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// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
// Copyright (C) INRIA -
//
// This file must be used under the terms of the CeCILL.
// This source file is licensed as described in the file COPYING, which
// you should have received as part of this distribution. The terms
// are also available at
// http://www.cecill.info/licences/Licence_CeCILL_V2.1-en.txt
function h=trfmod(h,job)
// hm=trfmod(h [,job])
// To visualize the pole-zero structure of a SISO transfer function h
// job='p' : visualization of polynomials (default)
// job='f' : visualization of natural frequencies and damping
//
//!
select typeof(h)
case "rational" then
if size(h("num"))<>[1 1] then
error(msprintf(gettext("%s: Wrong size for input argument #%d: Single input, single output system expected.\n"),"trfmod",1))
end
flag="r"
case "state-space" then
if size(h("D"))<>[1 1] then
error(msprintf(gettext("%s: Wrong size for input argument #%d: Single input, single output system expected.\n"),"trfmod",1))
end
flag="lss"
den=real(poly(h("A"),"s"))
na=degree(den)
c=h(4)
[m,i]=max(abs(c))
ci=c(i)
t=eye(h(2))*ci;t(i,:)=[-c(1:i-1), 1, -c(i+1:na)]
al=h(2)*t;
t=eye(h(2))/ci;t(i,:)=[c(1:i-1)/ci, 1, c(i+1:na)/ci]
al=t*al;ai=al(:,i),
b=t*h(3)
al(:,i)=ai+b
num=-(real(poly(al,"s"))-den)*ci
h=syslin(h(7),num+h(5)*den,den);
else
error(msprintf(gettext("%s: Wrong type for input argument #%d: Linear state space or a transfer function expected.\n"),"trfmod",1))
end
//
ft = format();
format("v", 15);
[lhs,rhs]=argn(0)
if rhs==1 then job="p",end
//
if type(h("num"))==1 then h("num")=poly(h("num"),varn(h("den")),"c"),end
if type(h("den"))==1 then h("den")=poly(h("den"),varn(h("num")),"c"),end
var=varn(h("num")),nv=length(var);
while part(var,nv)==" " then nv=nv-1,end;var=part(var,1:nv);
fnum=polfact(h("num"))
fden=polfact(h("den"))
g=coeff(fnum(1))/coeff(fden(1))
nn=prod(size(fnum))
nd=prod(size(fden))
//
num=[]
for in=2:nn
p=fnum(in)
if job=="p" then
num=[num;pol2str(p)]
else
if degree(p)==2 then
p=coeff(p)
omeg=sqrt(p(1))
xsi=p(2)/(2*omeg)
num=[num;string(omeg)+" "+string(xsi)]
else
num=[num;string(-coeff(p,0))]
end
end
end
//
den=[];
for id=2:nd
p=fden(id)
if job=="p" then
den=[den;pol2str(p)]
else
if degree(p)==2 then
p=coeff(p)
omeg=sqrt(p(1))
xsi=p(2)/(2*omeg)
den=[den;string(omeg)+" "+string(xsi)]
else
den=[den;string(-coeff(p,0))]
end
end
end
txt=[_("Gain :");string(g);_("Numerator :");num;_("Denominator :");den]
id=[]
if job=="p" then
tit=[gettext("Irreducible Factors of transfer function (click below)")]
else
tit=[gettext("Irreducible Factors of transfer function natural frequency and damping factor (click below)")]
end
while id==[] then
t=x_dialog(tit,txt)
id=find(t==_("Denominator :"))
end
txt=t;
tgain=txt(2)
tnum=txt(4:id-1)
tden=txt(id+1:prod(size(txt)))
execstr(var+"=poly(0,''"+var+"'')")
num=1
for in=1:prod(size(tnum))
txt=tnum(in)
if length(txt)==0 then txt=" ",end
if job=="p" then
t=" ";
for k=1:length(txt),
tk=part(txt,k),
if tk<>" " then t=t+tk,end
end
f=1;if t<>" " then f=evstr(t),end
else
if txt==part(" ",1:length(txt)) then
f=1
else
f=evstr(txt)
select prod(size(f))
case 1 then
f=poly(f,var)
case 2 then
f=poly([f(1)*f(1), 2*f(1)*f(2),1],var,"c")
else
error(msprintf(gettext("%s: Incorrect answer.\n"),"trfmod"))
end
end
end
num=num*f
end
//
den=1
for id=1:prod(size(tden))
txt=tden(id);
if length(txt)==0 then txt=" ",end
if job=="p" then
t=" ";
for k=1:length(txt),
tk=part(txt,k),
if tk<>" " then t=t+tk,end
end
f=1;if t<>" " then f=evstr(t),end
else
if txt==part(" ",1:length(txt)) then
f=1
else
f=evstr(txt)
select prod(size(f))
case 1 then
f=poly(f,var)
case 2 then
f=poly([f(1)*f(1), 2*f(1)*f(2),1],var,"c")
else
error(msprintf(gettext("%s: Incorrect answer.\n"),"trfmod"))
end
end
end
den=den*f
end
x=evstr(tgain)/coeff(den,degree(den))
h("num")=num*x
h("den")=den/coeff(den,degree(den))
format(ft(2),ft(1));
if flag=="lss" then h=tf2ss(h),end
endfunction
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