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  • Committer: Bazaar Package Importer
  • Author(s): Torsten Werner
  • Date: 2005-01-09 22:58:21 UTC
  • mfrom: (1.1.1 upstream)
  • Revision ID: james.westby@ubuntu.com-20050109225821-473xr8vhgugxxx5j
Tags: 3.0-12
http://bugs.debian.org/255869
changed configure.in to build scilab's own malloc.o, closes: #255869

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man/fr/graphics/evans.xml
 
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<?xml version="1.0" encoding="UTF-8"?>
 
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<!DOCTYPE MAN SYSTEM "../../manrev.dtd">
 
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<MAN>
 
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  <LANGUAGE>eng</LANGUAGE>
 
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  <TITLE>evans</TITLE>
 
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  <TYPE>Scilab Function</TYPE>
 
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  <DATE>April 1993</DATE>
 
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  <SHORT_DESCRIPTION name="evans">Evans root locus</SHORT_DESCRIPTION>
 
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  <CALLING_SEQUENCE>
 
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    <CALLING_SEQUENCE_ITEM>evans(H [,kmax])</CALLING_SEQUENCE_ITEM>
 
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  </CALLING_SEQUENCE>
 
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  <PARAM>
 
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    <PARAM_INDENT>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>H</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: list (linear system <VERB>syslin</VERB>)</SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>kmax</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: real (maximum gain desired for the plot )</SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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    </PARAM_INDENT>
 
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  </PARAM>
 
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  <DESCRIPTION>
 
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    <P>Gives the Evans root locus for a linear system in state-space or
 
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    transfer form H(s) (<VERB>syslin</VERB> list). This is the locus of the
 
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    roots of <VERB>1+k*H(s)=1+k*N(s)/D(s)</VERB>, in the complex plane. For a
 
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    selected sample of gains <VERB>k &lt;= kmax</VERB>, the imaginary part of
 
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    the roots of <VERB>D(s)+k*N(s)</VERB> is plotted vs the real part.</P>
 
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    <P>To obtain the gain at a given point of the locus you can simply execute
 
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    the following instruction :
 
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    <VERB>k=-1/real(horner(h,[1,%i]*locate(1)))</VERB> and click the desired
 
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    point on the root locus. If the coordinates of the selected point are in
 
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    the real 2 x 1 vector <VERB>P=locate(1)</VERB> this <VERB>k</VERB> solves
 
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    the equation <VERB> k*N(w) + D(w) =0</VERB> with
 
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    <VERB>w=P(1)+%i*P(2)=[1,%i]*P</VERB>.</P>
 
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  </DESCRIPTION>
 
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  <EXAMPLE><![CDATA[
 
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H=syslin('c',352*poly(-5,'s')/poly([0,0,2000,200,25,1],'s','c'));
 
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evans(H,100)
 
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P=3.0548543 - 8.8491842*%i;    //P=selected point
 
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k=-1/real(horner(H,P));
 
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Ns=H('num');Ds=H('den');
 
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roots(Ds+k*Ns)     //contains P as particular root
 
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// Another one
 
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clf();s=poly(0,'s');n=1+s;
 
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d=real(poly([-1 -2 -%i %i],'s'));
 
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evans(n,d,100);
 
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//
 
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clf();n=real(poly([0.1-%i 0.1+%i,-10],'s'));
 
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evans(n,d,80);
 
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  ]]></EXAMPLE>
 
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  <SEE_ALSO>
 
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    <SEE_ALSO_ITEM>
 
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      <LINK>kpure</LINK>
 
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    </SEE_ALSO_ITEM>
 
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    <SEE_ALSO_ITEM>
 
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      <LINK>krac2</LINK>
 
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    </SEE_ALSO_ITEM>
 
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    <SEE_ALSO_ITEM>
 
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      <LINK>locate</LINK>
 
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    </SEE_ALSO_ITEM>
 
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  </SEE_ALSO>
 
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</MAN>
 
 
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