2016
DOI: 10.1177/0142331216663618
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Online identification of non-linear dynamic systems by Wiener model using subspace method and neural networks

Abstract: This paper presents a method for online identification of non-linear dynamic systems using the Wiener model. For the linear dynamic part the subspace identification method with the multivariable output-error state-space algorithm is employed, whereas for the non-linear static part the multi-layer perceptron neural network with Levenberg–Marquardt algorithm is used. The stability and convergence of the proposed method is shown using the Lyapunov direct method and the region solution of the linear matrix inequal… Show more

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Cited by 9 publications
(3 citation statements)
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“…Because of good parallel structure and better learning ability, neural networks have better approximately capability for the modeling, identification and control of nonlinear systems (Li et al, 2015; Lin et al, 2018; Montague et al, 1996; Sadehgi and Farrokhi, 2018). The training procedure with large number of iterations was the cause of slower convergence and higher computational complexity.…”
Section: Introductionmentioning
confidence: 99%
“…Because of good parallel structure and better learning ability, neural networks have better approximately capability for the modeling, identification and control of nonlinear systems (Li et al, 2015; Lin et al, 2018; Montague et al, 1996; Sadehgi and Farrokhi, 2018). The training procedure with large number of iterations was the cause of slower convergence and higher computational complexity.…”
Section: Introductionmentioning
confidence: 99%
“…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.…”
Section: Introductionmentioning
confidence: 99%
“…Because of good parallel structure and better learning ability, neural networks have better approximately capability for the modeling, identification and control of nonlinear systems (Lin, 2015, 2019; Lin et al, 2002, 2018; Sadehgi and Farrokhi, 2018). The training procedure with large number of iterations was the cause of slower convergence and higher computational complexity.…”
Section: Introductionmentioning
confidence: 99%