Scilab-Branch-6.1-GIT
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See the recommended documentation of this function
bilin
general bilinear transform
Syntax
sl1 = bilin(sl, v)
Arguments
- sl,sl1
linear systems (
syslin
lists)- v
real vector with 4 entries (
v=[a,b,c,d]
)
Description
Given a linear system in state space form, sl=syslin(dom,A,B,C,D)
(syslin
list), sl1=bilin(sl,v)
returns in sl1
a
linear system with matrices [A1,B1,C1,D1]
such that
the transfer function H1(s)=C1*inv(s*eye()-A1)*B1+D1
is
obtained from H(z)=C*inv(z*eye()-A)*B+D
by replacing z
by z=(a*s+b)/(c*s+d)
.
One has w=bilin(bilin(w,[a,b,c,d]),[d,-b,-c,a])
Examples
See also
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