1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
|
<?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="macglov">
<refnamediv>
<refname>macglov</refname>
<refpurpose>Continuous time dynamical systems Mac Farlane Glover problem</refpurpose>
</refnamediv>
<refsynopsisdiv>
<title>Calling Sequence</title>
<synopsis>[P,r]=macglov(Sl)</synopsis>
</refsynopsisdiv>
<refsection>
<title>Arguments</title>
<variablelist>
<varlistentry>
<term>Sl</term>
<listitem>
<para>a continuous time linear dynamical system</para>
</listitem>
</varlistentry>
<varlistentry>
<term>P</term>
<listitem>
<para>a continuous time linear dynamical system, the "augmented" plant</para>
</listitem>
</varlistentry>
<varlistentry>
<term>r</term>
<listitem>
<para>
1x2 vector, dimension of <literal>P22</literal>
</para>
</listitem>
</varlistentry>
</variablelist>
</refsection>
<refsection>
<title>Description</title>
<para>
<literal>[P,r]=macglov(Sl)</literal> returns the standard plant
<literal>P</literal> for the Glover-McFarlane problem.
</para>
<para>
For this problem <literal>ro_optimal = 1-hankel_norm([N,M]</literal>)
with <literal>[N,M]=lcf(sl)</literal> (Normalized coprime factorization) i.e.
</para>
<para>
<literal>gama_optimal = 1/sqrt(ro_optimal)</literal>
</para>
<para>
<literal>P</literal> is returned in the same
representation (transfer function or state-space) than
<literal>Sl</literal>.
</para>
</refsection>
<refsection>
<title>Examples</title>
MAC-FARLANE PROBLEM for G=1/s^3;
<programlisting role="example"><![CDATA[
G=syslin("c",1/%s^3);
[P,r]=macglov(G);
//K Optimal controller , ro = gamaopt^-2;
[K,ro]=h_inf(P,r,0,1,30);
]]></programlisting>
</refsection>
<refsection>
<title>Authors</title>
<para>F. Delebecque INRIA</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>
|
