function varargout = iv(varargin) [lhs , rhs] = argn(0); if ( rhs < 2 || rhs > 3) then errmsg = msprintf(gettext("%s: Unexpected number of input arguments : %d provided while should be 2 or 3"), "iv", rhs); error(errmsg) end plantData = varargin(1) if typeof(plantData) == 'iddata' then Ts = plantData.Ts;unit = plantData.TimeUnit plantData = [plantData.OutputData plantData.InputData] elseif typeof(plantData) == 'constant' then Ts = 1;unit = 'seconds' end if ((~size(plantData,2)==2) & (~size(plantData,1)==2)) then errmsg = msprintf(gettext("%s: input and output data matrix should be of size (number of data)*2"), "iv"); error(errmsg); end if (~isreal(plantData)) then errmsg = msprintf(gettext("%s: input and output data matrix should be a real matrix"), "arx"); error(errmsg); end n = varargin(2) if (size(n,"*")<2| size(n,"*")>3) then errmsg = msprintf(gettext("%s: The order and delay matrix [na nb nk] should be of size [2 or 3]"), "iv"); error(errmsg); end if (size(find(n<0),"*") | size(find(((n-floor(n))<%eps)== %f))) then errmsg = msprintf(gettext("%s: values of order and delay matrix [na nb nk] should be nonnegative integer number "), "iv"); error(errmsg); end na = n(1);nb = n(2) if size(n,'*') == 2 then nk = 1 elseif size(n,'*') == 3 then nk = n(3) end yData = plantData(:,1) uData = plantData(:,2) noOfSample = size(plantData,'r') nb1 = nb + nk - 1 n = max(na, nb1) if rhs == 3 then if typeof(varargin(3)) <> 'constant' then errmsg = msprintf(gettext("%s: Incompatible last input argument. "), "iv"); error(errmsg) elseif size(varargin(3),'r') <> size(uData,'r') then errmsg = msprintf(gettext("%s: number of samples of output must be equal to the dimensions of plant data "), "iv"); error(errmsg); end x = varargin(3) elseif rhs == 2 arxModel = arx(plantData,[na nb nk]) x = sim(uData,arxModel) end phif = zeros(noOfSample,na+nb) psif = zeros(noOfSample,na+nb) // arranging samples of y matrix for ii = 1:na phif(ii+1:ii+noOfSample,ii) = yData psif(ii+1:ii+noOfSample,ii) = x end // arranging samples of u matrix for ii = 1:nb phif(ii+nk:ii+noOfSample+nk-1,ii+na) = uData psif(ii+nk:ii+noOfSample+nk-1,ii+na) = uData end lhs = psif'*phif lhsinv = pinv(lhs) //pause theta = lhsinv * (psif)' * [yData;zeros(n,1)] ypred = (phif * theta) ypred = ypred(1:size(yData,'r')) e = yData - ypred sigma2 = norm(e)^2/(size(yData,'r') - na - nb) vcov = sigma2 * pinv((phif)' * phif) t = idpoly([1; -theta(1:na)],[zeros(nk,1); theta(na+1:$)],1,1,1,1) // estimating the other parameters [temp1,temp2,temp3] = predict(z,t) [temp11,temp22,temp33] = pe(z,t) estData = calModelPara(temp1,temp11,na+nb) //pause t.Report.Fit.MSE = estData.MSE t.Report.Fit.FPE = estData.FPE t.Report.Fit.FitPer = estData.FitPer t.Report.Fit.AIC = estData.AIC t.Report.Fit.AICc = estData.AICc t.Report.Fit.nAIC = estData.nAIC t.Report.Fit.BIC = estData.BIC t.TimeUnit = unit //sys = t varargout(1) = t endfunction