eva01.htm
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<div class=Section1>
<p align=center style='text-align:center'><span lang=EN-US><img width=371
height=51 id="_x0000_i1025" src="Immagini\logoeva.jpg"></span></p>
<p align=center style='text-align:center'><span lang=EN-US><a
href="HelpDeskmvt.htm" title=" MVTOOLS HELP DESK "><b><i>MvTools Help Desk</i></b></a></span></p>
<p align=center style='text-align:center'><span lang=EN-US><img border=0
width=536 height=5 id="_x0000_i1026" src="Immagini\riga.gif"></span></p>
<p style='margin-bottom:0cm;margin-bottom:.0001pt;text-align:justify'><span
lang=EN-US>The Evaluation section allows the user to evaluate in every detail
the behavior of the closed loop system built with the controller that has been
previously computed at the end of a synthesis or optimization section. Let us
consider the following closed loop scheme,</span></p>
<p align=center style='margin:0cm;margin-bottom:.0001pt;text-align:center'><span
lang=EN-US><img border=0 width=317 height=174 id="_x0000_i1027"
src="Immagini\eva00.gif"></span></p>
<p style='margin-top:0cm;text-align:justify'><span lang=EN-US>where G</span><span
lang=EN-US style='font-size:10.0pt'>(s)</span><span lang=EN-US> is the transfer
matrix of the current model that has to be controlled, and K</span><span
lang=EN-US style='font-size:10.0pt'>(s)</span><span lang=EN-US> is the transfer
matrix of the controller, we have that:</span><span lang=EN-US
style='font-size:10.0pt'><o:p></o:p></span></p>
<div align=center>
<table border=1 cellspacing=1 cellpadding=0 width=523 style='width:313.55pt;
mso-cellspacing:.6pt;mso-padding-alt:3.0pt 3.0pt 3.0pt 3.0pt'>
<tr style='height:26.4pt'>
<td width="33%" style='width:33.04%;background:white;padding:3.0pt 3.0pt 3.0pt 3.0pt;
height:26.4pt'>
<p align=center style='text-align:center'><span lang=EN-US>Open Loop</span></p>
</td>
<td width="33%" style='width:33.14%;background:white;padding:3.0pt 3.0pt 3.0pt 3.0pt;
height:26.4pt'>
<p align=center style='text-align:center'><span lang=EN-US style='color:red'>F</span><span
lang=EN-US style='font-size:7.5pt;color:red'>o</span><span lang=EN-US
style='color:red'> = G</span><span lang=EN-US style='font-size:10.0pt;
color:red'> </span><span lang=EN-US style='color:red'>K<o:p></o:p></span></p>
</td>
<td width="33%" style='width:33.06%;background:white;padding:3.0pt 3.0pt 3.0pt 3.0pt;
height:26.4pt'>
<p align=center style='text-align:center'><span lang=EN-US style='color:red'>F</span><span
lang=EN-US style='font-size:7.5pt;color:red'>i</span><span lang=EN-US
style='color:red'> = K G<o:p></o:p></span></p>
</td>
</tr>
<tr style='height:36.0pt'>
<td width="33%" style='width:33.04%;background:white;padding:3.0pt 3.0pt 3.0pt 3.0pt;
height:36.0pt'>
<p align=center style='text-align:center'><span lang=EN-US>Sensitivity</span></p>
</td>
<td width="33%" style='width:33.14%;background:white;padding:3.0pt 3.0pt 3.0pt 3.0pt;
height:36.0pt'>
<p align=center style='text-align:center'><span lang=EN-US style='color:red'>S</span><span
lang=EN-US style='font-size:7.5pt;color:red'>o</span><span lang=EN-US
style='color:red'> = ( I + G</span><span lang=EN-US style='font-size:10.0pt;
color:red'> </span><span lang=EN-US style='color:red'>K</span><span
lang=EN-US style='font-size:10.0pt;color:red'> </span><span lang=EN-US
style='color:red'>)<sup>-1</sup></span></p>
</td>
<td width="33%" style='width:33.06%;background:white;padding:3.0pt 3.0pt 3.0pt 3.0pt;
height:36.0pt'>
<p align=center style='text-align:center'><span lang=EN-US style='color:red'>S</span><span
lang=EN-US style='font-size:7.5pt;color:red'>i</span><span lang=EN-US
style='color:red'> = ( I + K G</span><span lang=EN-US style='font-size:10.0pt;
color:red'> </span><span lang=EN-US style='color:red'>)<sup>-1</sup></span></p>
</td>
</tr>
<tr style='height:36.0pt'>
<td width="33%" style='width:33.04%;background:white;padding:3.0pt 3.0pt 3.0pt 3.0pt;
height:36.0pt'>
<p align=center style='text-align:center'><span lang=EN-US>Control Sensitivity</span></p>
</td>
<td width="33%" style='width:33.14%;background:white;padding:3.0pt 3.0pt 3.0pt 3.0pt;
height:36.0pt'>
<p align=center style='text-align:center'><span lang=EN-US style='color:red'>M</span><span
lang=EN-US style='font-size:7.5pt;color:red'>o</span><span lang=EN-US
style='color:red'> = K</span><span lang=EN-US style='font-size:10.0pt;
color:red'> </span><span lang=EN-US style='color:red'>S</span><span
lang=EN-US style='font-size:7.5pt;color:red'>o</span></p>
</td>
<td width="33%" style='width:33.06%;background:white;padding:3.0pt 3.0pt 3.0pt 3.0pt;
height:36.0pt'>
<p align=center style='text-align:center'><span lang=EN-US style='color:blue'>P</span><span
lang=EN-US style='font-size:7.5pt;color:blue'>i</span><span lang=EN-US
style='color:red'> = M</span><span lang=EN-US style='font-size:7.5pt;
color:red'>i</span><span lang=EN-US style='color:red'> = G</span><span
lang=EN-US style='font-size:10.0pt;color:red'> </span><span lang=EN-US
style='color:red'>S</span><span lang=EN-US style='font-size:7.5pt;color:red'>i</span></p>
</td>
</tr>
<tr style='height:36.0pt'>
<td width="33%" style='width:33.04%;background:white;padding:3.0pt 3.0pt 3.0pt 3.0pt;
height:36.0pt'>
<p align=center style='text-align:center'><span lang=EN-US>Complementary
Sensitivity</span></p>
</td>
<td width="33%" style='width:33.14%;background:white;padding:3.0pt 3.0pt 3.0pt 3.0pt;
height:36.0pt'>
<p align=center style='text-align:center'><span lang=EN-US style='color:blue'>P</span><span
lang=EN-US style='font-size:7.5pt;color:blue'>o</span><span lang=EN-US
style='color:red'> = T</span><span lang=EN-US style='font-size:7.5pt;
color:red'>o</span><span lang=EN-US style='color:red'> = S</span><span
lang=EN-US style='font-size:7.5pt;color:red'>o </span><span lang=EN-US
style='color:red'>G</span><span lang=EN-US style='font-size:10.0pt;
color:red'> </span><span lang=EN-US style='color:red'>K</span><span
lang=EN-US style='font-size:10.0pt;color:red'> </span></p>
</td>
<td width="33%" style='width:33.06%;background:white;padding:3.0pt 3.0pt 3.0pt 3.0pt;
height:36.0pt'>
<p align=center style='text-align:center'><span lang=EN-US style='color:red'>T</span><span
lang=EN-US style='font-size:7.5pt;color:red'>i</span><span lang=EN-US
style='color:red'> = </span><span lang=EN-US style='font-size:10.0pt;
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