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minreal

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

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