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
95
96
97
98
|
<?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="dscr">
<refnamediv>
<refname>dscr</refname>
<refpurpose>discretization of linear system</refpurpose>
</refnamediv>
<refsynopsisdiv>
<title>Calling Sequence</title>
<synopsis>[sld [,r]]=dscr(sl,dt [,m])</synopsis>
</refsynopsisdiv>
<refsection>
<title>Arguments</title>
<variablelist>
<varlistentry>
<term>sl</term>
<listitem>
<para>
<literal>syslin</literal> list containing <literal>[A,B,C,D]</literal>.
</para>
</listitem>
</varlistentry>
<varlistentry>
<term>dt</term>
<listitem>
<para>real number, sampling period</para>
</listitem>
</varlistentry>
<varlistentry>
<term>m</term>
<listitem>
<para>covariance of the input noise (continuous time)(default value=0)</para>
</listitem>
</varlistentry>
<varlistentry>
<term>r</term>
<listitem>
<para>
covariance of the output noise (discrete time) given if <literal>m</literal> is given as input
</para>
</listitem>
</varlistentry>
<varlistentry>
<term>sld</term>
<listitem>
<para>
sampled (discrete-time) linear system, <literal>syslin</literal> list
</para>
</listitem>
</varlistentry>
</variablelist>
</refsection>
<refsection>
<title>Description</title>
<para>
Discretization of linear system. <literal>sl</literal> is a continuous-time system:
</para>
<para>
<literal>dx/dt=A*x+B*u (+ noise)</literal>.
</para>
<para>
<literal>sld</literal> is the discrete-time system obtained by
sampling <literal>sl</literal> with the sampling period <literal>dt</literal>.
</para>
</refsection>
<refsection>
<title>Examples</title>
<programlisting role="example"><![CDATA[
s=poly(0,'s');
Sys=syslin('c',[1,1/(s+1);2*s/(s^2+2),1/s])
ss2tf(dscr(tf2ss(Sys),0.1))
]]></programlisting>
</refsection>
<refsection role="see also">
<title>See Also</title>
<simplelist type="inline">
<member>
<link linkend="syslin">syslin</link>
</member>
<member>
<link linkend="flts">flts</link>
</member>
<member>
<link linkend="dsimul">dsimul</link>
</member>
</simplelist>
</refsection>
</refentry>
|
