Parameter identification for Van Der PolaDuffing oscillator by a novel artificial bee colony algorithm with differential evolution operators

This paper is concerned with the uncertain parametersa identification of Van Der PolaDuffing oscillators (VDPD) through a non-Lyapunov way with ABC and ABCDEO respectively by converting the problem into a multiple modal non-negative functionsa minimization, which is of vital significance and attract...

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Bibliographic Details
Published in:Applied mathematics and computation 2013-10, Vol.222, p.132-144
Main Authors: Gao, Fei, Lee, Xue-jing, Fei, Feng-xia, Tong, Heng-qing, Qi, Yi-bo, Deng, Yan-fang, Balasingham, Ilangko, Zhao, Hua-ling
Format: Article
Language:English
Subjects:
Algorithms
Evolution
Intelligence
Mathematical analysis
Mathematical models
Operators
Oscillators
Swarm intelligence
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Summary:This paper is concerned with the uncertain parametersa identification of Van Der PolaDuffing oscillators (VDPD) through a non-Lyapunov way with ABC and ABCDEO respectively by converting the problem into a multiple modal non-negative functionsa minimization, which is of vital significance and attracts increasing interests in various research fields. Firstly, a novel artificial bee colony (ABC) algorithm with differential evolution operators (ABCDEO) is introduced to accelerate ABC due to the slow nature of the collective intelligence of honey bee swarms, by doing differential evolution operators to the employed bees colony in a certain probability, a special region contraction rules, and swarm re-initialization strategy based on number-theory nets. Secondly, the unknown parameters of VDPD for three main physical states, the cases with noise, and a comprehensive set of twelve complex benchmark functions including a wide range of dimensions, are employed for experimental verification. Experimental results confirm that the ABCDEO is a successful method in VDPDas parametersa identification.
ISSN:0096-3003
DOI:10.1016/j.amc.2013.07.053