study,<o:p></o:p></span></p>
<p style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
style='font-size:10.0pt;font-family:"Courier New"'>
Control structure design p.502<o:p></o:p></span></p>
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style='font-size:10.0pt;font-family:"Courier New"'><a
href="http://www.nt.ntnu.no/users/skoge/book/2nd_edition/matlab_m/Sec13_33.m"><tt>Sec13_33.m</tt></a>
Section 13.3.3 Aero-engine case study, <o:p></o:p></span></p>
<p style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
style='font-size:10.0pt;font-family:"Courier New"'>
Two degrees-of-freedom <span class=SpellE>H_inf</span> design p.506<o:p></o:p></span></p>
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style='font-size:10.0pt;font-family:"Courier New"'><a
href="http://www.nt.ntnu.no/users/skoge/book/2nd_edition/matlab_m/Aero2DOF.m"><tt>Aero2DOF.m</tt></a>
<span class=SpellE>H_inf</span> 2-DoF controller design example<o:p></o:p></span></p>
<p style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
style='font-size:10.0pt;font-family:"Courier New"'>
<span class=GramE>see</span> section 13.3.3 on p.506 and Table 9.3 on p.375<o:p></o:p></span></p>
<p style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
style='font-size:10.0pt;font-family:"Courier New"'><a
href="http://www.nt.ntnu.no/users/skoge/book/2nd_edition/matlab_m/aero1.mat"><span
class=GramE><tt>aero1.mat</tt></span></a>
Aero-engine model part 1, used in Sec13_32.m and Sec13_33.m<o:p></o:p></span></p>
<p style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
style='font-size:10.0pt;font-family:"Courier New"'><a
href="http://www.nt.ntnu.no/users/skoge/book/2nd_edition/matlab_m/aero2.mat"><span
class=GramE><tt>aero2.mat</tt></span></a>
Aero-engine model part 2, used in Sec13_32.m<o:p></o:p></span></p>
<p style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
style='font-size:10.0pt;font-family:"Courier New"'><a
href="http://www.nt.ntnu.no/users/skoge/book/2nd_edition/matlab_m/align.m"><span
class=SpellE><span class=GramE><tt>align.m</tt></span></span></a>
function to get real alignment, used in Sec13_33.m<o:p></o:p></span></p>
<p style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
style='font-size:10.0pt;font-family:"Courier New"'><o:p> </o:p></span></p>
<h4 style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
style='font-family:"Courier New"'>13.4 Distillation case study <o:p></o:p></span></h4>
<pre><o:p> </o:p></pre><pre><o:p> </o:p></pre><pre><tt><u><span
style='color:blue'><a
href="http://www.nt.ntnu.no/users/skoge/book/2nd_edition/matlab_m/cola/cola_commands.m"><span
class=SpellE><span class=GramE>cola_commands.m</span></span> </a></span></u></tt> Collection of useful commands for RGA, CLDG, PRGA, singular values, etc.</pre>
<p style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
style='font-size:10.0pt;font-family:"Courier New"'><o:p> </o:p></span></p>
<p style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
style='font-size:10.0pt;font-family:"Courier New"'>See the other chapters for
use of the idealized linear two-state LV-model<o:p></o:p></span></p>
<p style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
class=GramE><span style='font-size:10.0pt;font-family:"Courier New"'>in</span></span><span
style='font-size:10.0pt;font-family:"Courier New"'> (12.17); see the summary on
page 492 in the book for details. <o:p></o:p></span></p>
<p style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
style='font-size:10.0pt;font-family:"Courier New"'><o:p> </o:p></span></p>
<p style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
style='font-size:10.0pt;font-family:"Courier New"'><a
href="http://www.nt.ntnu.no/users/skoge/book/2nd_edition/matlab_m/cola/cola.html">Click
here</a> for details about the 82 state nonlinear distillation model and <o:p></o:p></span></p>
<p style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
class=GramE><span style='font-size:10.0pt;font-family:"Courier New"'>how</span></span><span
style='font-size:10.0pt;font-family:"Courier New"'> to generate the ``full''
linear model. It is the basis for the following:<o:p></o:p></span></p>
<p style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
style='font-size:10.0pt;font-family:"Courier New"'><o:p> </o:p></span></p>
<p style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
style='font-size:10.0pt;font-family:"Courier New"'><a
href="http://www.nt.ntnu.no/users/skoge/book/2nd_edition/matlab_m/cola/cola_G4.m"><span
class=GramE><tt>cola_G4.m</tt></span></a>
Generates the linear model in <a
href="http://www.nt.ntnu.no/users/skoge/book/1st_edition/matlab_m/G4.mat"><tt>G4.mat</tt></a><o:p></o:p></span></p>
<p style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
style='font-size:10.0pt;font-family:"Courier New"'><a
href="http://www.nt.ntnu.no/users/skoge/book/2nd_edition/matlab_m/G4.mat"><tt>G4.mat</tt></a>
82 state linear model with 6 inputs and 4 outputs, used in Tab12_3.m <o:p></o:p></span></p>
<p style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
style='font-size:10.0pt;font-family:"Courier New"'>
Start MATLAB and write <b>load G4</b> and <b>help cola_G4</b><o:p></o:p></span></p>
<p style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
style='font-size:10.0pt;font-family:"Courier New"'><a
href="http://www.nt.ntnu.no/users/skoge/book/2nd_edition/matlab_m/Tab13_3.m"><tt>Tab13_3.m</tt></a>
Table 13.3, p.510. <o:p></o:p></span></p>
<p style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
style='font-size:10.0pt;font-family:"Courier New"'>
<span class=GramE>Generates linear models for various configurations.</span><o:p></o:p></span></p>
<p style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
style='font-size:10.0pt;font-family:"Courier New"'>
The basis is G4 (full linear models with 82 states).<o:p></o:p></span></p>
<p style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
style='font-size:10.0pt;font-family:"Courier New"'><a
href="http://www.nt.ntnu.no/users/skoge/book/2nd_edition/matlab_m/Sec13_42.m"><tt>Sec13_42.m</tt></a>
Section 13.4.2, p.512. <o:p></o:p></span></p>
<p style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
style='font-size:10.0pt;font-family:"Courier New"'>
This is the 5 state linear LV-model used in the book.<o:p></o:p></span></p>
<p style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
style='font-size:10.0pt;font-family:"Courier New"'>
It is very similar to the full 82-state model.<o:p></o:p></span></p>
<p style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span
style='font-size:10.0pt;font-family:"Courier New"'><a
href="http://www.nt.ntnu.no/users/skoge/book/2nd_edition/matlab_m/cola/cola_test.m"><span
class=SpellE><span class=GramE><tt>cola_test.m</tt></span></span></a>
Simulate with nonlinear model and <span class=SpellE>linearize</span><o:p></o:p></span></p>
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