A New Deterministic Identification Approach to Hammerstein Systems
A New Deterministic Identification Approach to Hammerstein Systems
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DOI：
10.1109/tsp.2013.2286103
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发表时间：
2014
影响因子：
5.4
通讯作者：
Chengpu Yu;Cisheng Zhang;Lihua Xie
中科院分区：
文献类型：
--
作者：
Chengpu Yu;Cisheng Zhang;Lihua Xie
研究了Hammerstein系统的确定性辨识问题。基于过采样技术，提出了一种新的确定性辨识方法，即盲目辨识线性动态部分，然后对非线性函数进行估计。所提出的方法允许我们使用小于其他现有方法所要求的线性动态部分的分子多项式长度的过采样率来识别Hammerstein系统。此外，该方法还能在无噪声情况下得到系统参数的真值，在有噪声情况下得到系统参数的渐近一致估计。研究了系统输入的丰富度条件和过采样率的选择，以保证Hammerstein系统的可识别性。仿真实例验证了该方法的有效性。
The deterministic identification of Hammerstein systems is investigated in this paper. Based on the over-sampling technique, a new deterministic identification approach is presented, which blindly identifies the linear dynamic part followed by the estimation of the nonlinear function. The proposed method allows us to identify the Hammerstein system using an over-sampling rate smaller than the numerator polynomial's length of the linear dynamic part as required by other existing methods. In addition, it can obtain the true values of the system parameters in the noise-free case and an asymptotically consistent estimate in the presence of noise. The richness condition of the system input and the selection of the over-sampling rate are studied for the identifiability of the Hammerstein system. Simulation examples are given to show the performance of the proposed method.