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<h1 class="chapter"> 43. bode </h1>

<table class="menu" border="0" cellspacing="0">
<tr><td align="left" valign="top"><a href="#SEC175">43.1 Fun&ccedil;&otilde;es e Vari&aacute;veis Definidas para bode</a></td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
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<h2 class="section"> 43.1 Fun&ccedil;&otilde;es e Vari&aacute;veis Definidas para bode </h2>


<dl>
<dt><u>Fun&ccedil;&atilde;o:</u> <b>bode_gain</b><i> (<var>H</var>, <var>range</var>, ...<var>plot_opts</var>...)</i>
<a name="IDX1403"></a>
</dt>
<dd><p>Fun&ccedil;&atilde;o para desenhar gr&aacute;ficos de ganho para Bode.
</p>
<p>Exemplos (1 a 7 provenientes de 
</p><pre class="example">http://www.swarthmore.edu/NatSci/echeeve1/Ref/Bode/BodeHow.html,
</pre><p>8 proveniente de Ron Crummett):
</p><pre class="example">(%i1) load(&quot;bode&quot;)$

(%i2) H1 (s) := 100 * (1 + s) / ((s + 10) * (s + 100))$

(%i3) bode_gain (H1 (s), [w, 1/1000, 1000])$

(%i4) H2 (s) := 1 / (1 + s/omega0)$

(%i5) bode_gain (H2 (s), [w, 1/1000, 1000]), omega0 = 10$

(%i6) H3 (s) := 1 / (1 + s/omega0)^2$

(%i7) bode_gain (H3 (s), [w, 1/1000, 1000]), omega0 = 10$

(%i8) H4 (s) := 1 + s/omega0$

(%i9) bode_gain (H4 (s), [w, 1/1000, 1000]), omega0 = 10$

(%i10) H5 (s) := 1/s$

(%i11) bode_gain (H5 (s), [w, 1/1000, 1000])$

(%i12) H6 (s) := 1/((s/omega0)^2 + 2 * zeta * (s/omega0) + 1)$

(%i13) bode_gain (H6 (s), [w, 1/1000, 1000]), 
                  omega0 = 10, zeta = 1/10$

(%i14) H7 (s) := (s/omega0)^2 + 2 * zeta * (s/omega0) + 1$

(%i15) bode_gain (H7 (s), [w, 1/1000, 1000]),
                  omega0 = 10, zeta = 1/10$

(%i16) H8 (s) := 0.5 / (0.0001 * s^3 + 0.002 * s^2 + 0.01 * s)$

(%i17) bode_gain (H8 (s), [w, 1/1000, 1000])$
</pre>
<p>Para usar essa fun&ccedil;&atilde;o escreva primeiramente <code>load(&quot;bode&quot;)</code>. Veja tamb&eacute;m <code>bode_phase</code>
</p></dd></dl>


<dl>
<dt><u>Fun&ccedil;&atilde;o:</u> <b>bode_phase</b><i> (<var>H</var>, <var>range</var>, ...<var>plot_opts</var>...)</i>
<a name="IDX1404"></a>
</dt>
<dd><p>Fun&ccedil;&atilde;o para desenhar gr&aacute;ficos de fase para Bode
</p>
<p>Exemplos (1 a 7 provenientes de
</p><pre class="example">http://www.swarthmore.edu/NatSci/echeeve1/Ref/Bode/BodeHow.html,
</pre><p>8 proveniente de Ron Crummett):
</p><pre class="example">(%i1) load(&quot;bode&quot;)$

(%i2) H1 (s) := 100 * (1 + s) / ((s + 10) * (s + 100))$

(%i3) bode_phase (H1 (s), [w, 1/1000, 1000])$

(%i4) H2 (s) := 1 / (1 + s/omega0)$

(%i5) bode_phase (H2 (s), [w, 1/1000, 1000]), omega0 = 10$

(%i6) H3 (s) := 1 / (1 + s/omega0)^2$

(%i7) bode_phase (H3 (s), [w, 1/1000, 1000]), omega0 = 10$

(%i8) H4 (s) := 1 + s/omega0$

(%i9) bode_phase (H4 (s), [w, 1/1000, 1000]), omega0 = 10$

(%i10) H5 (s) := 1/s$

(%i11) bode_phase (H5 (s), [w, 1/1000, 1000])$

(%i12) H6 (s) := 1/((s/omega0)^2 + 2 * zeta * (s/omega0) + 1)$

(%i13) bode_phase (H6 (s), [w, 1/1000, 1000]), 
                   omega0 = 10, zeta = 1/10$

(%i14) H7 (s) := (s/omega0)^2 + 2 * zeta * (s/omega0) + 1$

(%i15) bode_phase (H7 (s), [w, 1/1000, 1000]), 
                   omega0 = 10, zeta = 1/10$

(%i16) H8 (s) := 0.5 / (0.0001 * s^3 + 0.002 * s^2 + 0.01 * s)$

(%i17) bode_phase (H8 (s), [w, 1/1000, 1000])$

(%i18) block ([bode_phase_unwrap : false],
              bode_phase (H8 (s), [w, 1/1000, 1000]));

(%i19) block ([bode_phase_unwrap : true], 
              bode_phase (H8 (s), [w, 1/1000, 1000]));
</pre>
<p>Para usar essa fun&ccedil;&atilde;o escreva primeiramente <code>load(&quot;bode&quot;)</code>. Veja tamb&eacute;m <code>bode_gain</code>
</p></dd></dl>


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