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lang=EN-US><span style='mso-spacerun:yes'> </span><o:p></o:p></span></p>
<p class=MsoNormal style='text-indent:21.2pt;mso-char-indent-count:2.02;
mso-char-indent-size:10.45pt'><span style='font-family:宋体;mso-ascii-font-family:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>将模型转换为状态方程模型和零极点增益模型。</span><span
lang=EN-US><o:p></o:p></span></p>
<p class=MsoNormal style='text-indent:21.3pt;mso-char-indent-count:2.02;
mso-char-indent-size:10.5pt'><b><span style='font-family:宋体;mso-ascii-font-family:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>解</span><span
lang=EN-US><span style='mso-spacerun:yes'> </span></span></b><span
style='font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman"'>输入如下程序：</span><span lang=EN-US><o:p></o:p></span></p>
<p class=MsoNormal style='text-indent:42.5pt;mso-char-indent-count:4.05;
mso-char-indent-size:10.45pt'><span lang=EN-US>num=[0<span
style='mso-spacerun:yes'> </span>6<span style='mso-spacerun:yes'>
</span>42<span style='mso-spacerun:yes'> </span>72];<o:p></o:p></span></p>
<p class=MsoNormal style='text-indent:42.5pt;mso-char-indent-count:4.05;
mso-char-indent-size:10.45pt'><span lang=EN-US>den=[1<span
style='mso-spacerun:yes'> </span>6<span style='mso-spacerun:yes'>
</span>11<span style='mso-spacerun:yes'> </span>6];<o:p></o:p></span></p>
<p class=MsoNormal style='text-indent:42.5pt;mso-char-indent-count:4.05;
mso-char-indent-size:10.45pt'><span lang=EN-US>[A, B, C, D]=tf2ss (num, den )<o:p></o:p></span></p>
<p class=MsoNormal style='text-indent:42.5pt;mso-char-indent-count:4.05;
mso-char-indent-size:10.45pt'><span lang=EN-US>[z, p, k] = tf2zp ( num, den)<o:p></o:p></span></p>
<p class=MsoNormal style='text-indent:21.2pt;mso-char-indent-count:2.02;
mso-char-indent-size:10.45pt'><span style='font-family:宋体;mso-ascii-font-family:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>程序执行结果为：</span><span
lang=EN-US><o:p></o:p></span></p>
<p class=MsoNormal style='text-indent:49.55pt;mso-char-indent-count:4.72;
mso-char-indent-size:10.45pt'><span lang=EN-US style='font-family:宋体'>A =<o:p></o:p></span></p>
<p class=MsoNormal style='text-indent:49.55pt;mso-char-indent-count:4.72;
mso-char-indent-size:10.45pt'><span lang=EN-US style='font-family:宋体'><span
style='mso-spacerun:yes'> </span>-6<span
style='mso-spacerun:yes'> </span>-11<span
style='mso-spacerun:yes'> </span>-6<o:p></o:p></span></p>
<p class=MsoNormal style='text-indent:49.55pt;mso-char-indent-count:4.72;
mso-char-indent-size:10.45pt'><span lang=EN-US style='font-family:宋体'><span
style='mso-spacerun:yes'> </span>1<span
style='mso-spacerun:yes'> </span>0<span
style='mso-spacerun:yes'> </span>0<o:p></o:p></span></p>
<p class=MsoNormal style='text-indent:49.55pt;mso-char-indent-count:4.72;
mso-char-indent-size:10.45pt'><span lang=EN-US style='font-family:宋体'><span
style='mso-spacerun:yes'> </span>0<span
style='mso-spacerun:yes'> </span>1<span
style='mso-spacerun:yes'> </span>0<o:p></o:p></span></p>
<p class=MsoNormal style='text-indent:49.55pt;mso-char-indent-count:4.72;
mso-char-indent-size:10.45pt'><span lang=EN-US style='font-family:宋体'>B =<o:p></o:p></span></p>
<p class=MsoNormal style='text-indent:49.55pt;mso-char-indent-count:4.72;
