balreal - Balanced realization (original) (raw)
Scilab 5.3.3
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Please note that the recommended version of Scilab is 2026.0.1. This page might be outdated.
See the recommended documentation of this function
Scilab help >> CACSD > balreal
Calling Sequence
[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)AU ,inv(U)B , CU , 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