minreal - minimal balanced realization

Calling Sequence

slb=minreal(sl [,tol])

Parameters

• sl,slb : syslin lists
• tol : real (threshold)

Description

[ae,be,ce]=minreal(a,b,c,domain [,tol]) returns the balanced realization of linear system sl (syslin list).

sl is assumed stable.

tol threshold used in equil1.

Examples

A=[-eye(2,2),rand(2,2);zeros(2,2),-2*eye(2,2)];
B=[rand(2,2);zeros(2,2)];C=rand(2,4);
sl=syslin('c',A,B,C);
slb=minreal(sl);
ss2tf(sl)
ss2tf(slb)
ctr_gram(sl)
clean(ctr_gram(slb))
clean(obs_gram(slb))
 

See Also

minss  balreal  arhnk  equil  equil1  

Author

S. Steer INRIA 1987