“…8,9 The Wiener models, which are composed of a linear filter and a static nonlinearity, are a class of output nonlinear systems, and they have been proved to be useful as nonlinear models for many practical applications, such as continuous stirred tank reactors, 10,11 solid oxide fuel cell, 12 pH neutralization process, 13 wind power forecasting, 14 and so on. Over the past few decades, a lot of effective approaches have been developed for dealing with the problem of the Wiener systems identification, including over parameterization algorithm, 15 subspace method, 16,17 frequency-type method, 18 exciting signals-based techniques, 19,20 iterative algorithm, [21][22][23] auxiliary model-based multi-innovation method, [24][25][26] and least squares method. 27 Since noises widely exist in actual industrial processes, and are often colored noise, which play a vital influence on system identification, thus it is very significant to focus on the Wiener systems with noises.…”