Man Scilab

balreal
Scilab Function

balreal - balanced realization

Calling Sequence

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

Parameters

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 ,   obs_gram ,   hankelsv ,   equil ,   equil1 ,  

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