Theoretical and experimental studies of parameter estimation based on chaos feedback synchronization.
Theoretical and experimental studies of parameter estimation based on chaos feedback synchronization.
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DOI：
10.1063/1.2404356
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发表时间：
2006-12
期刊：
影响因子：
2.9
通讯作者：
Yu Zhang;Chao Tao;Jack J. Jiang
中科院分区：
文献类型：
--
作者：
Yu Zhang;Chao Tao;Jack J. Jiang
本文对基于混沌反馈同步的参数估计进行了理论和实验研究。以蔡氏混沌系统作为原始系统，以其单变量时间序列作为反馈变量驱动仿真系统。在仿真系统中，采用单纯形法使同步误差最小，迭代逼近原系统参数。此外，还研究了反馈函数、反馈权值和噪声对系统性能的影响。基于反馈同步的参数估计方法显示了其对噪声扰动的鲁棒性。最后，进行了参数估计的电路实验，以检验其实用性。原始蔡氏电路参数可以从其记录的单变量时间序列中很好地逼近。结果表明，基于反馈同步的参数估计方法能够从混沌时间序列中估计出真实的系统参数。
In this paper, we perform theoretical and experimental studies of parameter estimation based on chaos feedback synchronization. The Chua chaotic system is applied as the original system, and its time series of a single variable is applied as a feedback variable to drive a simulative system. The simplex method is employed to minimize the synchronization error in the simulative system to iteratively approach the original system parameters. Furthermore, the effects of feedback function, feedback weight, and noise are investigated. The parameter estimation method based on feedback synchronization shows its robustness to noise perturbation. Finally, the circuit experiment of parameter estimation is implemented in order to examine its practical applicability. The original Chua circuit parameters can be well approached from its recorded time series of a single variable. The results show the parameter estimation method based on feedback synchronization may be capable of estimating real system parameters from a chaotic time series.