Sequential Parameter Identification of Fractional-Order Duffing System Based on Differential Evolution Algorithm

Sequential Parameter Identification of Fractional-Order Duffing System Based on Differential Evolution Algorithm

Using the dynamic properties of fractional-order Duffing system, a sequential parameter identification method based on differential evolution optimization algorithm is proposed for the fractional-order Duffing system. Due to the step by step parameter identification method, the dimension of paramete...

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Main Authors: Li Lai, Yuan-Dong Ji, Su-Chuan Zhong, Lu Zhang
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2017/3572365
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spelling doaj-e0b911a105c6449082be91ee1fcec3e42020-11-24T21:52:54ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472017-01-01201710.1155/2017/35723653572365Sequential Parameter Identification of Fractional-Order Duffing System Based on Differential Evolution AlgorithmLi Lai0Yuan-Dong Ji1Su-Chuan Zhong2Lu Zhang3College of Mathematics, Sichuan University, Chengdu 610065, ChinaSchool of Aeronautics & Astronautics, Sichuan University, Chengdu 610065, ChinaSchool of Aeronautics & Astronautics, Sichuan University, Chengdu 610065, ChinaCollege of Mathematics, Sichuan University, Chengdu 610065, ChinaUsing the dynamic properties of fractional-order Duffing system, a sequential parameter identification method based on differential evolution optimization algorithm is proposed for the fractional-order Duffing system. Due to the step by step parameter identification method, the dimension of parameter identification of each step is greatly reduced and the search capability of the differential evolution algorithm has been greatly improved. The simulation results show that the proposed method has higher convergence reliability and accuracy of identification and also has high robustness in the presence of measurement noise.http://dx.doi.org/10.1155/2017/3572365
collection DOAJ
language English
format Article
sources DOAJ
author Li Lai
Yuan-Dong Ji
Su-Chuan Zhong
Lu Zhang
spellingShingle Li Lai
Yuan-Dong Ji
Su-Chuan Zhong
Lu Zhang
Sequential Parameter Identification of Fractional-Order Duffing System Based on Differential Evolution Algorithm
Mathematical Problems in Engineering
author_facet Li Lai
Yuan-Dong Ji
Su-Chuan Zhong
Lu Zhang
author_sort Li Lai
title Sequential Parameter Identification of Fractional-Order Duffing System Based on Differential Evolution Algorithm
title_short Sequential Parameter Identification of Fractional-Order Duffing System Based on Differential Evolution Algorithm
title_full Sequential Parameter Identification of Fractional-Order Duffing System Based on Differential Evolution Algorithm
title_fullStr Sequential Parameter Identification of Fractional-Order Duffing System Based on Differential Evolution Algorithm
title_full_unstemmed Sequential Parameter Identification of Fractional-Order Duffing System Based on Differential Evolution Algorithm
title_sort sequential parameter identification of fractional-order duffing system based on differential evolution algorithm
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2017-01-01
description Using the dynamic properties of fractional-order Duffing system, a sequential parameter identification method based on differential evolution optimization algorithm is proposed for the fractional-order Duffing system. Due to the step by step parameter identification method, the dimension of parameter identification of each step is greatly reduced and the search capability of the differential evolution algorithm has been greatly improved. The simulation results show that the proposed method has higher convergence reliability and accuracy of identification and also has high robustness in the presence of measurement noise.
url http://dx.doi.org/10.1155/2017/3572365
work_keys_str_mv AT lilai sequentialparameteridentificationoffractionalorderduffingsystembasedondifferentialevolutionalgorithm
AT yuandongji sequentialparameteridentificationoffractionalorderduffingsystembasedondifferentialevolutionalgorithm
AT suchuanzhong sequentialparameteridentificationoffractionalorderduffingsystembasedondifferentialevolutionalgorithm
AT luzhang sequentialparameteridentificationoffractionalorderduffingsystembasedondifferentialevolutionalgorithm
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