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Scilab Help >> Control Systems - CACSD > Model Transformation > arhnk

arhnk

Hankel norm approximant

Syntax

[slm]=arhnk(sl,ord,[tol])

Arguments

sl

linear system (syslin list)

ord

integer, order of the approximant

tol

threshold for rank determination in equil1

Description

computes slm, the optimal Hankel norm approximant of the stable continuous-time linear system sl with matrices [A,B,C,D].

Examples

A=diag([-1,-2,-3,-4,-5]);B=rand(5,1);C=rand(1,5);
sl=syslin('c',A,B,C);
slapprox=arhnk(sl,2);
[nk,W]=hankelsv(sl);nk
[nkred,Wred]=hankelsv(slapprox);nkred

See also

  • equil — balancing of pair of symmetric matrices
  • equil1 — balancing (nonnegative) pair of matrices
  • hankelsv — Hankel singular values
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Last updated:
Thu Feb 14 14:57:17 CET 2019