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Journal of Applied Sciences >

2012 , Vol. 30 >Issue 4: 343 - 348

DOI: https://doi.org/10.3969/j.issn.0255-8297.2012.04.003

Signal and Information Processing

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

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  • 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 date: 2010-03-09

  Revised date: 2011-04-25

  Online published: 2012-07-25

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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

Cite this article

RUI Guo-sheng1, ZHANG Yang1;2, ZHANG Song1;2, MIAO Jun1;2 . Identification of Sine Driving Force of Duffing Oscillator Based on Extended Kalman Filter[J]. Journal of Applied Sciences, 2012 , 30(4) : 343 -348 . DOI: 10.3969/j.issn.0255-8297.2012.04.003

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