Title | ||
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Robust identification for input non-uniformly sampled Wiener model by the expectation-maximisation algorithm |
Abstract | ||
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The problems of inconsistent data sampling frequency, outliers, and coloured noise often exist in system identification, resulting in unsatisfactory identification results. In this study, a novel identification method of input non-uniform sampling Wiener model with a coloured heavy-tailed noise is proposed. The lifted Wiener model with coloured noise and outlier value disturbed is constructed. Under the expectation-maximisation (EM) algorithm framework, the student's t-distribution is introduced to model the contaminated output data. The variance scale is regarded as a unique latent variable, and the iterative parameter estimation formula of the non-uniform sampling Wiener model is derived. The idea of the auxiliary model is applied to acquire the unmeasured middle variable and handle the coloured noise variable in the non-uniformly sampled Wiener model. The Differential Evolution algorithm is used to calculate the intractable part of the Q-function. The convergence analysis of the proposed algorithm is given. Two numerical examples and one water tank simulation are employed to indicate the effectiveness of the proposed method. |
Year | DOI | Venue |
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2022 | 10.1049/sil2.12090 | IET SIGNAL PROCESSING |
Keywords | DocType | Volume |
coloured heavy-tailed noise, DE algorithm, EM algorithm, non-linear system, non-uniformly sampled, parameter estimation | Journal | 16 |
Issue | ISSN | Citations |
3 | 1751-9675 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
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Qibing Jin | 1 | 19 | 11.28 |
Zeyu Wang | 2 | 0 | 0.34 |