Hierarchical Newton Iterative Parameter Estimation of a Class of Input Nonlinear Systems Based on the Key Term Separation Principle
This paper investigates the identification problem for a class of input nonlinear systems whose disturbance is in the form of the moving average model. In order to improve the computation complexity, the key term separation principle is introduced to avoid the redundant parameter estimation. Based o...
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Format: | Article |
Language: | English |
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Wiley
2018-01-01
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Series: | Complexity |
Online Access: | http://dx.doi.org/10.1155/2018/7234147 |
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author | Cheng Wang Kaicheng Li Shuai Su |
author_facet | Cheng Wang Kaicheng Li Shuai Su |
author_sort | Cheng Wang |
collection | DOAJ |
description | This paper investigates the identification problem for a class of input nonlinear systems whose disturbance is in the form of the moving average model. In order to improve the computation complexity, the key term separation principle is introduced to avoid the redundant parameter estimation. Based on the decomposition technique, a hierarchical Newton iterative identification method combining the key term separation principle is proposed for enhancing the estimation accuracy and handling the computational load with the presence of the high dimensional matrices. In the identification procedure, the unknown internal items or vectors are replaced with their iterative estimates. The effectiveness of the proposed identification methods is shown via a numerical simulation example. |
format | Article |
id | doaj-art-a924a3bf6d4a47d9b6e09af60b8e7290 |
institution | Kabale University |
issn | 1076-2787 1099-0526 |
language | English |
publishDate | 2018-01-01 |
publisher | Wiley |
record_format | Article |
series | Complexity |
spelling | doaj-art-a924a3bf6d4a47d9b6e09af60b8e72902025-02-03T01:31:35ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/72341477234147Hierarchical Newton Iterative Parameter Estimation of a Class of Input Nonlinear Systems Based on the Key Term Separation PrincipleCheng Wang0Kaicheng Li1Shuai Su2Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi 214122, ChinaNational Engineering Research Center of Rail Transportation Operation and Control System, Beijing Jiaotong University, Beijing 100044, ChinaNational Engineering Research Center of Rail Transportation Operation and Control System, Beijing Jiaotong University, Beijing 100044, ChinaThis paper investigates the identification problem for a class of input nonlinear systems whose disturbance is in the form of the moving average model. In order to improve the computation complexity, the key term separation principle is introduced to avoid the redundant parameter estimation. Based on the decomposition technique, a hierarchical Newton iterative identification method combining the key term separation principle is proposed for enhancing the estimation accuracy and handling the computational load with the presence of the high dimensional matrices. In the identification procedure, the unknown internal items or vectors are replaced with their iterative estimates. The effectiveness of the proposed identification methods is shown via a numerical simulation example.http://dx.doi.org/10.1155/2018/7234147 |
spellingShingle | Cheng Wang Kaicheng Li Shuai Su Hierarchical Newton Iterative Parameter Estimation of a Class of Input Nonlinear Systems Based on the Key Term Separation Principle Complexity |
title | Hierarchical Newton Iterative Parameter Estimation of a Class of Input Nonlinear Systems Based on the Key Term Separation Principle |
title_full | Hierarchical Newton Iterative Parameter Estimation of a Class of Input Nonlinear Systems Based on the Key Term Separation Principle |
title_fullStr | Hierarchical Newton Iterative Parameter Estimation of a Class of Input Nonlinear Systems Based on the Key Term Separation Principle |
title_full_unstemmed | Hierarchical Newton Iterative Parameter Estimation of a Class of Input Nonlinear Systems Based on the Key Term Separation Principle |
title_short | Hierarchical Newton Iterative Parameter Estimation of a Class of Input Nonlinear Systems Based on the Key Term Separation Principle |
title_sort | hierarchical newton iterative parameter estimation of a class of input nonlinear systems based on the key term separation principle |
url | http://dx.doi.org/10.1155/2018/7234147 |
work_keys_str_mv | AT chengwang hierarchicalnewtoniterativeparameterestimationofaclassofinputnonlinearsystemsbasedonthekeytermseparationprinciple AT kaichengli hierarchicalnewtoniterativeparameterestimationofaclassofinputnonlinearsystemsbasedonthekeytermseparationprinciple AT shuaisu hierarchicalnewtoniterativeparameterestimationofaclassofinputnonlinearsystemsbasedonthekeytermseparationprinciple |