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...

Full description

Saved in:
Bibliographic Details
Main Authors: Cheng Wang, Kaicheng Li, Shuai Su
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2018/7234147
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832558820272898048
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