Identification Accuracy of Nonlinear System based on Volterra Model in Frequency Domain

Pavlenko Vitaliy, Fomin Aleksandr, Pavlenko Sergey, Grigorenko Yuriy
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引用次数: 6

Abstract

The accuracy of the interpolation method for identification of nonlinear dynamical systems based on the Volterra model in the frequency domain is studied. To highlight the n-th partial component in the response of the system to the test signal the n-th partial derivative of the response using the test signal amplitude is found and its value is taken at zero. The polyharmonic signals are used as test ones. The algorithmic and software toolkit is developed for identification processes. This toolkit is used to construct the informational model of test system. The model is built as a first, second and third order amplitude–frequency characteristics and phase–frequency characteristics. The comparison of obtained characteristics with standard is given.

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基于频域Volterra模型的非线性系统辨识精度
研究了基于频域Volterra模型的非线性动力系统辨识插值方法的精度。为了突出显示系统对测试信号的响应中的第n个偏分量,利用测试信号的振幅找到响应的第n个偏导数,并取其值为零。多谐信号作为测试信号。为识别过程开发了算法和软件工具包。该工具包用于构建测试系统的信息模型。建立了一阶、二阶和三阶幅频特性和相频特性模型。并将所得特性与标准进行了比较。
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