Scilab Home page | Wiki | Bug tracker | Forge | Mailing list archives | ATOMS | File exchange
Please login or create an account
Change language to: English - Português - Русский - 日本語

Please note that the recommended version of Scilab is 6.0.0. This page might be outdated.
See the recommended documentation of this function

Aide de Scilab >> CACSD (Computer Aided Control Systems Design) > bilin

bilin

general bilinear transform

Calling Sequence

[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

s=poly(0,'s');z=poly(0,'z');
w=ssrand(1,1,3);
wtf=ss2tf(w);v=[2,3,-1,4];a=v(1);b=v(2);c=v(3);d=v(4);
[horner(wtf,(a*z+b)/(c*z+d)),ss2tf(bilin(w,[a,b,c,d]))]
clean(ss2tf(bilin(bilin(w,[a,b,c,d]),[d,-b,-c,a]))-wtf)

See Also

  • horner — évaluation d'un polynôme ou d'une fraction rationnelle
  • cls2dls — bilinear transform
Scilab Enterprises
Copyright (c) 2011-2017 (Scilab Enterprises)
Copyright (c) 1989-2012 (INRIA)
Copyright (c) 1989-2007 (ENPC)
with contributors
Last updated:
Thu Oct 02 13:54:31 CEST 2014