Recursive Identification for Hammerstein System with ARX Subsystem
Recursive Identification for Hammerstein System with ARX Subsystem
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DOI：
10.1109/tac.2006.886502
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发表时间：
2006-08
期刊：
影响因子：
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通讯作者：
Wenxiao Zhao;Han-Fu Chen
中科院分区：
文献类型：
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作者：
Wenxiao Zhao;Han-Fu Chen
研究了由静态非线性块f（·）和ARX子系统组成的Hammerstein系统的辨识问题.对f（·）的结构没有任何假设。给出了ARX子系统的系数和f（u）在任意u处的值的递推估计。所有估计都以概率1收敛于真值。数值例子证明了理论分析。
Identification is considered for the Hammerstein system consisting of a static nonlinear block f(·) followed by an ARX subsystem, when the system output is observed with noise. No assumption is made on the structure of f(·). Recursive estimates are given for coefficients of the ARX subsystem and for the value of f(u) at any u. All estimates are convergent to the true values with probability one. Numerical examples are provided justifying the theoretical analysis.