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

Pei Zhang (), Renyu Yang, Renhuan Yang, Gong Ren, Xiuzeng Yang, Chuangbiao Xu, Baoguo Xu, Huatao Zhang, Yanning Cai and Yaosheng Lu
Additional contact information
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

International Journal of Modern Physics C (IJMPC), 2019, vol. 30, issue 11, 1-20

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.

Keywords: Parameter estimation; fractional-order chaotic systems; improved bird swarm algorithm; fractional derivative (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1142/S0129183119500864

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