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
|
<?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="cls2dls">
<refnamediv>
<refname>cls2dls</refname>
<refpurpose>bilinear transform</refpurpose>
</refnamediv>
<refsynopsisdiv>
<title>Calling Sequence</title>
<synopsis>[sl1]=cls2dls(sl,T [,fp])</synopsis>
</refsynopsisdiv>
<refsection>
<title>Arguments</title>
<variablelist>
<varlistentry>
<term>sl,sl1</term>
<listitem>
<para>
linear systems (<literal>syslin</literal> lists)
</para>
</listitem>
</varlistentry>
<varlistentry>
<term>T</term>
<listitem>
<para>real number, the sampling period</para>
</listitem>
</varlistentry>
<varlistentry>
<term>fp</term>
<listitem>
<para>pre-warping frequency in hertz</para>
</listitem>
</varlistentry>
</variablelist>
</refsection>
<refsection>
<title>Description</title>
<para>
given <literal>sl=[A,B,C,D]</literal> (<literal>syslin</literal> list),a continuous time system
<literal>cls2dls</literal> returns the sampled system obtained by the
bilinear transform <literal>s=(2/T)*(z-1)/(z+1)</literal>.
</para>
</refsection>
<refsection>
<title>Examples</title>
<programlisting role="example"><![CDATA[
s=poly(0,'s');z=poly(0,'z');
sl=syslin('c',(s+1)/(s^2-5*s+2)); //Continuous-time system in transfer form
slss=tf2ss(sl); //Now in state-space form
sl1=cls2dls(slss,0.2); //sl1= output of cls2dls
sl1t=ss2tf(sl1) // Converts in transfer form
sl2=horner(sl,(2/0.2)*(z-1)/(z+1)) //Compare sl2 and sl1
]]></programlisting>
</refsection>
<refsection role="see also">
<title>See Also</title>
<simplelist type="inline">
<member>
<link linkend="horner">horner</link>
</member>
<member>
<link linkend="syslin">syslin</link>
</member>
</simplelist>
</refsection>
</refentry>
|
