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应用科学学报 ›› 2012, Vol. 30 ›› Issue (4): 343-348.doi: 10.3969/j.issn.0255-8297.2012.04.003

• 信号与信息处理 • 上一篇    下一篇

基于EKF的Duffing 振子正弦策动力判别算法

芮国胜1， 张洋1;2， 张嵩1;2， 苗俊1;2   

  1. 1. 海军航空工程学院电子信息工程系，山东烟台264001
    2. 海军航空工程学院研究生管理大队，山东烟台264001
  • 收稿日期:2010-03-09 修回日期:2011-04-25 出版日期:2012-07-23 发布日期:2012-07-25
  • 作者简介:芮国胜，教授，博导，研究方向：信号分析与处理、小波分析与应用等，E-mail: ruiguosheng@gmail.com
  • 基金资助:

    泰山学者建设专项基金资助

Identification of Sine Driving Force of Duffing Oscillator Based on Extended Kalman Filter

RUI Guo-sheng1, ZHANG Yang1;2, ZHANG Song1;2, MIAO Jun1;2   

  1. 1. Department of Electronic Information Engineering, Naval Aeronautical and Astronautical University,
    Yantai 264001, Shandong Province, China
    2. Graduate Students’ Brigade, Naval Aeronautical and Astronautical University,
    Yantai 264001, Shandong Province, China
  • Received:2010-03-09 Revised:2011-04-25 Online:2012-07-23 Published:2012-07-25

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1031

被引次数

1

摘要：

以Duffing 振子系统为研究对象，分析了以正弦函数为周期策动力的Duffing 方程基本形式及相应的振子运动，并用扩展卡尔曼滤波(extended Kalman filter, EKF) 对Duffing 振子系统进行递推滤波，实现了对Duffing 振子系统的稳定估计. 根据滤波过程中周期策动力随卡尔曼增益的变化，提出了一种基于卡尔曼增益判别Duffing 振子系统周期策动力的方法，可以作为运用Duffing 振子进行弱信号检测的依据. 仿真结果表明，与经典Lyapunov 指数判别法相比，该算法具有更好的判别性能.

关键词: 弱信号检测；Duffing 混沌系统；正弦策动力；卡尔曼增益

Abstract:

In studying Duffing oscillator systems, a basic model using sine function as a periodic driving force
and the system oscillator’s movement are analyzed. Extended Kalman filter is used to process and estimate
the Duffing oscillator system according to the change of the Kalman gain in the filtering process. A method
using the Kalman gain to identify the periodic force is proposed, which can be used for weak signal detection
with a Duffing oscillator. Simulations show performance improvement as compared with the Lypunov exponent
method.

Key words:  weak signal detection, Duffing chaotic system, Sine driving force, Kalman gain

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