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A hybrid artificial bee colony algorithm for parameter identification of uncertain fractional-order chaotic systems

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Abstract

It is an important issue to estimate parameters of uncertain fractional-order chaotic systems in nonlinear science. In this paper, fractional orders as well as systematic parameters of fractional-order chaotic systems are all considered as independent variables. Firstly, the parameter estimation problem is transformed into a multi-dimensional function optimization problem. And in the meantime, an effective hybrid artificial bee colony algorithm is proposed to deal with the parameter estimation problem. Numerical simulations are conducted on two typical fractional-order chaotic systems to test the effectiveness of the proposed method. The experiments’ results show that the proposed approach for identification of uncertain fractional-order chaotic systems is a successful and promising method with higher calculation accuracy and faster convergence speed.

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Acknowledgments

This work is supported by the National Nature Science Foundation of China (No. 11371049).

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Authors and Affiliations

  1. Department of Mathematics, Beijing Jiaotong University, Beijing, 100044, People’s Republic of China

    Wei Hu, Yongguang Yu & Shuo Zhang

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  1. Wei Hu
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  2. Yongguang Yu
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  3. Shuo Zhang
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Correspondence to Yongguang Yu.

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Hu, W., Yu, Y. & Zhang, S. A hybrid artificial bee colony algorithm for parameter identification of uncertain fractional-order chaotic systems. Nonlinear Dyn 82, 1441–1456 (2015). https://doi.org/10.1007/s11071-015-2251-6

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