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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
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