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📄 mod05.htm

📁 vTools is a toolbox for Matlab 5.3 developed within the Department of Electrical Systems and A
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  <p style='margin:0in;margin-bottom:.0001pt'>Plant matrix C</p>
  </td>
  <td width=201 valign=top style='width:151.0pt;border:none;border-right:solid windowtext .5pt;
  mso-border-left-alt:solid windowtext .5pt;background:white;padding:0in 5.4pt 0in 5.4pt'>
  <p align=center style='margin:0in;margin-bottom:.0001pt;text-align:center'>stack.general.C</p>
  </td>
 </tr>
 <tr>
  <td width=281 valign=top style='width:210.45pt;border-top:none;border-left:
  solid windowtext .5pt;border-bottom:none;border-right:solid windowtext .5pt;
  background:white;padding:0in 5.4pt 0in 5.4pt'>
  <p style='margin:0in;margin-bottom:.0001pt'>Plant matrix D</p>
  </td>
  <td width=201 valign=top style='width:151.0pt;border:none;border-right:solid windowtext .5pt;
  mso-border-left-alt:solid windowtext .5pt;background:white;padding:0in 5.4pt 0in 5.4pt'>
  <p align=center style='margin:0in;margin-bottom:.0001pt;text-align:center'>stack.general.D</p>
  </td>
 </tr>
 <tr>
  <td width=281 valign=top style='width:210.45pt;border-top:none;border-left:
  solid windowtext .5pt;border-bottom:none;border-right:solid windowtext .5pt;
  background:white;padding:0in 5.4pt 0in 5.4pt'>
  <p style='margin:0in;margin-bottom:.0001pt'>Numerator of the transfer matrix</p>
  </td>
  <td width=201 valign=top style='width:151.0pt;border:none;border-right:solid windowtext .5pt;
  mso-border-left-alt:solid windowtext .5pt;background:white;padding:0in 5.4pt 0in 5.4pt'>
  <p align=center style='margin:0in;margin-bottom:.0001pt;text-align:center'>stack.general.tfNUM</p>
  </td>
 </tr>
 <tr>
  <td width=281 valign=top style='width:210.45pt;border-top:none;border-left:
  solid windowtext .5pt;border-bottom:none;border-right:solid windowtext .5pt;
  background:white;padding:0in 5.4pt 0in 5.4pt'>
  <p style='margin:0in;margin-bottom:.0001pt'>Denominator of the transfer
  matrix</p>
  </td>
  <td width=201 valign=top style='width:151.0pt;border:none;border-right:solid windowtext .5pt;
  mso-border-left-alt:solid windowtext .5pt;background:white;padding:0in 5.4pt 0in 5.4pt'>
  <p align=center style='margin:0in;margin-bottom:.0001pt;text-align:center'>stack.general.tfDEN</p>
  </td>
 </tr>
 <tr>
  <td width=281 valign=top style='width:210.45pt;border-top:none;border-left:
  solid windowtext .5pt;border-bottom:none;border-right:solid windowtext .5pt;
  background:white;padding:0in 5.4pt 0in 5.4pt'>
  <p style='margin:0in;margin-bottom:.0001pt'>Advanced flag *</p>
  </td>
  <td width=201 valign=top style='width:151.0pt;border:none;border-right:solid windowtext .5pt;
  mso-border-left-alt:solid windowtext .5pt;background:white;padding:0in 5.4pt 0in 5.4pt'>
  <p align=center style='margin:0in;margin-bottom:.0001pt;text-align:center'>stack.general.adv_flag</p>
  </td>
 </tr>
 <tr>
  <td width=281 valign=top style='width:210.45pt;border-top:none;border-left:
  solid windowtext .5pt;border-bottom:none;border-right:solid windowtext .5pt;
  background:white;padding:0in 5.4pt 0in 5.4pt'>
  <p style='margin:0in;margin-bottom:.0001pt'>Kind of controller</p>
  </td>
  <td width=201 valign=top style='width:151.0pt;border:none;border-right:solid windowtext .5pt;
  mso-border-left-alt:solid windowtext .5pt;background:white;padding:0in 5.4pt 0in 5.4pt'>
  <p align=center style='margin:0in;margin-bottom:.0001pt;text-align:center'>stack.evaluation.kind</p>
  </td>
 </tr>
 <tr>
  <td width=281 valign=top style='width:210.45pt;border-top:none;border-left:
  solid windowtext .5pt;border-bottom:none;border-right:solid windowtext .5pt;
  background:white;padding:0in 5.4pt 0in 5.4pt'>
  <p style='margin:0in;margin-bottom:.0001pt'>Controller system matrix **</p>
  </td>
  <td width=201 valign=top style='width:151.0pt;border:none;border-right:solid windowtext .5pt;
  mso-border-left-alt:solid windowtext .5pt;background:white;padding:0in 5.4pt 0in 5.4pt'>
  <p align=center style='margin:0in;margin-bottom:.0001pt;text-align:center'>stack.evaluation.K</p>
  </td>
 </tr>
 <tr>
  <td width=281 valign=top style='width:210.45pt;border-top:none;border-left:
  solid windowtext .5pt;border-bottom:none;border-right:solid windowtext .5pt;
  background:white;padding:0in 5.4pt 0in 5.4pt'>
  <p style='margin:0in;margin-bottom:.0001pt'>Plant system matrix **</p>
  </td>
  <td width=201 valign=top style='width:151.0pt;border:none;border-right:solid windowtext .5pt;
