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基于EKF的Duffng振子正弦策动力判别算法
引用本文:芮国胜,张洋,张嵩,苗俊.基于EKF的Duffng振子正弦策动力判别算法[J].应用科学学报,2012(4):343-348.
作者姓名:芮国胜  张洋  张嵩  苗俊
作者单位:海军航空工程学院电子信息工程系;海军航空工程学院研究生管理大队
基金项目:泰山学者建设专项基金资助
摘    要:以Duffng振子系统为研究对象,分析了以正弦函数为周期策动力的Duffng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Duffng振子系统进行递推滤波,实现了对Duffng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Duffng振子系统周期策动力的方法,可以作为运用Duffng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  Duffng混沌系统  正弦策动力  卡尔曼增益

Identification of Sine Driving Force of Duffng Oscillator Based on Extended Kalman Filter
RUI Guo-sheng,ZHANG Yang,ZHANG Song,MIAO Jun.Identification of Sine Driving Force of Duffng Oscillator Based on Extended Kalman Filter[J].Journal of Applied Sciences,2012(4):343-348.
Authors:RUI Guo-sheng  ZHANG Yang  ZHANG Song  MIAO Jun
Institution:1,2 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
Abstract:In studying Duffng 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 Duffng 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 Duffng oscillator.Simulations show performance improvement as compared with the Lypunov exponent method.
Keywords:weak signal detection  Duffng chaotic system  Sine driving force  Kalman gain
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