Synthesis identification analysis for closed loop EIV system

This new paper combines errors-in-variable (EIV) system with closed loop situation to consider a more complex EIV system. Consider the identification problem for system, synthesis analysis is completed from point of field. Firstly, reason about why useful in academy and practice explained detail. Secondly, identify that unknown plant, existing measurement process noise simultaneously, nonparametric estimate proposed be one plant through our own mathematical derivation. Then statistical above studied show unbiased property. Thirdly, rational transfer function as parameterized by parameter vector, transferred into estimate, so after reformulating input-output relation least squares solution derived biased. To avoid this explicit biased term, bias compensated an iterative are improve overall performance. Finally, practical example existence considered detailed numerical results prove strategies.