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-rw-r--r--rarx.sci63
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+function varargout = rarx(varargin)
+ [lhs,rhs] = argn(0)
+//
+ plantData = varargin(1)
+ orderData = varargin(2)
+ na = orderData(1);nb = orderData(2)
+ // arranging na ,nb,nk
+ if size(orderData,"*") == 2 then
+ nk = 1
+ elseif size(orderData,'*') == 3 then
+ nk = orderData(3)
+ end
+ // storing the lambda value
+ if rhs == 3 then
+ lambda = varargin(3)
+ else
+ lambda = 0.95
+ end
+
+ nb1 = nb + nk - 1
+ n = max(na, nb1)
+ // arranging the plant data
+ if typeof(plantData) == 'constant' then
+ Ts = 1;unitData = 'second'
+ elseif typeof(plantData) == 'iddata' then
+ Ts = plantData.Ts;unitData = plantData.TimeUnit
+ plantData = [plantData.OutputData plantData.InputData]
+ end
+ N = size(plantData,'r')
+ uIndex = nk:nb1
+ yIndex = []
+ if na <> 0 then
+ yIndex = 1:na
+ end
+ df = N - na - nb
+ Plast = 10^4 * (eye(na+nb,na + nb))
+ theta = zeros(N + 1, na + nb)
+ yHat = plantData(:,1);yData = plantData(:,1)
+ tempData = zeros(N,na+nb)
+ for ii = 1:na
+ tempData(ii+1:ii+N,ii) = -plantData(:,1)
+ end
+ // arranging samples of u matrix
+ for ii = 1:nb
+ tempData(ii+nk:ii+N+nk-1,ii+na) = plantData(:,2)
+ end
+ //tempData = [zeros(1,na+nb);tempData]
+ tempData = tempData(1:N+1,:)
+
+ for ii = 1:N
+ temp = tempData(ii,:)
+ yHat(ii) = temp*theta(ii,:)'
+ eps_i = yData(ii)-yHat(ii)
+ kappa_i = Plast * temp'/(lambda + temp * Plast * temp')
+ theta(ii+1,:) = ((theta(ii,:))' + eps_i * kappa_i)'
+ Plast = (eye(na + nb,na + nb) - kappa_i * (temp)) * Plast/lambda
+
+ end
+ theta = theta(1:N,:)
+ yHat = yHat(1:N)
+
+ varargout(1) = struct('theta',theta,'yHat',yHat)
+endfunction