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function varargout = fitch(varargin)
// Characteristics of estimated model
//
// Calling Sequence
// estData = fitch(sys)
// Parameters
// sys : idpoly type polynomial
// estData : stuct type variable have following objects
// MSE : Mean Square Error, show the wellness of the estimated model on plant data
// FPE : Final Prediction Error
// FitPer : Normalized root mean squared error (NRMSE), show the precentage fit of the estimated model on plant data
// AIC : Raw Akaike Information Citeria (AIC), show the model quality
// AICc : Small sample-size corrected AIC
// nAIC : Normalized AIC
// BIC : Bayesian Information Criteria (BIC)
// Description
// fitch function represent other calculated model characteristics to show the wellness of the model on different scales.
// Examples
// a = [1 0.2];b = [0 0.2 0.3];
// sys1 = idpoly(a,b,'Ts',0.1)
// u = idinput(1024,'PRBS',[0 1/20],[-1 1])
// y = sim(u,sys)+rand(1024,1)
// plantData = iddata(y,u,0.1)
// sys = arx(plantData,[2,2,1])
// estData = fitch(sys)
// Authors
// Ashutosh Kumar Bhargava, Bhushan Manjarekar
[lhs , rhs] = argn()
if ( rhs <> 1 ) then
errmsg = msprintf(gettext("%s: Wrong number of input arguments"), "fitch");
error(errmsg)
elseif typeof(varargin(1)) <> "idpoly" then
error(msprintf(gettext("%s:Input model must be ""idpoly"" type.\n"),"fitch"))
end
model = varargin(1)
MSE = model.Report.Fit.MSE
FPE = model.Report.Fit.FPE
FitPer = model.Report.Fit.FitPer
AIC = model.Report.Fit.AIC
AICc = model.Report.Fit.AICc
nAIC = model.Report.Fit.nAIC
BIC = model.Report.Fit.BIC
t = tlist(['fitch','MSE','FPE','FitPer','AIC','AICc','nAIC','BIC'],MSE,FPE,FitPer,AIC,AICc,nAIC,BIC)
varargout(1) = t
endfunction
function %fitch_p(mytlist)
f = fieldnames(mytlist)
maxLength = []
for ii = 1:size(f,'*')
maxLength = [maxLength length(f(ii))]
end
maxLength = max(maxLength)
for ii = 1:size(f,'*')
blanckSpace = ' '
for jj = 1:maxLength-length(f(ii))
blanckSpace = blanckSpace + ' '
end
mprintf('\t%s%s : ',blanckSpace,f(ii))
objectData = mytlist(f(ii))
if ceil(objectData)-objectData then
mprintf("%.4f",objectData)
else
mprintf("%d",objectData)
end
mprintf("\n")
end
endfunction
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