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Import.
| author | Daniele Nicolodi <nicolodi@science.unitn.it> |
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| date | Wed, 23 Nov 2011 19:22:13 +0100 |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/m-toolbox/html_help/help/ug/ltpda_training_topic_4_2.html Wed Nov 23 19:22:13 2011 +0100 @@ -0,0 +1,152 @@ +<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" + "http://www.w3.org/TR/1999/REC-html401-19991224/loose.dtd"> + +<html lang="en"> +<head> + <meta name="generator" content= + "HTML Tidy for Mac OS X (vers 1st December 2004), see www.w3.org"> + <meta http-equiv="Content-Type" content= + "text/html; charset=us-ascii"> + + <title>Transforming models between representations (LTPDA Toolbox)</title> + <link rel="stylesheet" href="docstyle.css" type="text/css"> + <meta name="generator" content="DocBook XSL Stylesheets V1.52.2"> + <meta name="description" content= + "Presents an overview of the features, system requirements, and starting the toolbox."> + </head> + +<body> + <a name="top_of_page" id="top_of_page"></a> + + <p style="font-size:1px;"> </p> + + <table class="nav" summary="Navigation aid" border="0" width= + "100%" cellpadding="0" cellspacing="0"> + <tr> + <td valign="baseline"><b>LTPDA Toolbox</b></td><td><a href="../helptoc.html">contents</a></td> + + <td valign="baseline" align="right"><a href= + "ltpda_training_topic_4_1_3.html"><img src="b_prev.gif" border="0" align= + "bottom" alt="Rational representation"></a> <a href= + "ltpda_training_topic_4_3.html"><img src="b_next.gif" border="0" align= + "bottom" alt="Modelling a system"></a></td> + </tr> + </table> + + <h1 class="title"><a name="f3-12899" id="f3-12899"></a>Transforming models between representations</h1> + <hr> + + <p> + <h2>Transforming between different representations</h2> + +<p> + The LTPDA toolbox allows you to go from one representation to the other. However, + in the current version (v2.3), only the transformations shown in the following + table are allowed +</p> + +<div align="center"> + <img src="images/TransformTable.png" alt="Pole/zero model TF" border="3"> +</div> + +<p> + We can see how this work for the allowed transformation using the models that + we have just created. To turn our <tt>pzmodel</tt> into a <tt>rational</tt> + one, we just need to insert the first into the rational constructor +</p> +<p> + For example, if we consider again our <tt>pzmodel</tt> +</p> + +<div class="fragment"><pre> + pzm = pzmodel(5, [10 2],{1, 0.1},<span class="string">'mymodel'</span>) + ---- pzmodel 1 ---- + name: <span class="string">mymodel</span> + gain: 5 + delay: 0 + iunits: [] + ounits: [] + description: + UUID: 9206f503-69c9-4c20-963e-b5604e59b450 + pole 001: (f=10 Hz,Q=2) + zero 001: (f=1 Hz,Q=NaN) + zero 002: (f=0.1 Hz,Q=NaN) + ------------------- +</pre></div> + +<p> + To transform it into its rational equivalent we just need to give it as a input to + the rational constructor +</p> + +<div class="fragment"><pre> + rat = rational(pzm) + ---- rational 1 ---- + model: rational(<span class="string">mymodel</span>) + num: [1.26651479552922 8.75352187005424 5] + den: [0.000253302959105844 0.00795774715459477 1] + iunits: [] + ounits: [] + description: + UUID: 04b7990b-293c-41a7-a3c9-a311e6f3974b + -------------------- +</pre></div> + +<p> + The transformation returns again the first <tt>pzmodel</tt> however the + name property allows us to follow the operations that we've been performing to + this object. +</p> + +<div class="fragment"><pre> + pzm2 = pzmodel(rat) + ---- pzmodel 1 ---- + name: pzmodel(rational(<span class="string">mymodel</span>)) + gain: 5 + delay: 0 + iunits: [] + ounits: [] + description: + UUID: b2177fde-1465-4c5c-a94f-29d73d9aed67 + pole 001: (f=10 Hz,Q=2) + zero 001: (f=1 Hz,Q=NaN) + zero 002: (f=0.1 Hz,Q=NaN) + ------------------- +</pre></div> + + + + + + + + + + + + </p> + + <br> + <br> + <table class="nav" summary="Navigation aid" border="0" width= + "100%" cellpadding="0" cellspacing="0"> + <tr valign="top"> + <td align="left" width="20"><a href="ltpda_training_topic_4_1_3.html"><img src= + "b_prev.gif" border="0" align="bottom" alt= + "Rational representation"></a> </td> + + <td align="left">Rational representation</td> + + <td> </td> + + <td align="right">Modelling a system</td> + + <td align="right" width="20"><a href= + "ltpda_training_topic_4_3.html"><img src="b_next.gif" border="0" align= + "bottom" alt="Modelling a system"></a></td> + </tr> + </table><br> + + <p class="copy">©LTP Team</p> +</body> +</html>