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Parameter estimation for fractional-order chaotic systems by improved bird swarm optimization algorithm

Author

Listed:
  • Pei Zhang

    (College of Information Science and Technology, Jinan University, Guangzhou 510632, P. R. China)

  • Renyu Yang

    (#x2020;School of Engineering, Sun Yat-Sen University, Guangzhou 511400, P. R. China)

  • Renhuan Yang

    (College of Information Science and Technology, Jinan University, Guangzhou 510632, P. R. China)

  • Gong Ren

    (College of Information Science and Technology, Jinan University, Guangzhou 510632, P. R. China)

  • Xiuzeng Yang

    (#x2021;Department of Physics and Electronic Engineering, Guangxi Normal University for Nationalites, Chongzuo 532200, P. R. China)

  • Chuangbiao Xu

    (College of Information Science and Technology, Jinan University, Guangzhou 510632, P. R. China)

  • Baoguo Xu

    (#xA7;School of Instrument Science and Engineering, Southeast University, Nanjing 210096, P. R. China)

  • Huatao Zhang

    (#xB6;Key Laboratory of Astronomical Optics & Technology, Nanjing Institute of Astronomical Optics & Technology, Chinese Academy of Sciences, Nanjing 210042, P. R. China)

  • Yanning Cai

    (College of Information Science and Technology, Jinan University, Guangzhou 510632, P. R. China)

  • Yaosheng Lu

    (College of Information Science and Technology, Jinan University, Guangzhou 510632, P. R. China)

Abstract

The essence of parameter estimation for fractional-order chaotic systems is a multi-dimensional parameter optimization problem, which is of great significance for implementing fractional-order chaos control and synchronization. Aiming at the parameter estimation problem of fractional-order chaotic systems, an improved algorithm based on bird swarm algorithm is proposed. The proposed algorithm further studies the social behavior of the original bird swarm algorithm and optimizes the foraging behavior in the original bird swarm algorithm. This method is applied to parameter estimation of fractional-order chaotic systems. Fractional-order unified chaotic system and fractional-order Lorenz system are selected as two examples for parameter estimation systems. Numerical simulation shows that the algorithm has better convergence accuracy, convergence speed and universality than bird swarm algorithm, artificial bee colony algorithm, particle swarm optimization and genetic algorithm.

Suggested Citation

  • Pei Zhang & Renyu Yang & Renhuan Yang & Gong Ren & Xiuzeng Yang & Chuangbiao Xu & Baoguo Xu & Huatao Zhang & Yanning Cai & Yaosheng Lu, 2019. "Parameter estimation for fractional-order chaotic systems by improved bird swarm optimization algorithm," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 30(11), pages 1-20, November.
    • Handle: RePEc:wsi:ijmpcx:v:30:y:2019:i:11:n:s0129183119500864
    DOI: 10.1142/S0129183119500864
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