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function sys = idpoly(varargin)
// Stores the identification coefficients
//
// Calling Sequence
// sys = idpoly(aCoeff,bCoeff,cCoeff,dCoeff,fCoeff,Ts)
//
// Parameters
// aCoeff : 1xn coefficient matrix of the polynomial A(z^-1)
// bCoeff : 1xn coefficient matrix of the polynomial B(z^-1)
// cCoeff : 1xn coefficient matrix of the polynomial C(z^-1)
// dCoeff : 1xn coefficient matrix of the polynomial D(z^-1)
// fCoeff : 1xn coefficient matrix of the polynomial F(z^-1)
//
// Description
// It is a idpoly type polynomials that stores the identification coefficients A,B,C,D, and F with sampling time Ts. The time unite is in second. It stores other parameters
// in Report object.
// Examples
// aCoeff = [1 rand(1,2)]
// bCoeff = [0 rand(1,3)]
// cCoeff = [1 rand(1,2)]
// dCoeff = [1 rand(1,2)]
// fCoeff = [1 rand(1,2)]
// Ts = 0.1
// sys1 = idpoly(aCoeff,bCoeff,cCoeff,dCoeff,fCoeff,Ts)
// sys2 = idpoly(aCoeff,bCoeff,cCoeff,'Ts',Ts)
// sys1 = idpoly(1,bCoeff,cCoeff,1,fCoeff,Ts)
//
// Authors
// Ashutosh Kumar Bhargava
[lhs,rhs] = argn(0)
tempCell = cell(6,1)
tempTs = 0
for ii = 1:rhs
if typeof(varargin(ii)) == 'string' & varargin(ii) == 'Ts' then
tempCell{6,1} = varargin(ii+1)
break
elseif ~size(varargin(ii),'*') then
tempCell{ii,1} = 1
elseif size(varargin(ii),'*') then
tempCell{ii,1} = varargin(ii)
end
end
// disp(tempCell)
for ii = 1:6
if ~size(cell2mat(tempCell(ii,1)),'*') & ii ~= 6 then
tempCell{ii,1} = 1
elseif ~size(cell2mat(tempCell(ii,1)),'*') & ii == 6 then
tempCell{ii,1} = -1
end
end
// storing the data in A,B,C,D,F matrix
// B(z) D(z)
// y(n)=---------- u(n)+ ----------- e(n)
// A(z)F(z) A(z)D(z)
A = cell2mat(tempCell(1,1)); B = cell2mat(tempCell(2,1));
C = cell2mat(tempCell(3,1)); D = cell2mat(tempCell(4,1));
F = cell2mat(tempCell(5,1)); Ts = cell2mat(tempCell(6,1));
if A(1,1) ~= 1 then
error(msprintf(gettext("%s: The first coefficient of ""A(z)"" polynomial must be 1.\n"),"idpoly"))
elseif C(1,1) ~= 1 then
error(msprintf(gettext("%s: The first coefficient of ""C(z)"" polynomial must be 1.\n"),"idpoly"))
elseif D(1,1) ~= 1 then
error(msprintf(gettext("%s: The first coefficient of ""D(z)"" polynomial must be 1.\n"),"idpoly"))
elseif F(1,1) ~= 1 then
error(msprintf(gettext("%s: The first coefficient of ""F(z)"" polynomial must be 1.\n"),"idpoly"))
end
report = struct('MSE',0,'FPE',0,'FitPer',0,'AIC',0,'AICc',0,'nAIC',0,'BIC',0)
errors = [0 0 0]
report = struct('Fit',report,'Uncertainty',errors)
t = tlist(['idpoly','a','b','c','d','f','Variable','TimeUnit','Ts','Report'],A,B,C,D,F,'z^-1','seconds',Ts,report)
// t = tlist(['idpoly','a','b','c','d','f','Variable','TimeUnit','Ts'],A,B,C,D,F,'z^-1','seconds',Ts)
sys = t
endfunction
function %idpoly_p(mytlist)
f = fieldnames(mytlist)
// A polynomial
if mytlist(f(1)) == 1 && size(mytlist(f(1)),'*') == 1 then
else
mprintf('\n A(z) =')
temp = poly2str(mytlist(f(1)))
mprintf('%s\n',temp)
end
// B polynomial
if mytlist(f(2)) == 1 then
else
mprintf('\n B(z) =')
temp = poly2str(mytlist(f(2)))
mprintf('%s\n',temp)
end
// C polynomial
if mytlist(f(3)) == 1 && size(mytlist(f(3)),'*') == 1 then
else
mprintf('\n C(z) =')
temp = poly2str(mytlist(f(3)))
mprintf('%s\n',temp)
end
// D polynomial
if mytlist(f(4)) == 1 && size(mytlist(f(4)),'*') == 1 then
elseif size(mytlist(f(4)),'*') > 1 then
mprintf('\n D(z) =')
temp = poly2str(mytlist(f(4)))
mprintf('%s\n',temp)
end
// F polynomial
if mytlist(f(5)) == 1 && size(mytlist(f(5)),'*') == 1 then
else
mprintf('\n F(z) =')
temp = poly2str(mytlist(f(5)))
mprintf('%s\n',temp)
end
mprintf('\n Sampling Time = ')
if mytlist.Ts == -1 then
mprintf('undefined')
else
if (ceil(mytlist.Ts)-mytlist.Ts) == 0 then
mprintf('%d %s',mytlist.Ts,mytlist.TimeUnit)
else
mprintf('%0.4f %s',mytlist.Ts,mytlist.TimeUnit)
end
end
// disp(mytlist.Ts)
mprintf('\n')
if mytlist.Report.Fit.MSE then
temp = ['MSE','FPE','FitPer','AIC','AICc','nAIC','BIC']
spaces = ' '
for ii = 1:size(temp,'c')
digiLength = length(string(round(mytlist.Report.Fit(temp(ii)))))
digiLength = digiLength + 5-length(temp(ii))
blank = ''
for jj = 1:digiLength+1
blank = blank + " "
end
spaces = spaces+blank+temp(ii)+' '
end
mprintf('\n')
mprintf(spaces)
mprintf("\n %.4f %.4f %.4f %.4f %.4f %.4f %.4f",mytlist.Report.Fit.MSE,mytlist.Report.Fit.FPE,mytlist.Report.Fit.FitPer,mytlist.Report.Fit.AIC,mytlist.Report.Fit.AICc,mytlist.Report.Fit.nAIC,mytlist.Report.Fit.BIC)
end
endfunction
function strout = poly2str(h)
temp = poly(h,'x','coeff')
temp = pol2str(temp)
temp = strsubst(temp,'-',' - ')
temp = strsubst(temp,'x^',' z^-')
temp = strsubst(temp,'x',' z^-1')
temp = strsubst(temp,'*','')
temp = strsubst(temp,'+',' + ')
[ind which]=strindex(temp,'-')
// disp(ind)
// disp(which)
if ind(1,1) ~= 2 then
temp = ' ' + temp
elseif ind(1,1) == 2 then
temp = part(temp,4:length(temp))
temp = ' -' + temp
end
strout = temp
endfunction
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