mso-char-indent-size:10.45pt'><span lang=EN-US style='font-family:宋体'><span
style='mso-spacerun:yes'> </span>1<o:p></o:p></span></p>
<p class=MsoNormal style='text-indent:49.55pt;mso-char-indent-count:4.72;
mso-char-indent-size:10.45pt'><span lang=EN-US style='font-family:宋体'><span
style='mso-spacerun:yes'> </span><span
style='mso-spacerun:yes'> </span>0<o:p></o:p></span></p>
<p class=MsoNormal style='text-indent:49.55pt;mso-char-indent-count:4.72;
mso-char-indent-size:10.45pt'><span lang=EN-US style='font-family:宋体'><span
style='mso-spacerun:yes'> </span>0<o:p></o:p></span></p>
<p class=MsoNormal style='text-indent:49.55pt;mso-char-indent-count:4.72;
mso-char-indent-size:10.45pt'><span lang=EN-US style='font-family:宋体'>C =<o:p></o:p></span></p>
<p class=MsoNormal style='text-indent:49.55pt;mso-char-indent-count:4.72;
mso-char-indent-size:10.45pt'><span lang=EN-US style='font-family:宋体'><span
style='mso-spacerun:yes'> </span>6<span
style='mso-spacerun:yes'> </span>42<span
style='mso-spacerun:yes'> </span>72<o:p></o:p></span></p>
<p class=MsoToc1><span lang=EN-US>D =<o:p></o:p></span></p>
<p class=MsoNormal style='text-indent:49.55pt;mso-char-indent-count:4.72;
mso-char-indent-size:10.45pt'><span lang=EN-US style='font-family:宋体'><span
style='mso-spacerun:yes'> </span>0<o:p></o:p></span></p>
<p class=MsoNormal style='text-indent:49.55pt;mso-char-indent-count:4.72;
mso-char-indent-size:10.45pt'><span lang=EN-US style='font-family:宋体'>z =<o:p></o:p></span></p>
<p class=MsoNormal style='text-indent:49.55pt;mso-char-indent-count:4.72;
mso-char-indent-size:10.45pt'><span lang=EN-US style='font-family:宋体'><span
style='mso-spacerun:yes'> </span>-4<o:p></o:p></span></p>
<p class=MsoNormal style='text-indent:49.55pt;mso-char-indent-count:4.72;
mso-char-indent-size:10.45pt'><span lang=EN-US style='font-family:宋体'><span
style='mso-spacerun:yes'> </span>-3<o:p></o:p></span></p>
<p class=MsoNormal style='text-indent:49.55pt;mso-char-indent-count:4.72;
mso-char-indent-size:10.45pt'><span lang=EN-US style='font-family:宋体'>p =<o:p></o:p></span></p>
<p class=MsoNormal style='text-indent:49.55pt;mso-char-indent-count:4.72;
mso-char-indent-size:10.45pt'><span lang=EN-US style='font-family:宋体'><span
style='mso-spacerun:yes'> </span>-3.0000<o:p></o:p></span></p>
<p class=MsoNormal style='text-indent:49.55pt;mso-char-indent-count:4.72;
mso-char-indent-size:10.45pt'><span lang=EN-US style='font-family:宋体'><span
style='mso-spacerun:yes'> </span>-2.0000<o:p></o:p></span></p>
<p class=MsoNormal style='text-indent:49.55pt;mso-char-indent-count:4.72;
mso-char-indent-size:10.45pt'><span lang=EN-US style='font-family:宋体'><span
style='mso-spacerun:yes'> </span>-1.0000<o:p></o:p></span></p>
<p class=MsoNormal style='text-indent:49.55pt;mso-char-indent-count:4.72;
mso-char-indent-size:10.45pt'><span lang=EN-US style='font-family:宋体'>k =<o:p></o:p></span></p>
<p class=MsoNormal style='text-indent:49.55pt;mso-char-indent-count:4.72;
mso-char-indent-size:10.45pt'><span lang=EN-US style='font-family:宋体'><span
style='mso-spacerun:yes'> </span>6<o:p></o:p></span></p>
<p class=MsoNormal style='text-indent:21.2pt;mso-char-indent-count:2.02;
mso-char-indent-size:10.45pt'><span style='font-family:宋体;mso-ascii-font-family:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>所以得到的状态方程模型为：</span><span
