<?xml version="1.0" encoding="UTF-8"?>
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<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="ppol">
    <refnamediv>
        <refname>ppol</refname>
        <refpurpose>極配置</refpurpose>
    </refnamediv>
    <refsynopsisdiv>
        <title>呼び出し手順</title>
        <synopsis>[K]=ppol(A,B,poles)</synopsis>
    </refsynopsisdiv>
    <refsection>
        <title>引数</title>
        <variablelist>
            <varlistentry>
                <term>A,B</term>
                <listitem>
                    <para>
                        次元 <literal>nxn</literal> および <literal>nxm</literal>の実数行列.
                    </para>
                </listitem>
            </varlistentry>
            <varlistentry>
                <term>poles</term>
                <listitem>
                    <para>
                        <literal>n</literal>次の実数または虚数ベクトル.
                    </para>
                </listitem>
            </varlistentry>
            <varlistentry>
                <term>K</term>
                <listitem>
                    <para>実数行列 (負方向のフィードバックゲイン)</para>
                </listitem>
            </varlistentry>
        </variablelist>
    </refsection>
    <refsection>
        <title>説明</title>
        <para>
            <literal>K=ppol(A,B,poles)</literal> は,
            <literal>A-B*K</literal>の固有値が<literal>poles</literal>となるような
            mxn 次のゲイン行列 <literal>K</literal> を返します.
            <literal>(A,B)</literal> は可制御である必要があります.
            <literal>poles</literal>が複素数の場合,共役の組で指定する必要があります.
        </para>
        <para>
            <literal>(A,C)</literal>の出力注入ゲイン <literal>F</literal> は
            以下のように得られます:
        </para>
        <para>
            <literal>Ft=ppol(A',C',poles);  F=Ft'</literal>
        </para>
        <para>
            本アルゴリズムは P.H. Petkovによるものです.
        </para>
    </refsection>
    <refsection>
        <title>例</title>
        <programlisting role="example"><![CDATA[
A=rand(3,3);B=rand(3,2);
F=ppol(A,B,[-1,-2,-3]);
spec(A-B*F)
 ]]></programlisting>
    </refsection>
    <refsection role="see also">
        <title>参照</title>
        <simplelist type="inline">
            <member>
                <link linkend="canon">canon</link>
            </member>
            <member>
                <link linkend="stabil">stabil</link>
            </member>
        </simplelist>
    </refsection>
</refentry>
