基于小波调制的连续系统模型辨识

IDENTIFICATION OF CONTINUOUS TIME SYSTEM BASED ON WAVELET MODULATING FUNCTIONS

  • 摘要: 介绍了连续模型辨识的调制函数法,其于小波分析理论,提出构造多分辨小波调制函数的新思路,设计了高斯小波调制函数.以二阶系统为例,研究了调制窗口参数与辨识精度的关系,并以此得到调制函数参数的设计依据.典型算例表明本文算法的有效性.

     

    Abstract: Based on modulating function method, an approach to identification of linear continuous time system is considered. Based on wavelet analysis theory, an approach to construction of multiresolution modulating functions is proposed, and the gaussian wavelet modulating functions are designed. Taking a second-order model as an example, the relationship between the accuracy of identification and the parameters of modulating window is investigated, and some tips about designing wavelet modulating function are outlined. The validity and efficiency of proposed algorithm are illustrated by the representative numerical results.

     

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