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[scilab.git] / scilab / modules / cacsd / help / ja_JP / fstabst.xml
1 <?xml version="1.0" encoding="UTF-8"?>
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16 <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="ja" xml:id="fstabst">
17     <refnamediv>
18         <refname>fstabst</refname>
19         <refpurpose>線形動的システムのユーラ(Youla)・パラメトリゼーション</refpurpose>
20     </refnamediv>
21     <refsynopsisdiv>
22         <title>呼出し手順</title>
23         <synopsis>J = fstabst(P,r)</synopsis>
24     </refsynopsisdiv>
25     <refsection>
26         <title>引数</title>
27         <variablelist>
28             <varlistentry>
29                 <term>P</term>
30                 <listitem>
31                     <para>
32                         連続時間線形動的システム
33                     </para>
34                 </listitem>
35             </varlistentry>
36             <varlistentry>
37                 <term>r</term>
38                 <listitem>
39                     <para>
40                         1x2 行ベクトル, <literal>P22</literal>の次元
41                     </para>
42                 </listitem>
43             </varlistentry>
44             <varlistentry>
45                 <term>J</term>
46                 <listitem>
47                     <para>
48                         連続時間線形動的システム
49                         (<literal>P</literal>と同じ表現)
50                     </para>
51                 </listitem>
52             </varlistentry>
53         </variablelist>
54     </refsection>
55     <refsection>
56         <title>説明</title>
57         <para>
58             安定化フィードバックのパラメトリゼーション.
59         </para>
60         <para>
61             <literal>P</literal> は以下のように分割されます:
62         </para>
63         <programlisting role=""><![CDATA[ 
64 P=[ P11 P12;
65     P21 P22]  
66  ]]></programlisting>
67         <para>
68             (状態空間形式または伝達関数形式: 計算時に状態空間形式の
69             自動変換が行われます)
70         </para>
71         <para>
72             <literal>r</literal> = <literal>P22</literal> サブシステムの大きさ,  
73             <literal>P</literal>の(2,2)ブロック
74         </para>
75         <programlisting role=""><![CDATA[ 
76 J =[J11 J12;
77     J21 J22]
78  ]]></programlisting>
79         <para>
80             <literal>K</literal> は,
81             安定な<literal>Q</literal>により
82             <literal>K=lft(J,r,Q)</literal>である時に限り,
83             <literal>P</literal>(すなわち<literal>P22</literal>)の
84             安定化コントローラです.
85         </para>
86         <para>
87             <literal>J</literal>の中心部である , <literal>J11</literal> は
88             <literal>P</literal>のlqgレギュレータです.
89         </para>
90         <para>
91             この <literal>J</literal> は,
92             <literal>P</literal> および <literal>J</literal> の
93             2ポート <literal>lft</literal> として以下のように <literal>T</literal>
94             を定義するものです: <literal>[T,rt]=lft(P,r,J,r)</literal>
95             この時,  <literal>T12</literal> はインナ(inner),
96             <literal>T21</literal>はコ・インナ(co-inner)となります.
97         </para>
98     </refsection>
99     <refsection>
100         <title>例</title>
101         <programlisting role="example"><![CDATA[ 
102 ny=2;nu=3;nx=4;
103 P22=ssrand(ny,nu,nx);
104 bigQ=rand(nx+nu,nx+nu);bigQ=bigQ*bigQ';
105 bigR=rand(nx+ny,nx+ny);bigR=bigR*bigR';
106 [P,r]=lqg2stan(P22,bigQ,bigR);
107 J=fstabst(P,r);
108 Q=ssrand(nu,ny,1);Q('A')=-1;  //安定なQ
109 K=lft(J,r,Q);
110 A=h_cl(P,r,K); spec(A)
111  ]]></programlisting>
112     </refsection>
113     <refsection role="see also">
114         <title>参照</title>
115         <simplelist type="inline">
116             <member>
117                 <link linkend="obscont">obscont</link>
118             </member>
119             <member>
120                 <link linkend="lft">lft</link>
121             </member>
122             <member>
123                 <link linkend="lqg">lqg</link>
124             </member>
125             <member>
126                 <link linkend="lqg2stan">lqg2stan</link>
127             </member>
128         </simplelist>
129     </refsection>
130     <refsection>
131         <title>履歴</title>
132         <revhistory>
133             <revision>
134                 <revnumber>5.4.0</revnumber>
135                 <revremark>
136                     <literal>Sl</literal> は連続時間線形動的システムについて
137                     確認されます.
138                     この修正はこの
139                     <ulink url="http://gitweb.scilab.org/?p=scilab.git;a=commit;h=3d7083daae3339813ba747c8adcda1f9599bb80d">コミット</ulink>により導入されました.
140                 </revremark>
141             </revision>
142         </revhistory>
143     </refsection>
144 </refentry>