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A bank of Laguerre filters operating in the all-pass domain, which is capable of handling the non-equidistant data, is used to get the input\u2013output matrix equation of the systems. We put the emphasis on the parity space opposed to the observable subspace. The instrumental variable method and principal component analysis estimate the system consistently, solving the issue of biased estimate for the closed-loop operation of the system caused by the feedback controller. 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