中国物理B ›› 2012, Vol. 21 ›› Issue (5): 50507-050507.doi: 10.1088/1674-1056/21/5/050507

• GENERAL • 上一篇    下一篇

Parameter estimation for chaotic systems using the cuckoo search algorithm with an orthogonal learning method

李向涛,殷明浩   

  1. College of Computer Science, Northeast Normal University, Changchun 130117, China
  • 收稿日期:2011-09-20 修回日期:2012-04-27 出版日期:2012-04-01 发布日期:2012-04-01
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 60473042, 60573067 and 60803102).

Parameter estimation for chaotic systems using the cuckoo search algorithm with an orthogonal learning method

Li Xiang-Tao(李向涛) and Yin Ming-Hao(殷明浩)†   

  1. College of Computer Science, Northeast Normal University, Changchun 130117, China
  • Received:2011-09-20 Revised:2012-04-27 Online:2012-04-01 Published:2012-04-01
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 60473042, 60573067 and 60803102).

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摘要： We study the parameter estimation of a nonlinear chaotic system, which can be essentially formulated as a multi-dimensional optimization problem. In this paper, an orthogonal learning cuckoo search algorithm is used to estimate the parameters of chaotic systems. This algorithm can combine the stochastic exploration of the cuckoo search and the exploitation capability of the orthogonal learning strategy. Experiments are conducted on the Lorenz system and the Chen system. The proposed algorithm is used to estimate the parameters for these two systems. Simulation results and comparisons demonstrate that the proposed algorithm is better or at least comparable to the particle swarm optimization and the genetic algorithm when considering the quality of the solutions obtained.

关键词: cuckoo search algorithm, chaotic system, parameter estimation, orthogonal learning

Abstract: We study the parameter estimation of a nonlinear chaotic system, which can be essentially formulated as a multi-dimensional optimization problem. In this paper, an orthogonal learning cuckoo search algorithm is used to estimate the parameters of chaotic systems. This algorithm can combine the stochastic exploration of the cuckoo search and the exploitation capability of the orthogonal learning strategy. Experiments are conducted on the Lorenz system and the Chen system. The proposed algorithm is used to estimate the parameters for these two systems. Simulation results and comparisons demonstrate that the proposed algorithm is better or at least comparable to the particle swarm optimization and the genetic algorithm when considering the quality of the solutions obtained.

Key words: cuckoo search algorithm, chaotic system, parameter estimation, orthogonal learning

中图分类号:  (Numerical simulations of chaotic systems)

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