The article considers the problem of identifying the variable frequency of a sinusoidal signal. To obtain a regression model of the signal, an iterative differentiation of the original analytical expression is performed, and the swapping lemma is applied. The estimation of the parameters of the non-stationary frequency is implemented using the dynamic expansion of the regressor and mixing (DREM) procedure and the Luenberger observer. As a result of the numerical simulation, the efficiency of the proposed algorithm is demonstrated, showing the convergence of the frequency estimate to the true value.

中文翻译：

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正弦信号的非平稳频率估计算法

文章考虑了识别正弦信号的可变频率的问题。为了获得信号的回归模型，对原始解析表达式进行迭代微分，并应用交换引理。非平稳频率参数的估计是使用回归量和混合 (DREM) 程序的动态扩展和 Luenberger 观测器来实现的。作为数值模拟的结果，证明了所提出算法的效率，显示了频率估计对真实值的收敛。