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Recursive methods for estimating the radial basis function-based state-dependent autoregressive model

delete2020-01-22
delete7
PRE
AI
Y
Yihong Zhou
丁凤 (Feng Ding) *
Y
Yan Ji
T
Tasawar Hayat
DOI:10.1002/rnc.4890delete
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Abstract

Abstract

En 中文
Identifying a nonlinear radial basis function-based state-dependent autoregressive (RBF-AR) time series model is the basis for solving the corresponding prediction and control problems. This paper studies some recursive parameter estimation algorithms for the RBF-AR model. Considering the difficulty of the nonlinear optimal problem arising in estimating the RBF-AR model, an overall forgetting gradient algorithm is deduced based on the negative gradient search. A numerical method with a forgetting factor is provided to solve the problem of determining the optimal convergence factor. In order to improve the parameter estimation accuracy, the multi-innovation identification theory is applied to develop an overall multi-innovation forgetting gradient (O-MIFG) algorithm. The simulation results indicate that the estimation model based on the O-MIFG algorithm can capture the dynamics of the RBF-AR model very well.
Keywords:
multi-innovation identification
nonlinear time series
parameter estimation
RBF-AR model
recursive search
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Journal

International Journal of Robust and Nonlinear Control cover
International Journal of Robust and Nonlinear Control
IF:
3.2
Papers:
6.9K
Citations:
1.4W

Organization

K
King Abdulaziz University
Scholars:
2.0W
Papers: 1.9W
Citations: 3.3W
J
Jiangnan University
Scholars:
3.9W
Papers: 2.7W
Citations: 4.7W