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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
//
//!
// Copyright INRIA
typ=type(h);h1=h(1);
if typ==16&h1(1)=='r' then
if size(h('num'))<>[1 1] then
error(' SISO plant only')
end
flag='r'
elseif typ==16&h1(1)=='lss' then
if size(h('D'))<>[1 1] then
error('trfmod: SISO plant only')
end
flag='lss'
den=real(poly(h('A'),'s'))
na=degree(den)
c=h(4)
[m,i]=maxi(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('waiting for a transfer function as argument ')
end
//
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=[' Irreducible Factors ';
' of transfer function (click below) ']
else
tit=[' 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('incorrect answer...')
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('incorrect answer...')
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(10)
if flag=='lss' then h=tf2ss(h),end
endfunction
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