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<name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Stability Analysis for Linear Systems</name>
<metadata xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">
  <md:version xmlns:bib="http://bibtexml.sf.net/">1.1</md:version>
  <md:created xmlns:bib="http://bibtexml.sf.net/">2006/11/29 14:04:22.190 US/Central</md:created>
  <md:revised xmlns:bib="http://bibtexml.sf.net/">2006/11/29 15:01:42.369 US/Central</md:revised>
  <md:authorlist xmlns:bib="http://bibtexml.sf.net/">
      <md:author xmlns:bib="http://bibtexml.sf.net/" id="jfalcon">
      <md:firstname xmlns:bib="http://bibtexml.sf.net/">Jeannie</md:firstname>
      <md:othername xmlns:bib="http://bibtexml.sf.net/">Sullivan</md:othername>
      <md:surname xmlns:bib="http://bibtexml.sf.net/">Falcon</md:surname>
      <md:email xmlns:bib="http://bibtexml.sf.net/">jeannie.falcon@ni.com</md:email>
    </md:author>
  </md:authorlist>

  <md:maintainerlist xmlns:bib="http://bibtexml.sf.net/">
    <md:maintainer xmlns:bib="http://bibtexml.sf.net/" id="jfalcon">
      <md:firstname xmlns:bib="http://bibtexml.sf.net/">Jeannie</md:firstname>
      <md:othername xmlns:bib="http://bibtexml.sf.net/">Sullivan</md:othername>
      <md:surname xmlns:bib="http://bibtexml.sf.net/">Falcon</md:surname>
      <md:email xmlns:bib="http://bibtexml.sf.net/">jeannie.falcon@ni.com</md:email>
    </md:maintainer>
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  <md:keywordlist xmlns:bib="http://bibtexml.sf.net/">
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">LabVIEW</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">linear system</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">stability</md:keyword>
  </md:keywordlist>

  <md:abstract xmlns:bib="http://bibtexml.sf.net/">This module includes an example for linear system analysis developed in LabVIEW.  The example is interactive and shows the effect of changing transfer function coefficients on system stability.</md:abstract>
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<para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="id4019022">The attached file is a VI created using the
LabVIEW Control Design Toolkit for stability analysis of a second
order linear system. The system is represented by a transfer
function and the user can change the coefficients interactively on
the front panel of the VI (Figure 1) to examine changes in the pole
values, pole-zero map, stability indicator, and step response. The
block diagram of the VI is shown in Figure 2. This VI can be used
as an in-class demonstration or homework problem to teach students
about stability concepts and can be easily modified to describe
higher order transfer functions or MIMO systems described with a
state space representation.</para>
<para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="element-393"><link xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" src="stability_linear_sys.vi"> Download attachment here. Requires LabVIEW 8.20 and LabVIEW Control Design Toolkit 2.1.1 </link> 
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