  mso-border-left-alt:solid windowtext .5pt;background:white;padding:0in 5.4pt 0in 5.4pt'>
  <p align=center style='margin:0in;margin-bottom:.0001pt;text-align:center'>stack.evaluation.plant</p>
  </td>
 </tr>
 <tr>
  <td width=281 valign=top style='width:210.45pt;border-top:none;border-left:
  solid windowtext .5pt;border-bottom:none;border-right:solid windowtext .5pt;
  background:white;padding:0in 5.4pt 0in 5.4pt'>
  <p style='margin:0in;margin-bottom:.0001pt'>Controller matrix Ak</p>
  </td>
  <td width=201 valign=top style='width:151.0pt;border:none;border-right:solid windowtext .5pt;
  mso-border-left-alt:solid windowtext .5pt;background:white;padding:0in 5.4pt 0in 5.4pt'>
  <p align=center style='margin:0in;margin-bottom:.0001pt;text-align:center'>stack.simulation.Ak</p>
  </td>
 </tr>
 <tr>
  <td width=281 valign=top style='width:210.45pt;border-top:none;border-left:
  solid windowtext .5pt;border-bottom:none;border-right:solid windowtext .5pt;
  background:white;padding:0in 5.4pt 0in 5.4pt'>
  <p style='margin:0in;margin-bottom:.0001pt'>Controller matrix Bk</p>
  </td>
  <td width=201 valign=top style='width:151.0pt;border:none;border-right:solid windowtext .5pt;
  mso-border-left-alt:solid windowtext .5pt;background:white;padding:0in 5.4pt 0in 5.4pt'>
  <p align=center style='margin:0in;margin-bottom:.0001pt;text-align:center'>stack.simulation.Bk</p>
  </td>
 </tr>
 <tr>
  <td width=281 valign=top style='width:210.45pt;border-top:none;border-left:
  solid windowtext .5pt;border-bottom:none;border-right:solid windowtext .5pt;
  background:white;padding:0in 5.4pt 0in 5.4pt'>
  <p style='margin:0in;margin-bottom:.0001pt'>Controller matrix Ck</p>
  </td>
  <td width=201 valign=top style='width:151.0pt;border:none;border-right:solid windowtext .5pt;
  mso-border-left-alt:solid windowtext .5pt;background:white;padding:0in 5.4pt 0in 5.4pt'>
  <p align=center style='margin:0in;margin-bottom:.0001pt;text-align:center'>stack.simulation.Ck</p>
  </td>
 </tr>
 <tr>
  <td width=281 valign=top style='width:210.45pt;border-top:none;border-left:
  solid windowtext .5pt;border-bottom:none;border-right:solid windowtext .5pt;
  background:white;padding:0in 5.4pt 0in 5.4pt'>
  <p style='margin:0in;margin-bottom:.0001pt'>Controller matrix Dk</p>
  </td>
  <td width=201 valign=top style='width:151.0pt;border:none;border-right:solid windowtext .5pt;
  mso-border-left-alt:solid windowtext .5pt;background:white;padding:0in 5.4pt 0in 5.4pt'>
  <p align=center style='margin:0in;margin-bottom:.0001pt;text-align:center'>stack.simulation.Dk</p>
  </td>
 </tr>
 <tr>
  <td width=281 valign=top style='width:210.45pt;border-top:none;border-left:
  solid windowtext .5pt;border-bottom:none;border-right:solid windowtext .5pt;
  background:white;padding:0in 5.4pt 0in 5.4pt'>
  <p style='margin:0in;margin-bottom:.0001pt'>Complementary Sensitivity matrix
  P<span style='font-size:8.0pt;mso-bidi-font-size:12.0pt'>o</span> **</p>
  </td>
  <td width=201 valign=top style='width:151.0pt;border:none;border-right:solid windowtext .5pt;
  mso-border-left-alt:solid windowtext .5pt;background:white;padding:0in 5.4pt 0in 5.4pt'>
  <p align=center style='margin:0in;margin-bottom:.0001pt;text-align:center'>stack.evaluation.grafici.Po</p>
  </td>
 </tr>
 <tr>
  <td width=281 valign=top style='width:210.45pt;border-top:none;border-left:
  solid windowtext .5pt;border-bottom:none;border-right:solid windowtext .5pt;
  background:white;padding:0in 5.4pt 0in 5.4pt'>
  <p style='margin:0in;margin-bottom:.0001pt'>Control Sensitivity matrix P<span
  style='font-size:8.0pt;mso-bidi-font-size:12.0pt'>i</span> **</p>
  </td>
  <td width=201 valign=top style='width:151.0pt;border:none;border-right:solid windowtext .5pt;
  mso-border-left-alt:solid windowtext .5pt;background:white;padding:0in 5.4pt 0in 5.4pt'>
  <p align=center style='margin:0in;margin-bottom:.0001pt;text-align:center'>stack.evaluation.grafici.Pi</p>
  </td>
 </tr>
 <tr>
  <td width=281 valign=top style='width:210.45pt;border:solid windowtext .5pt;
  border-top:none;background:white;padding:0in 5.4pt 0in 5.4pt'>
  <p style='margin:0in;margin-bottom:.0001pt'><![if !supportEmptyParas]>&nbsp;<![endif]><o:p></o:p></p>
  </td>
  <td width=201 valign=top style='width:151.0pt;border-top:none;border-left:
  none;border-bottom:solid windowtext .5pt;border-right:solid windowtext .5pt;
  mso-border-left-alt:solid windowtext .5pt;background:white;padding:0in 5.4pt 0in 5.4pt'>
  <p align=center style='margin:0in;margin-bottom:.0001pt;text-align:center'><![if !supportEmptyParas]>&nbsp;<![endif]><o:p></o:p></p>
  </td>
 </tr>
</table>

