This article considers the parameter estimation for a fractional-order nonlinear finite impulse response system with colored noise. For the fractional-order systems, the challenge and difficulty are to identify the order and parameters of the systems simultaneously under colored noise disturbances. In order to reduce the problem of redundant parameter estimation, the output form of the system can be expressed by a linear combination of unknown parameters through the separation of the key term separation. A key term separation auxiliary model gradient-based iterative algorithm is derived by using the negative gradient search. Meanwhile, to achieve the higher estimation accuracy, we propose a key term separation auxiliary model multiinnovation gradient-based iterative algorithm by utilizing the multiinnovation theory. Finally, the simulation results test the effectiveness of the proposed algorithms.

中文翻译：

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使用关键项分离的分数阶非线性有限脉冲响应系统的迭代参数和阶次识别

本文考虑了具有有色噪声的分数阶非线性有限脉冲响应系统的参数估计。对于分数阶系统，挑战和困难是在有色噪声干扰下同时识别系统的阶数和参数。为了减少冗余参数估计的问题，系统的输出形式可以通过关键项的分离，用未知参数的线性组合来表示。利用负梯度搜索推导出关键项分离辅助模型基于梯度的迭代算法。同时，为了获得更高的估计精度，我们利用多创新理论提出了一种关键项分离辅助模型多创新基于梯度的迭代算法。最后，