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  • Committer: Bazaar Package Importer
  • Author(s): Torsten Werner
  • Date: 2002-03-21 16:57:43 UTC
  • Revision ID: james.westby@ubuntu.com-20020321165743-e9mv12c1tb1plztg
Tags: upstream-2.6
Import upstream version 2.6

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man/control/balreal.man
 
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.TH balreal 1 "April 1993" "Scilab Group" "Scilab Function"
 
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.so ../sci.an 
 
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.SH NAME
 
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balreal - balanced realization
 
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.SH CALLING SEQUENCE
 
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.nf
 
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[slb [,U] ] = balreal(sl)
 
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.fi
 
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.SH PARAMETERS
 
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.TP
 
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sl,slb
 
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: linear systems (\fVsyslin\fR lists)
 
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.SH DESCRIPTION
 
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Balanced realization of linear system \fVsl=[A,B,C,D]\fR. \fVsl\fR
 
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can be a continuous-time or discrete-time state-space system. 
 
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sl is assumed stable.
 
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.nf
 
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slb=[inv(U)*A*U ,inv(U)*B , C*U , D]
 
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.fi
 
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is the balanced realization.
 
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.LP
 
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\fVslb\fR is returned as a \fVsyslin\fR list.
 
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.SH EXAMPLE
 
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.nf
 
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A=diag([-1,-2,-3,-4,-5]);B=rand(5,2);C=rand(1,5);
 
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sl=syslin('c',A,B,C);
 
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[slb,U]=balreal(sl);
 
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Wc=clean(ctr_gram(slb))
 
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W0=clean(obs_gram(slb))
 
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.fi
 
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.SH SEE ALSO
 
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ctr_gram, obs_gram, hankelsv, equil, equil1
 
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