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<?xml version="1.0" encoding="UTF-8"?>
<!--
* Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
* Copyright (C) INRIA -
*
* This file must be used under the terms of the CeCILL.
* This source file is licensed as described in the file COPYING, which
* you should have received as part of this distribution. The terms
* are also available at
* http://www.cecill.info/licences/Licence_CeCILL_V2.1-en.txt
*
-->
<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org" xml:lang="en" xml:id="gamitg">
<refnamediv>
<refname>gamitg</refname>
<refpurpose>H-infinity gamma iterations for continuous time systems</refpurpose>
</refnamediv>
<refsynopsisdiv>
<title>Calling Sequence</title>
<synopsis>[gopt]=gamitg(G,r,prec [,options]);</synopsis>
</refsynopsisdiv>
<refsection>
<title>Arguments</title>
<variablelist>
<varlistentry>
<term>G</term>
<listitem>
<para>a continuous time dynamical system (plant realization).</para>
</listitem>
</varlistentry>
<varlistentry>
<term>r</term>
<listitem>
<para>
1x2 row vector (dimension of <literal>G22</literal>)
</para>
</listitem>
</varlistentry>
<varlistentry>
<term>prec</term>
<listitem>
<para>desired relative accuracy on the norm</para>
</listitem>
</varlistentry>
<varlistentry>
<term>option</term>
<listitem>
<para>
string <literal>'t'</literal>
</para>
</listitem>
</varlistentry>
<varlistentry>
<term>gopt</term>
<listitem>
<para>real scalar, optimal H-infinity gain</para>
</listitem>
</varlistentry>
</variablelist>
</refsection>
<refsection>
<title>Description</title>
<para>
<literal>gopt=gamitg(G,r,prec [,options])</literal>
returns the H-infinity optimal gain <literal>gopt</literal>.
</para>
<para>
<literal>G</literal> contains the state-space matrices <literal>[A,B,C,D]</literal> of
the plant with the usual partitions:
</para>
<programlisting role=""><![CDATA[
B = ( B1 , B2 ) , C = ( C1 ) , D = ( D11 D12)
( C2 ) ( D21 D22)
]]></programlisting>
<para>
These partitions are implicitly given in <literal>r</literal>: <literal>r(1)</literal>
and <literal>r(2)</literal> are the dimensions of <literal>D22</literal> (rows x columns)
</para>
<para>
With <literal>option='t'</literal>, <literal>gamitg</literal> traces each bisection step, i.e.,
displays the lower and upper bounds and the current test point.
</para>
</refsection>
<refsection role="see also">
<title>See Also</title>
<simplelist type="inline">
<member>
<link linkend="ccontrg">ccontrg</link>
</member>
<member>
<link linkend="h_inf">h_inf</link>
</member>
</simplelist>
</refsection>
<refsection>
<title>Authors</title>
<para>P. Gahinet</para>
</refsection>
<refsection>
<title>History</title>
<revhistory>
<revision>
<revnumber>5.4.0</revnumber>
<revremark>
<literal>Sl</literal> is now checked for
continuous time linear dynamical system. This modification
has been introduced by this <ulink url="http://gitweb.scilab.org/?p=scilab.git;a=commit;h=3d7083daae3339813ba747c8adcda1f9599bb80d">commit</ulink>
</revremark>
</revision>
</revhistory>
</refsection>
</refentry>
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