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  • Committer: Bazaar Package Importer
  • Author(s): Torsten Werner
  • Date: 2005-01-09 22:58:21 UTC
  • mfrom: (1.1.1 upstream)
  • Revision ID: james.westby@ubuntu.com-20050109225821-473xr8vhgugxxx5j
Tags: 3.0-12
changed configure.in to build scilab's own malloc.o, closes: #255869

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<?xml version="1.0" encoding="ISO-8859-1" standalone="no"?>
 
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<!DOCTYPE MAN SYSTEM "../../manrev.dtd">
 
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<MAN>
 
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  <LANGUAGE>eng</LANGUAGE>
 
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  <TITLE>inistate</TITLE>
 
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  <TYPE>Scilab Function</TYPE>
 
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  <DATE>April 1999</DATE>
 
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  <SHORT_DESCRIPTION name="inistate"> Estimates the initial state of a discrete-time system</SHORT_DESCRIPTION>
 
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  <CALLING_SEQUENCE>
 
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    <CALLING_SEQUENCE_ITEM>X0 = inistate(SYS,Y,U,TOL,PRINTW)   </CALLING_SEQUENCE_ITEM>
 
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    <CALLING_SEQUENCE_ITEM>X0 = inistate(A,B,C,Y,U);  </CALLING_SEQUENCE_ITEM>
 
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    <CALLING_SEQUENCE_ITEM>X0 = inistate(A,C,Y);  </CALLING_SEQUENCE_ITEM>
 
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    <CALLING_SEQUENCE_ITEM>  </CALLING_SEQUENCE_ITEM>
 
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    <CALLING_SEQUENCE_ITEM>[x0,V,rcnd] = inistate(SYS,Y,U,TOL,PRINTW)  </CALLING_SEQUENCE_ITEM>
 
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  </CALLING_SEQUENCE>
 
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  <PARAM>
 
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    <PARAM_INDENT>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>SYS</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: given system, syslin(dt,A,B,C,D)</SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>Y</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: the output of the system</SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>U</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: the input of the system</SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>TOL</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: TOL is the tolerance used for estimating the rank of matrices.  If  TOL &gt; 0,  then the given value of  TOL  is used as a lower bound for the reciprocal condition number.</SP>
 
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          <P>
 
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    Default:    prod(size(matrix))*epsilon_machine where epsilon_machine is the relative machine precision. 
 
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  </P>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>PRINTW</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: PRINTW is a switch for printing the warning messages.</SP>
 
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          <PARAM_INDENT>
 
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            <PARAM_ITEM>
 
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              <PARAM_NAME>=  </PARAM_NAME>
 
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              <PARAM_DESCRIPTION>
 
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                <SP>1: print warning messages;</SP>
 
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              </PARAM_DESCRIPTION>
 
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            </PARAM_ITEM>
 
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            <PARAM_ITEM>
 
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              <PARAM_NAME>=  </PARAM_NAME>
 
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              <PARAM_DESCRIPTION>
 
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                <SP>0: do not print warning messages.</SP>
 
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              </PARAM_DESCRIPTION>
 
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            </PARAM_ITEM>
 
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          </PARAM_INDENT>
 
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          <P>
 
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    Default:    PRINTW = 0.
 
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  </P>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>X0</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: the estimated initial state vector</SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>V</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: orthogonal matrix which reduces the system state matrix A to  a real Schur form</SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>rcnd</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: estimate of the reciprocal condition number of the coefficient matrix of the least squares problem solved.</SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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    </PARAM_INDENT>
 
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  </PARAM>
 
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  <DESCRIPTION>
 
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    <P>
 
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    inistate  Estimates the initial state of a discrete-time system, given the 
 
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    (estimated) system matrices, and a set of input/output data.</P>
 
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    <P>
 
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    X0 = inistate(SYS,Y,U,TOL,PRINTW)  estimates the initial state X0 of 
 
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    the discrete-time system SYS = (A,B,C,D), using the output data Y
 
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    and the input data U. The model structure is :</P>
 
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    <VERBATIM>
 
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<![CDATA[
 
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     x(k+1) = Ax(k) + Bu(k),   k >= 1,
 
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     y(k)   = Cx(k) + Du(k),
 
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   ]]>
 
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    </VERBATIM>
 
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    <P>
 
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    The vectors y(k) and u(k) are transposes of the k-th rows of Y and U,
 
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    respectively.</P>
 
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    <P>
 
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    Instead of the first input parameter SYS (an syslin object), equivalent
 
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    information may be specified using matrix parameters, for instance,
 
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    X0 = inistate(A,B,C,Y,U);   or   X0 = inistate(A,C,Y);</P>
 
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    <P>
 
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    [x0,V,rcnd] = inistate(SYS,Y,U,TOL,PRINTW) returns, besides x0, 
 
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    the orthogonal matrix V which reduces the system state matrix A to 
 
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    a real Schur form, as well as an estimate of the reciprocal condition
 
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    number of the coefficient matrix of the least squares problem solved.</P>
 
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  </DESCRIPTION>
 
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  <SEE_ALSO>
 
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    <SEE_ALSO_ITEM>
 
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      <LINK>findBD</LINK>
 
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    </SEE_ALSO_ITEM>
 
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    <SEE_ALSO_ITEM>
 
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      <LINK>findx0BD</LINK>
 
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    </SEE_ALSO_ITEM>
 
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  </SEE_ALSO>
 
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</MAN>