| 引用本文: | 向 微, 陈宗海.基于Hammerstein模型描述的非线性系统辨识新方法[J].控制理论与应用,2007,24(1):143~147.[点击复制] |
| XIANG Wei, CHEN Zong-hai.New identification method of nonlinearsystems based on Hammerstein models[J].Control Theory and Technology,2007,24(1):143~147.[点击复制] |
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| 基于Hammerstein模型描述的非线性系统辨识新方法 |
| New identification method of nonlinearsystems based on Hammerstein models |
| 摘要点击 1387 全文点击 2011 投稿时间：2005-01-31 修订日期：2006-02-23 |
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| DOI编号 |
| 2007,24(1):143-147 |
| 中文关键词 Hammerstein模型 Laguerre级数 最小二乘辨识 SVD分解 |
| 英文关键词 Hammerstein models Laguerre functions least
squares estimation singular value decomposition |
| 基金项目 国家高水平大学985计划资助项目(KY2701) |
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| 中文摘要 |
| Hammerstein模型常用来描述pH值或具有幂函数、死区、开关等特性的过程,
本文提出了一种辨识此类对象模型结构和参数的新方法,
首先将非线性静态部分和线性动态部分分别用 非线性基和Laguerre级数表示,
然后通过最小二乘法、矩阵特征值分解和矩阵扩维, 辨识出两部分参数.
并证明了该方法在输出端存在白噪声情况下误差的收敛性. 此方法仅需假设输入为持续激励,
适用范围广, 计算简单, 辨识精度高. 最后通过pH中和滴定实验验证了以上结论.
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| 英文摘要 |
| Hammerstein models are commonly
used to present the pH process or the processes with characteristics
such as exponent, dead-zone and switch. A new method for
identification Hammerstein models is presented in this paper.
Firstly, the nonlinear static part and the linear dynamic part are
expressed by nonlinear
basis functions and the Laguerre functions, respectively. The parameters of these two parts are then
identified by least squares estimation, singular value decomposition and matrix dimension expansion.
The convergence of the output error is also proved when white noises exist in the output signal.
The proposed approach is based on weak assumptions on persistency of the excitation,
so it is suitable for many applications. The operation is easy and the result is accurate.
Finally, a simulation on a pH process is given to validate the
conclusions. |
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