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Справка Scilab >> CACSD > Model Transformation > balreal

balreal

balanced realization

Syntax

[slb [,U] ] = balreal(sl)

Arguments

sl,slb

linear systems (syslin lists)

Description

Balanced realization of linear system sl=[A,B,C,D]. sl can be a continuous-time or discrete-time state-space system. sl is assumed stable.

slb=[inv(U)*A*U ,inv(U)*B , C*U , D]

is the balanced realization.

slb is returned as a syslin list.

Examples

A=diag([-1,-2,-3,-4,-5]);B=rand(5,2);C=rand(1,5);
sl=syslin('c',A,B,C);
[slb,U]=balreal(sl);
Wc=clean(ctr_gram(slb))
W0=clean(obs_gram(slb))

See also

  • ctr_gram — controllability gramian
  • obs_gram — observability gramian
  • hankelsv — Hankel singular values
  • equil — balancing of pair of symmetric matrices
  • equil1 — balancing (nonnegative) pair of matrices
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Last updated:
Tue Feb 14 15:13:23 CET 2017