lang=EN-US><o:p></o:p></span></p>
<p class=MsoNormal style='text-indent:24.25pt;mso-char-indent-count:2.02;
mso-char-indent-size:12pt'><span lang=EN-US style='font-size:12.0pt'><span
style='mso-spacerun:yes'> </span><sub><!--[if gte vml 1]><v:shape
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<p class=MsoNormal style='text-indent:21.2pt;mso-char-indent-count:2.02;
mso-char-indent-size:10.45pt'><span style='font-family:宋体;mso-ascii-font-family:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>零极点增益模型为：</span><span
lang=EN-US><o:p></o:p></span></p>
<p class=MsoNormal style='margin-top:7.8pt;margin-right:0cm;margin-bottom:7.8pt;
margin-left:0cm;mso-para-margin-top:.5gd;mso-para-margin-right:0cm;mso-para-margin-bottom:
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mso-char-indent-size:12pt'><span lang=EN-US style='font-size:12.0pt'><span
style='mso-spacerun:yes'> </span></span><span
lang=EN-US>G(s)=</span><sub><span lang=EN-US style='font-size:12.0pt'><!--[if gte vml 1]><v:shape
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lang=EN-US style='font-size:12.0pt'><o:p></o:p></span></p>
<p class=MsoNormal style='text-indent:21.2pt;mso-char-indent-count:2.01;
mso-char-indent-size:10.5pt'><b style='mso-bidi-font-weight:normal'><span
lang=EN-US><o:p> </o:p></span></b></p>
<p class=MsoNormal style='text-indent:21.2pt;mso-char-indent-count:2.01;
mso-char-indent-size:10.5pt'><b style='mso-bidi-font-weight:normal'><span
style='font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman"'>例</span><span lang=EN-US>2<span
style='mso-spacerun:yes'> </span></span></b><span style='font-family:
宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman";
mso-bidi-font-weight:bold'>已知系统方框图如图</span><span lang=EN-US style='mso-bidi-font-weight:
bold'>1</span><span style='font-family:宋体;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman";mso-bidi-font-weight:bold'>所示，求系统的状态方程、传递函数。</span><span
lang=EN-US style='mso-bidi-font-weight:bold'><o:p></o:p></span></p>
<p class=MsoNormal style='text-indent:21.1pt;mso-char-indent-count:2.01;
mso-char-indent-size:10.45pt'><span lang=EN-US style='mso-bidi-font-weight:
bold'><o:p> </o:p></span></p>
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<p class=MsoNormal align=center style='text-align:center'><i><span
lang=EN-US style='font-size:9.0pt;mso-bidi-font-size:12.0pt'>G</span></i><sub><span
lang=EN-US style='font-size:9.0pt;mso-bidi-font-size:12.0pt'>4<o:p></o:p></span></sub></p>
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<![if !mso]>
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<p class=MsoNormal align=center style='text-align:center'><i><span
lang=EN-US style='font-size:9.0pt;mso-bidi-font-size:12.0pt'>G</span></i><sub><span
lang=EN-US style='font-size:9.0pt;mso-bidi-font-size:12.0pt'>1<o:p></o:p></span></sub></p>
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<p class=MsoNormal align=center style='text-align:center'><i><span
lang=EN-US style='font-size:9.0pt;mso-bidi-font-size:12.0pt'>G</span></i><sub><span
lang=EN-US style='font-size:9.0pt;mso-bidi-font-size:12.0pt'>2<o:p></o:p></span></sub></p>
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