</div>

<p style='margin:0in;margin-bottom:.0001pt;text-align:justify'><![if !supportEmptyParas]>&nbsp;<![endif]><o:p></o:p></p>

<p style='margin-top:0in;margin-right:0in;margin-bottom:0in;margin-left:.5in;
margin-bottom:.0001pt;text-align:justify'><![if !supportEmptyParas]>&nbsp;<![endif]><o:p></o:p></p>

<div align=center>

<table border=0 cellspacing=0 cellpadding=0 style='border-collapse:collapse;
 mso-padding-alt:0in 5.4pt 0in 5.4pt'>
 <tr>
  <td width=482 valign=top style='width:361.45pt;padding:0in 5.4pt 0in 5.4pt'>
  <p style='margin:0in;margin-bottom:.0001pt;text-align:justify'><i><span
  style='font-size:10.0pt;mso-bidi-font-size:12.0pt'>(*) The setting (or
  resetting) of the advanced flag allows the user to activate (or deactivate)
  the two commands <a href="eva01.htm#adv_flag"
  title=" DESIGN SPECIFICATIONS help page ">All Sensitivities and Both
  Sensitivities</a> of the evaluation menu. </span></i><i><span
  style='font-size:10.0pt'>Each time the user exits from MvTools, the value of
  this flag is saved and it will be reloaded at the next activation of the
  program.<o:p></o:p></span></i></p>
  <p style='margin:0in;margin-bottom:.0001pt;text-align:justify'><![if !supportEmptyParas]>&nbsp;<![endif]><i><span
  style='font-size:10.0pt;mso-bidi-font-size:12.0pt'><o:p></o:p></span></i></p>
  </td>
 </tr>
 <tr>
  <td width=482 valign=top style='width:361.45pt;padding:0in 5.4pt 0in 5.4pt'>
  <p style='margin:0in;margin-bottom:.0001pt;text-align:justify'><i><span
  style='font-size:10.0pt;mso-bidi-font-size:12.0pt'>(**) These system matrices
  represent a packed form of the corresponding state space matrices that can be
  extracted by using the Matlab command &quot;unpck&quot; (for more details,
  type <b>help unpck</b> at the Matlab prompt).<o:p></o:p></span></i></p>
  </td>
 </tr>
</table>

</div>

<p style='text-align:justify'>When the user closes the program MvTools, the
global structure &quot;stack&quot; is deleted; at the same time, the workspace
and the working directory previous to the calling of MvTools, which have been
before saved, are restored.</p>

<p style='text-align:justify'>Note:<span style='font-size:10.0pt;mso-bidi-font-size:
12.0pt'> <i>the only variable that the user can (and <b>must</b>) directly
modify from the Matlab command line is the advanced flag
stack.general.adv_flag.<a name=controllore></a><o:p></o:p></i></span></p>

<p style='margin:0in;margin-bottom:.0001pt;text-align:justify'>After a
controller has been computed in the last window of a <a href="syn01.htm"
title=" SYNTHESIS MAIN WINDOW ">Synthesis</a> or <a href="opt01.htm"
title=" OPTIMIZATION MAIN WINDOW ">Optimization</a> section, all the variables
needed for the <a href="eva01.htm" title=" EVALUATION SECTION help page ">evaluation</a>
and the <a href="sim01.htm" title=" SIMULATION SECTION help page ">simulation</a>
of the closed loop system, are stored in the two structures <b><i>stack.evaluation</i></b>
and <b><i>stack.simulation</i></b>.</p>

<p style='margin:0in;margin-bottom:.0001pt;text-align:justify'>When the user
saves the controller by means of the command <b>Save Controller as 

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